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gps_groups • Show schema
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{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '432.200', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 1332, 'aut_gen_orders': [6, 18, 36, 18, 18], 'aut_gens': [[1, 36], [12565, 7596], [12061, 8892], [1405, 12780], [7381, 14220], [1873, 4572]], 'aut_group': None, 'aut_hash': 792994677548912317, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 63936, 'aut_permdeg': 259, 'aut_perms': [8835231879832002776270782753903548331915586349395184643548388738767259861488035600078494366484401308925025550498260666085523796571635325766865672395509039815536468624972121054897191940882571013383996479325682894652523189983794352329138697016893101657259227990356646289639361265941840025389097253802059376960511598884463235211485228438681423199714111635305527970476782478929136088767766408769412106439166049796825440459595828263287308779533461347307248358883399986061556973339111112886491586448320027120090005243699, 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10527823555870074975603631276727534930123080381938560801699659389160869335852234409932577178900313113538948572690250649972005322746659558284875105599890487823697405811984056823157631530153494368404199202483330898641848570339523739916811869104571374811127001590271973469024978055272795440842123286684618579974279080886449777152998256276891855050217669968221849657467625167670778684805935495367974547777515774327020342189569191522540700637478507554970355050961350846636141818894189029251390981618162267513135185327794, 2494953384080998100389713271128525317897264159182681066906839836006098590293590782076399526985465702503692122473021374298515031009653580840748849217419863887491973104783621411422277125261375900735563067064491624377351376511239094233435929212597465766940411165109767790649531146649557986781946211572772221444253823295693640504165620713019927399447868013821965268706270929787339917648770650800293991369319184578997326980511708899709181354642472323780314940650502378619288498475091221718714747433740647089725775665253, 1879156675783510685770034401612354623658578968299413828972656133245984566818528333391914555931981458158298920526995513526936638207474229486422367867841602675586614865559010751105449347027549666611686478864155925273061896774643491976294222588772916154432564373815869072993899188218033374062929235936780705814466848475430148462361279275037496026216791095100559916737874793888820240758477235535763428299315624584787298697532300443308221831936598450016368771330614299801680907195903782593833845207334208728537713208889], 'aut_phi_ratio': 12.333333333333334, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 37, 2, 1], [3, 1, 2, 1], [3, 37, 1, 2], [3, 37, 2, 2], [4, 1, 2, 1], [4, 37, 2, 1], [4, 37, 4, 2], [6, 1, 2, 1], [6, 37, 1, 2], [6, 37, 2, 4], [6, 37, 4, 3], [9, 37, 3, 6], [12, 1, 4, 1], [12, 37, 2, 4], [12, 37, 4, 9], [12, 37, 8, 6], [18, 37, 3, 6], [18, 37, 6, 6], [36, 37, 6, 12], [36, 37, 12, 12], [37, 36, 1, 1], [74, 36, 1, 1], [111, 36, 2, 1], [148, 36, 2, 1], [222, 36, 2, 1], [444, 36, 4, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{222}.C_{18}.C_2^4', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 12, 'autcent_group': '48.38', 'autcent_hash': 38, 'autcent_nilpotent': False, 'autcent_order': 48, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'S_3\\times D_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 1332, 'autcentquo_group': '1332.31', 'autcentquo_hash': 31, 'autcentquo_nilpotent': False, 'autcentquo_order': 1332, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_{37}', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 37, 2], [3, 1, 2], [3, 37, 6], [4, 1, 2], [4, 37, 10], [6, 1, 2], [6, 37, 22], [9, 37, 18], [12, 1, 4], [12, 37, 92], [18, 37, 54], [36, 37, 216], [37, 36, 1], [74, 36, 1], [111, 36, 2], [148, 36, 2], [222, 36, 2], [444, 36, 4]], 'center_label': '12.2', 'center_order': 12, 'central_product': True, 'central_quotient': '1332.31', 'commutator_count': 1, 'commutator_label': '37.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '37.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 1, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['1332.31', 1], ['3.1', 1], ['4.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 37, 1, 2], [3, 1, 2, 1], [3, 37, 2, 3], [4, 1, 2, 1], [4, 37, 2, 5], [6, 1, 2, 1], [6, 37, 2, 11], [9, 37, 6, 3], [12, 1, 4, 1], [12, 37, 4, 23], [18, 37, 6, 9], [36, 37, 12, 18], [37, 36, 1, 1], [74, 36, 1, 1], [111, 36, 2, 1], [148, 36, 2, 1], [222, 36, 2, 1], [444, 36, 4, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 864, 'exponent': 1332, 'exponents_of_order': [4, 3, 1], 'factors_of_aut_order': [2, 3, 37], 'factors_of_order': [2, 3, 37], 'faithful_reps': [[36, 0, 4]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '7992.a', 'hash': 1147931464434849270, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 1332, 'inner_gen_orders': [36, 37], 'inner_gens': [[1, 8676], [7345, 36]], 'inner_hash': 31, 'inner_nilpotent': False, 'inner_order': 1332, 'inner_split': True, 'inner_tex': 'F_{37}', 'inner_used': [1, 2], 'irrC_degree': 36, 'irrQ_degree': 144, 'irrQ_dim': 144, 'irrR_degree': 72, 'irrep_stats': [[1, 432], [36, 12]], 'label': '15984.a', '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': 'C12*F37', 'ngens': 8, '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 90, 'number_characteristic_subgroups': 41, 'number_conjugacy_classes': 444, 'number_divisions': 86, 'number_normal_subgroups': 156, 'number_subgroup_autclasses': 140, 'number_subgroup_classes': 300, 'number_subgroups': 5484, 'old_label': None, 'order': 15984, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 75], [3, 224], [4, 372], [6, 816], [9, 666], [12, 3408], [18, 1998], [36, 7992], [37, 36], [74, 36], [111, 72], [148, 72], [222, 72], [444, 144]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 12], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[5329, 7956], [3997, 8028], [9325, 2628]], 'outer_group': '48.38', 'outer_hash': 38, 'outer_nilpotent': False, 'outer_order': 48, 'outer_permdeg': 7, 'outer_perms': [745, 1680, 1707], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'S_3\\times D_4', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 44, 'pgroup': 0, 'primary_abelian_invariants': [4, 4, 3, 9], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 22], [4, 24], [6, 12], [12, 18], [36, 2], [72, 3], [144, 1]], 'representations': {'PC': {'code': '16524042863852504807657951240713532000254346487170149174608922200597968863130125716179175519619787751934495769927', 'gens': [1, 5], 'pres': [8, -2, -2, -3, -3, -2, -2, -3, -37, 16, 41, 90, 347044, 259932, 82460, 14548, 116, 65669, 240205, 6069, 34877, 141, 153222, 112910, 14134, 6750, 222, 525319, 387087, 48407, 23071]}, 'GLFp': {'d': 2, 'p': 37, 'gens': [50691, 405225, 962409]}, 'Perm': {'d': 44, 'gens': [1473647718507523536228011078992636227327426857028483, 2913759652257673605104566425069958962244530419998948, 61958305861368147964452455736446518711083563906954880]}}, 'schur_multiplier': [12], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [12, 36], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{12}\\times F_{37}', 'transitive_degree': 444, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 108909283
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 1, 'group_order': 15984, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
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id: 108909394
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 1, 'group_order': 15984, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 7992, 'size': 1}
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id: 108909505
{'aut_label': '2B', 'centralizer': '37.a1', 'counter': 3, 'group_counter': 1, 'group_order': 15984, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 15570, 'size': 37}
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id: 108909616
{'aut_label': '2B', 'centralizer': '37.a1', 'counter': 4, 'group_counter': 1, 'group_order': 15984, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 11898, 'size': 37}
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id: 108909672
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 1, 'group_order': 15984, 'label': '3A1', 'order': 3, 'powers': [6, 1, 5], 'representative': 5328, 'size': 1}
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id: 108909683
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 1, 'group_order': 15984, 'label': '3A-1', 'order': 3, 'powers': [5, 1, 6], 'representative': 10656, 'size': 1}
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id: 108909694
{'aut_label': '3B1', 'centralizer': '37.a1', 'counter': 7, 'group_counter': 1, 'group_order': 15984, 'label': '3B1', 'order': 3, 'powers': [8, 1, 7], 'representative': 4044, 'size': 37}
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id: 108909705
{'aut_label': '3B-1', 'centralizer': '37.a1', 'counter': 8, 'group_counter': 1, 'group_order': 15984, 'label': '3B-1', 'order': 3, 'powers': [7, 1, 8], 'representative': 12408, 'size': 37}
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id: 108909716
{'aut_label': '3B-1', 'centralizer': '37.a1', 'counter': 9, 'group_counter': 1, 'group_order': 15984, 'label': '3C1', 'order': 3, 'powers': [10, 1, 9], 'representative': 4056, 'size': 37}
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id: 108909284
{'aut_label': '3B1', 'centralizer': '37.a1', 'counter': 10, 'group_counter': 1, 'group_order': 15984, 'label': '3C-1', 'order': 3, 'powers': [9, 1, 10], 'representative': 7644, 'size': 37}
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id: 108909295
{'aut_label': '3D1', 'centralizer': '37.a1', 'counter': 11, 'group_counter': 1, 'group_order': 15984, 'label': '3D1', 'order': 3, 'powers': [12, 1, 11], 'representative': 12, 'size': 37}
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id: 108909306
{'aut_label': '3D-1', 'centralizer': '37.a1', 'counter': 12, 'group_counter': 1, 'group_order': 15984, 'label': '3D-1', 'order': 3, 'powers': [11, 1, 12], 'representative': 24, 'size': 37}
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id: 108909317
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 1, 'group_order': 15984, 'label': '4A1', 'order': 4, 'powers': [2, 14, 13], 'representative': 3996, 'size': 1}
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id: 108909328
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 14, 'group_counter': 1, 'group_order': 15984, 'label': '4A-1', 'order': 4, 'powers': [2, 13, 14], 'representative': 11988, 'size': 1}
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id: 108909339
{'aut_label': '4B1', 'centralizer': '37.a1', 'counter': 15, 'group_counter': 1, 'group_order': 15984, 'label': '4B1', 'order': 4, 'powers': [2, 16, 15], 'representative': 7470, 'size': 37}
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id: 108909350
{'aut_label': '4B1', 'centralizer': '37.a1', 'counter': 16, 'group_counter': 1, 'group_order': 15984, 'label': '4B-1', 'order': 4, 'powers': [2, 15, 16], 'representative': 15462, 'size': 37}
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id: 108909361
{'aut_label': '4C1', 'centralizer': '37.a1', 'counter': 17, 'group_counter': 1, 'group_order': 15984, 'label': '4C1', 'order': 4, 'powers': [3, 18, 17], 'representative': 9081, 'size': 37}
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id: 108909372
{'aut_label': '4C-1', 'centralizer': '37.a1', 'counter': 18, 'group_counter': 1, 'group_order': 15984, 'label': '4C-1', 'order': 4, 'powers': [3, 17, 18], 'representative': 6507, 'size': 37}
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id: 108909383
{'aut_label': '4C1', 'centralizer': '37.a1', 'counter': 19, 'group_counter': 1, 'group_order': 15984, 'label': '4D1', 'order': 4, 'powers': [3, 20, 19], 'representative': 4545, 'size': 37}
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id: 108909395
{'aut_label': '4C-1', 'centralizer': '37.a1', 'counter': 20, 'group_counter': 1, 'group_order': 15984, 'label': '4D-1', 'order': 4, 'powers': [3, 19, 20], 'representative': 3267, 'size': 37}
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id: 108909406
{'aut_label': '4C1', 'centralizer': '37.a1', 'counter': 21, 'group_counter': 1, 'group_order': 15984, 'label': '4E1', 'order': 4, 'powers': [4, 22, 21], 'representative': 2277, 'size': 37}
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id: 108909417
{'aut_label': '4C-1', 'centralizer': '37.a1', 'counter': 22, 'group_counter': 1, 'group_order': 15984, 'label': '4E-1', 'order': 4, 'powers': [4, 21, 22], 'representative': 1647, 'size': 37}
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id: 108909428
{'aut_label': '4C-1', 'centralizer': '37.a1', 'counter': 23, 'group_counter': 1, 'group_order': 15984, 'label': '4F1', 'order': 4, 'powers': [4, 24, 23], 'representative': 12231, 'size': 37}
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id: 108909439
{'aut_label': '4C1', 'centralizer': '37.a1', 'counter': 24, 'group_counter': 1, 'group_order': 15984, 'label': '4F-1', 'order': 4, 'powers': [4, 23, 24], 'representative': 10701, 'size': 37}
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id: 108909450
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 25, 'group_counter': 1, 'group_order': 15984, 'label': '6A1', 'order': 6, 'powers': [5, 2, 25], 'representative': 2664, 'size': 1}
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id: 108909461
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 26, 'group_counter': 1, 'group_order': 15984, 'label': '6A-1', 'order': 6, 'powers': [6, 2, 26], 'representative': 13320, 'size': 1}
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id: 108909472
{'aut_label': '6B1', 'centralizer': '37.a1', 'counter': 27, 'group_counter': 1, 'group_order': 15984, 'label': '6B1', 'order': 6, 'powers': [7, 2, 27], 'representative': 4416, 'size': 37}
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id: 108909483
{'aut_label': '6B-1', 'centralizer': '37.a1', 'counter': 28, 'group_counter': 1, 'group_order': 15984, 'label': '6B-1', 'order': 6, 'powers': [8, 2, 28], 'representative': 12036, 'size': 37}
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id: 108909494
{'aut_label': '6B-1', 'centralizer': '37.a1', 'counter': 29, 'group_counter': 1, 'group_order': 15984, 'label': '6C1', 'order': 6, 'powers': [9, 2, 29], 'representative': 15636, 'size': 37}
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id: 108909506
{'aut_label': '6B1', 'centralizer': '37.a1', 'counter': 30, 'group_counter': 1, 'group_order': 15984, 'label': '6C-1', 'order': 6, 'powers': [10, 2, 30], 'representative': 12048, 'size': 37}
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id: 108909517
{'aut_label': '6D1', 'centralizer': '37.a1', 'counter': 31, 'group_counter': 1, 'group_order': 15984, 'label': '6D1', 'order': 6, 'powers': [7, 3, 31], 'representative': 12822, 'size': 37}
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id: 108909528
{'aut_label': '6D-1', 'centralizer': '37.a1', 'counter': 32, 'group_counter': 1, 'group_order': 15984, 'label': '6D-1', 'order': 6, 'powers': [8, 3, 32], 'representative': 10974, 'size': 37}
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id: 108909539
{'aut_label': '6D1', 'centralizer': '37.a1', 'counter': 33, 'group_counter': 1, 'group_order': 15984, 'label': '6E1', 'order': 6, 'powers': [10, 3, 33], 'representative': 14406, 'size': 37}
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id: 108909550
{'aut_label': '6D-1', 'centralizer': '37.a1', 'counter': 34, 'group_counter': 1, 'group_order': 15984, 'label': '6E-1', 'order': 6, 'powers': [9, 3, 34], 'representative': 5502, 'size': 37}
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id: 108909561
{'aut_label': '6D1', 'centralizer': '37.a1', 'counter': 35, 'group_counter': 1, 'group_order': 15984, 'label': '6F1', 'order': 6, 'powers': [7, 4, 35], 'representative': 15198, 'size': 37}
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id: 108909572
{'aut_label': '6D-1', 'centralizer': '37.a1', 'counter': 36, 'group_counter': 1, 'group_order': 15984, 'label': '6F-1', 'order': 6, 'powers': [8, 4, 36], 'representative': 10758, 'size': 37}
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id: 108909583
{'aut_label': '6G1', 'centralizer': '37.a1', 'counter': 37, 'group_counter': 1, 'group_order': 15984, 'label': '6G1', 'order': 6, 'powers': [5, 3, 37], 'representative': 6354, 'size': 37}
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id: 108909594
{'aut_label': '6G1', 'centralizer': '37.a1', 'counter': 38, 'group_counter': 1, 'group_order': 15984, 'label': '6G-1', 'order': 6, 'powers': [6, 3, 38], 'representative': 1026, 'size': 37}
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id: 108909605
{'aut_label': '6G1', 'centralizer': '37.a1', 'counter': 39, 'group_counter': 1, 'group_order': 15984, 'label': '6H1', 'order': 6, 'powers': [5, 4, 39], 'representative': 9594, 'size': 37}
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id: 108909617
{'aut_label': '6G1', 'centralizer': '37.a1', 'counter': 40, 'group_counter': 1, 'group_order': 15984, 'label': '6H-1', 'order': 6, 'powers': [6, 4, 40], 'representative': 4266, 'size': 37}
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id: 108909628
{'aut_label': '6D1', 'centralizer': '37.a1', 'counter': 41, 'group_counter': 1, 'group_order': 15984, 'label': '6I1', 'order': 6, 'powers': [10, 4, 41], 'representative': 12030, 'size': 37}
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id: 108909639
{'aut_label': '6D-1', 'centralizer': '37.a1', 'counter': 42, 'group_counter': 1, 'group_order': 15984, 'label': '6I-1', 'order': 6, 'powers': [9, 4, 42], 'representative': 5718, 'size': 37}
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id: 108909650
{'aut_label': '6J1', 'centralizer': '37.a1', 'counter': 43, 'group_counter': 1, 'group_order': 15984, 'label': '6J1', 'order': 6, 'powers': [11, 3, 43], 'representative': 6, 'size': 37}
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id: 108909661
{'aut_label': '6J-1', 'centralizer': '37.a1', 'counter': 44, 'group_counter': 1, 'group_order': 15984, 'label': '6J-1', 'order': 6, 'powers': [12, 3, 44], 'representative': 30, 'size': 37}
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id: 108909667
{'aut_label': '6K1', 'centralizer': '37.a1', 'counter': 45, 'group_counter': 1, 'group_order': 15984, 'label': '6K1', 'order': 6, 'powers': [11, 2, 45], 'representative': 10608, 'size': 37}
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id: 108909668
{'aut_label': '6K-1', 'centralizer': '37.a1', 'counter': 46, 'group_counter': 1, 'group_order': 15984, 'label': '6K-1', 'order': 6, 'powers': [12, 2, 46], 'representative': 14052, 'size': 37}
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id: 108909669
{'aut_label': '6J1', 'centralizer': '37.a1', 'counter': 47, 'group_counter': 1, 'group_order': 15984, 'label': '6L1', 'order': 6, 'powers': [11, 4, 47], 'representative': 1950, 'size': 37}
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id: 108909670
{'aut_label': '6J-1', 'centralizer': '37.a1', 'counter': 48, 'group_counter': 1, 'group_order': 15984, 'label': '6L-1', 'order': 6, 'powers': [12, 4, 48], 'representative': 11478, 'size': 37}
-
id: 108909671
{'aut_label': '9A1', 'centralizer': '37.a1', 'counter': 49, 'group_counter': 1, 'group_order': 15984, 'label': '9A1', 'order': 9, 'powers': [51, 11, 49], 'representative': 4, 'size': 37}
-
id: 108909673
{'aut_label': '9A-1', 'centralizer': '37.a1', 'counter': 50, 'group_counter': 1, 'group_order': 15984, 'label': '9A-1', 'order': 9, 'powers': [52, 12, 50], 'representative': 32, 'size': 37}
-
id: 108909674
{'aut_label': '9A2', 'centralizer': '37.a1', 'counter': 51, 'group_counter': 1, 'group_order': 15984, 'label': '9A2', 'order': 9, 'powers': [53, 12, 51], 'representative': 8, 'size': 37}
-
id: 108909675
{'aut_label': '9A-2', 'centralizer': '37.a1', 'counter': 52, 'group_counter': 1, 'group_order': 15984, 'label': '9A-2', 'order': 9, 'powers': [54, 11, 52], 'representative': 28, 'size': 37}
-
id: 108909676
{'aut_label': '9A4', 'centralizer': '37.a1', 'counter': 53, 'group_counter': 1, 'group_order': 15984, 'label': '9A4', 'order': 9, 'powers': [50, 11, 53], 'representative': 16, 'size': 37}
-
id: 108909677
{'aut_label': '9A-4', 'centralizer': '37.a1', 'counter': 54, 'group_counter': 1, 'group_order': 15984, 'label': '9A-4', 'order': 9, 'powers': [49, 12, 54], 'representative': 20, 'size': 37}
-
id: 108909678
{'aut_label': '9A4', 'centralizer': '37.a1', 'counter': 55, 'group_counter': 1, 'group_order': 15984, 'label': '9B1', 'order': 9, 'powers': [57, 11, 55], 'representative': 14416, 'size': 37}
-
id: 108909679
{'aut_label': '9A-4', 'centralizer': '37.a1', 'counter': 56, 'group_counter': 1, 'group_order': 15984, 'label': '9B-1', 'order': 9, 'powers': [58, 12, 56], 'representative': 8948, 'size': 37}
-
id: 108909680
{'aut_label': '9A-1', 'centralizer': '37.a1', 'counter': 57, 'group_counter': 1, 'group_order': 15984, 'label': '9B2', 'order': 9, 'powers': [59, 12, 57], 'representative': 15440, 'size': 37}
-
id: 108909681
{'aut_label': '9A1', 'centralizer': '37.a1', 'counter': 58, 'group_counter': 1, 'group_order': 15984, 'label': '9B-2', 'order': 9, 'powers': [60, 11, 58], 'representative': 4036, 'size': 37}
-
id: 108909682
{'aut_label': '9A-2', 'centralizer': '37.a1', 'counter': 59, 'group_counter': 1, 'group_order': 15984, 'label': '9B4', 'order': 9, 'powers': [56, 11, 59], 'representative': 6220, 'size': 37}
-
id: 108909684
{'aut_label': '9A2', 'centralizer': '37.a1', 'counter': 60, 'group_counter': 1, 'group_order': 15984, 'label': '9B-4', 'order': 9, 'powers': [55, 12, 60], 'representative': 296, 'size': 37}
-
id: 108909685
{'aut_label': '9A2', 'centralizer': '37.a1', 'counter': 61, 'group_counter': 1, 'group_order': 15984, 'label': '9C1', 'order': 9, 'powers': [63, 12, 61], 'representative': 8360, 'size': 37}
-
id: 108909686
{'aut_label': '9A-2', 'centralizer': '37.a1', 'counter': 62, 'group_counter': 1, 'group_order': 15984, 'label': '9C-1', 'order': 9, 'powers': [64, 11, 62], 'representative': 3772, 'size': 37}
-
id: 108909687
{'aut_label': '9A4', 'centralizer': '37.a1', 'counter': 63, 'group_counter': 1, 'group_order': 15984, 'label': '9C2', 'order': 9, 'powers': [65, 11, 63], 'representative': 2032, 'size': 37}
-
id: 108909688
{'aut_label': '9A-4', 'centralizer': '37.a1', 'counter': 64, 'group_counter': 1, 'group_order': 15984, 'label': '9C-2', 'order': 9, 'powers': [66, 12, 64], 'representative': 3188, 'size': 37}
-
id: 108909689
{'aut_label': '9A-1', 'centralizer': '37.a1', 'counter': 65, 'group_counter': 1, 'group_order': 15984, 'label': '9C4', 'order': 9, 'powers': [62, 12, 65], 'representative': 15296, 'size': 37}
-
id: 108909690
{'aut_label': '9A1', 'centralizer': '37.a1', 'counter': 66, 'group_counter': 1, 'group_order': 15984, 'label': '9C-4', 'order': 9, 'powers': [61, 11, 66], 'representative': 5044, 'size': 37}
-
id: 108909691
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 67, 'group_counter': 1, 'group_order': 15984, 'label': '12A1', 'order': 12, 'powers': [25, 13, 67], 'representative': 1332, 'size': 1}
-
id: 108909692
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 68, 'group_counter': 1, 'group_order': 15984, 'label': '12A-1', 'order': 12, 'powers': [26, 14, 68], 'representative': 14652, 'size': 1}
-
id: 108909693
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 69, 'group_counter': 1, 'group_order': 15984, 'label': '12A5', 'order': 12, 'powers': [26, 13, 69], 'representative': 6660, 'size': 1}
-
id: 108909695
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 70, 'group_counter': 1, 'group_order': 15984, 'label': '12A-5', 'order': 12, 'powers': [25, 14, 70], 'representative': 9324, 'size': 1}
-
id: 108909696
{'aut_label': '12B1', 'centralizer': '37.a1', 'counter': 71, 'group_counter': 1, 'group_order': 15984, 'label': '12B1', 'order': 12, 'powers': [27, 13, 71], 'representative': 48, 'size': 37}
-
id: 108909697
{'aut_label': '12B-1', 'centralizer': '37.a1', 'counter': 72, 'group_counter': 1, 'group_order': 15984, 'label': '12B-1', 'order': 12, 'powers': [28, 14, 72], 'representative': 420, 'size': 37}
-
id: 108909698
{'aut_label': '12B-1', 'centralizer': '37.a1', 'counter': 73, 'group_counter': 1, 'group_order': 15984, 'label': '12B5', 'order': 12, 'powers': [28, 13, 73], 'representative': 204, 'size': 37}
-
id: 108909699
{'aut_label': '12B1', 'centralizer': '37.a1', 'counter': 74, 'group_counter': 1, 'group_order': 15984, 'label': '12B-5', 'order': 12, 'powers': [27, 14, 74], 'representative': 264, 'size': 37}
-
id: 108909700
{'aut_label': '12B-1', 'centralizer': '37.a1', 'counter': 75, 'group_counter': 1, 'group_order': 15984, 'label': '12C1', 'order': 12, 'powers': [29, 13, 75], 'representative': 60, 'size': 37}
-
id: 108909701
{'aut_label': '12B1', 'centralizer': '37.a1', 'counter': 76, 'group_counter': 1, 'group_order': 15984, 'label': '12C-1', 'order': 12, 'powers': [30, 14, 76], 'representative': 408, 'size': 37}
-
id: 108909702
{'aut_label': '12B1', 'centralizer': '37.a1', 'counter': 77, 'group_counter': 1, 'group_order': 15984, 'label': '12C5', 'order': 12, 'powers': [30, 13, 77], 'representative': 192, 'size': 37}
-
id: 108909703
{'aut_label': '12B-1', 'centralizer': '37.a1', 'counter': 78, 'group_counter': 1, 'group_order': 15984, 'label': '12C-5', 'order': 12, 'powers': [29, 14, 78], 'representative': 276, 'size': 37}
-
id: 108909704
{'aut_label': '12D1', 'centralizer': '37.a1', 'counter': 79, 'group_counter': 1, 'group_order': 15984, 'label': '12D1', 'order': 12, 'powers': [29, 15, 79], 'representative': 42, 'size': 37}
-
id: 108909706
{'aut_label': '12D-1', 'centralizer': '37.a1', 'counter': 80, 'group_counter': 1, 'group_order': 15984, 'label': '12D-1', 'order': 12, 'powers': [30, 16, 80], 'representative': 426, 'size': 37}
-
id: 108909707
{'aut_label': '12D-1', 'centralizer': '37.a1', 'counter': 81, 'group_counter': 1, 'group_order': 15984, 'label': '12D5', 'order': 12, 'powers': [30, 15, 81], 'representative': 210, 'size': 37}
-
id: 108909708
{'aut_label': '12D1', 'centralizer': '37.a1', 'counter': 82, 'group_counter': 1, 'group_order': 15984, 'label': '12D-5', 'order': 12, 'powers': [29, 16, 82], 'representative': 258, 'size': 37}
-
id: 108909709
{'aut_label': '12E1', 'centralizer': '37.a1', 'counter': 83, 'group_counter': 1, 'group_order': 15984, 'label': '12E1', 'order': 12, 'powers': [31, 17, 83], 'representative': 147, 'size': 37}
-
id: 108909710
{'aut_label': '12E-1', 'centralizer': '37.a1', 'counter': 84, 'group_counter': 1, 'group_order': 15984, 'label': '12E-1', 'order': 12, 'powers': [32, 18, 84], 'representative': 321, 'size': 37}
-
id: 108909711
{'aut_label': '12E5', 'centralizer': '37.a1', 'counter': 85, 'group_counter': 1, 'group_order': 15984, 'label': '12E5', 'order': 12, 'powers': [32, 17, 85], 'representative': 303, 'size': 37}
-
id: 108909712
{'aut_label': '12E-5', 'centralizer': '37.a1', 'counter': 86, 'group_counter': 1, 'group_order': 15984, 'label': '12E-5', 'order': 12, 'powers': [31, 18, 86], 'representative': 165, 'size': 37}
-
id: 108909713
{'aut_label': '12E1', 'centralizer': '37.a1', 'counter': 87, 'group_counter': 1, 'group_order': 15984, 'label': '12F1', 'order': 12, 'powers': [33, 19, 87], 'representative': 75, 'size': 37}
-
id: 108909714
{'aut_label': '12E-1', 'centralizer': '37.a1', 'counter': 88, 'group_counter': 1, 'group_order': 15984, 'label': '12F-1', 'order': 12, 'powers': [34, 20, 88], 'representative': 393, 'size': 37}
-
id: 108909715
{'aut_label': '12E5', 'centralizer': '37.a1', 'counter': 89, 'group_counter': 1, 'group_order': 15984, 'label': '12F5', 'order': 12, 'powers': [34, 19, 89], 'representative': 375, 'size': 37}
-
id: 108909717
{'aut_label': '12E-5', 'centralizer': '37.a1', 'counter': 90, 'group_counter': 1, 'group_order': 15984, 'label': '12F-5', 'order': 12, 'powers': [33, 20, 90], 'representative': 93, 'size': 37}
-
id: 108909718
{'aut_label': '12E1', 'centralizer': '37.a1', 'counter': 91, 'group_counter': 1, 'group_order': 15984, 'label': '12G1', 'order': 12, 'powers': [35, 21, 91], 'representative': 39, 'size': 37}
-
id: 108909719
{'aut_label': '12E-1', 'centralizer': '37.a1', 'counter': 92, 'group_counter': 1, 'group_order': 15984, 'label': '12G-1', 'order': 12, 'powers': [36, 22, 92], 'representative': 429, 'size': 37}
-
id: 108909720
{'aut_label': '12E5', 'centralizer': '37.a1', 'counter': 93, 'group_counter': 1, 'group_order': 15984, 'label': '12G5', 'order': 12, 'powers': [36, 21, 93], 'representative': 195, 'size': 37}
-
id: 108909721
{'aut_label': '12E-5', 'centralizer': '37.a1', 'counter': 94, 'group_counter': 1, 'group_order': 15984, 'label': '12G-5', 'order': 12, 'powers': [35, 22, 94], 'representative': 273, 'size': 37}
-
id: 108909722
{'aut_label': '12H1', 'centralizer': '37.a1', 'counter': 95, 'group_counter': 1, 'group_order': 15984, 'label': '12H1', 'order': 12, 'powers': [37, 18, 95], 'representative': 153, 'size': 37}
-
id: 108909723
{'aut_label': '12H-1', 'centralizer': '37.a1', 'counter': 96, 'group_counter': 1, 'group_order': 15984, 'label': '12H-1', 'order': 12, 'powers': [38, 17, 96], 'representative': 315, 'size': 37}
-
id: 108909724
{'aut_label': '12H1', 'centralizer': '37.a1', 'counter': 97, 'group_counter': 1, 'group_order': 15984, 'label': '12H5', 'order': 12, 'powers': [38, 18, 97], 'representative': 297, 'size': 37}
-
id: 108909725
{'aut_label': '12H-1', 'centralizer': '37.a1', 'counter': 98, 'group_counter': 1, 'group_order': 15984, 'label': '12H-5', 'order': 12, 'powers': [37, 17, 98], 'representative': 171, 'size': 37}
-
id: 108909726
{'aut_label': '12H1', 'centralizer': '37.a1', 'counter': 99, 'group_counter': 1, 'group_order': 15984, 'label': '12I1', 'order': 12, 'powers': [38, 20, 99], 'representative': 81, 'size': 37}
-
id: 108909285
{'aut_label': '12H-1', 'centralizer': '37.a1', 'counter': 100, 'group_counter': 1, 'group_order': 15984, 'label': '12I-1', 'order': 12, 'powers': [37, 19, 100], 'representative': 387, 'size': 37}
-
id: 108909286
{'aut_label': '12H1', 'centralizer': '37.a1', 'counter': 101, 'group_counter': 1, 'group_order': 15984, 'label': '12I5', 'order': 12, 'powers': [37, 20, 101], 'representative': 369, 'size': 37}
-
id: 108909287
{'aut_label': '12H-1', 'centralizer': '37.a1', 'counter': 102, 'group_counter': 1, 'group_order': 15984, 'label': '12I-5', 'order': 12, 'powers': [38, 19, 102], 'representative': 99, 'size': 37}
-
id: 108909288
{'aut_label': '12H1', 'centralizer': '37.a1', 'counter': 103, 'group_counter': 1, 'group_order': 15984, 'label': '12J1', 'order': 12, 'powers': [39, 23, 103], 'representative': 45, 'size': 37}
-
id: 108909289
{'aut_label': '12H-1', 'centralizer': '37.a1', 'counter': 104, 'group_counter': 1, 'group_order': 15984, 'label': '12J-1', 'order': 12, 'powers': [40, 24, 104], 'representative': 423, 'size': 37}
-
id: 108909290
{'aut_label': '12H1', 'centralizer': '37.a1', 'counter': 105, 'group_counter': 1, 'group_order': 15984, 'label': '12J5', 'order': 12, 'powers': [40, 23, 105], 'representative': 189, 'size': 37}
-
id: 108909291
{'aut_label': '12H-1', 'centralizer': '37.a1', 'counter': 106, 'group_counter': 1, 'group_order': 15984, 'label': '12J-5', 'order': 12, 'powers': [39, 24, 106], 'representative': 279, 'size': 37}
-
id: 108909292
{'aut_label': '12E1', 'centralizer': '37.a1', 'counter': 107, 'group_counter': 1, 'group_order': 15984, 'label': '12K1', 'order': 12, 'powers': [33, 17, 107], 'representative': 291, 'size': 37}
-
id: 108909293
{'aut_label': '12E-1', 'centralizer': '37.a1', 'counter': 108, 'group_counter': 1, 'group_order': 15984, 'label': '12K-1', 'order': 12, 'powers': [34, 18, 108], 'representative': 177, 'size': 37}
-
id: 108909294
{'aut_label': '12E5', 'centralizer': '37.a1', 'counter': 109, 'group_counter': 1, 'group_order': 15984, 'label': '12K5', 'order': 12, 'powers': [34, 17, 109], 'representative': 159, 'size': 37}
-
id: 108909296
{'aut_label': '12E-5', 'centralizer': '37.a1', 'counter': 110, 'group_counter': 1, 'group_order': 15984, 'label': '12K-5', 'order': 12, 'powers': [33, 18, 110], 'representative': 309, 'size': 37}
-
id: 108909297
{'aut_label': '12D1', 'centralizer': '37.a1', 'counter': 111, 'group_counter': 1, 'group_order': 15984, 'label': '12L1', 'order': 12, 'powers': [28, 15, 111], 'representative': 186, 'size': 37}
-
id: 108909298
{'aut_label': '12D-1', 'centralizer': '37.a1', 'counter': 112, 'group_counter': 1, 'group_order': 15984, 'label': '12L-1', 'order': 12, 'powers': [27, 16, 112], 'representative': 282, 'size': 37}
-
id: 108909299
{'aut_label': '12D-1', 'centralizer': '37.a1', 'counter': 113, 'group_counter': 1, 'group_order': 15984, 'label': '12L5', 'order': 12, 'powers': [27, 15, 113], 'representative': 66, 'size': 37}
-
id: 108909300
{'aut_label': '12D1', 'centralizer': '37.a1', 'counter': 114, 'group_counter': 1, 'group_order': 15984, 'label': '12L-5', 'order': 12, 'powers': [28, 16, 114], 'representative': 402, 'size': 37}
-
id: 108909301
{'aut_label': '12M1', 'centralizer': '37.a1', 'counter': 115, 'group_counter': 1, 'group_order': 15984, 'label': '12M1', 'order': 12, 'powers': [25, 15, 115], 'representative': 54, 'size': 37}
-
id: 108909302
{'aut_label': '12M1', 'centralizer': '37.a1', 'counter': 116, 'group_counter': 1, 'group_order': 15984, 'label': '12M-1', 'order': 12, 'powers': [26, 16, 116], 'representative': 414, 'size': 37}
-
id: 108909303
{'aut_label': '12M1', 'centralizer': '37.a1', 'counter': 117, 'group_counter': 1, 'group_order': 15984, 'label': '12M5', 'order': 12, 'powers': [26, 15, 117], 'representative': 198, 'size': 37}
-
id: 108909304
{'aut_label': '12M1', 'centralizer': '37.a1', 'counter': 118, 'group_counter': 1, 'group_order': 15984, 'label': '12M-5', 'order': 12, 'powers': [25, 16, 118], 'representative': 270, 'size': 37}
-
id: 108909305
{'aut_label': '12E1', 'centralizer': '37.a1', 'counter': 119, 'group_counter': 1, 'group_order': 15984, 'label': '12N1', 'order': 12, 'powers': [41, 21, 119], 'representative': 183, 'size': 37}
-
id: 108909307
{'aut_label': '12E-1', 'centralizer': '37.a1', 'counter': 120, 'group_counter': 1, 'group_order': 15984, 'label': '12N-1', 'order': 12, 'powers': [42, 22, 120], 'representative': 285, 'size': 37}
-
id: 108909308
{'aut_label': '12E5', 'centralizer': '37.a1', 'counter': 121, 'group_counter': 1, 'group_order': 15984, 'label': '12N5', 'order': 12, 'powers': [42, 21, 121], 'representative': 51, 'size': 37}
-
id: 108909309
{'aut_label': '12E-5', 'centralizer': '37.a1', 'counter': 122, 'group_counter': 1, 'group_order': 15984, 'label': '12N-5', 'order': 12, 'powers': [41, 22, 122], 'representative': 417, 'size': 37}
-
id: 108909310
{'aut_label': '12E5', 'centralizer': '37.a1', 'counter': 123, 'group_counter': 1, 'group_order': 15984, 'label': '12O1', 'order': 12, 'powers': [32, 19, 123], 'representative': 87, 'size': 37}
-
id: 108909311
{'aut_label': '12E-5', 'centralizer': '37.a1', 'counter': 124, 'group_counter': 1, 'group_order': 15984, 'label': '12O-1', 'order': 12, 'powers': [31, 20, 124], 'representative': 381, 'size': 37}
-
id: 108909312
{'aut_label': '12E1', 'centralizer': '37.a1', 'counter': 125, 'group_counter': 1, 'group_order': 15984, 'label': '12O5', 'order': 12, 'powers': [31, 19, 125], 'representative': 363, 'size': 37}
-
id: 108909313
{'aut_label': '12E-1', 'centralizer': '37.a1', 'counter': 126, 'group_counter': 1, 'group_order': 15984, 'label': '12O-5', 'order': 12, 'powers': [32, 20, 126], 'representative': 105, 'size': 37}
-
id: 108909314
{'aut_label': '12E-5', 'centralizer': '37.a1', 'counter': 127, 'group_counter': 1, 'group_order': 15984, 'label': '12P1', 'order': 12, 'powers': [35, 23, 127], 'representative': 57, 'size': 37}
-
id: 108909315
{'aut_label': '12E5', 'centralizer': '37.a1', 'counter': 128, 'group_counter': 1, 'group_order': 15984, 'label': '12P-1', 'order': 12, 'powers': [36, 24, 128], 'representative': 411, 'size': 37}
-
id: 108909316
{'aut_label': '12E-1', 'centralizer': '37.a1', 'counter': 129, 'group_counter': 1, 'group_order': 15984, 'label': '12P5', 'order': 12, 'powers': [36, 23, 129], 'representative': 213, 'size': 37}
-
id: 108909318
{'aut_label': '12E1', 'centralizer': '37.a1', 'counter': 130, 'group_counter': 1, 'group_order': 15984, 'label': '12P-5', 'order': 12, 'powers': [35, 24, 130], 'representative': 255, 'size': 37}
-
id: 108909319
{'aut_label': '12H-1', 'centralizer': '37.a1', 'counter': 131, 'group_counter': 1, 'group_order': 15984, 'label': '12Q1', 'order': 12, 'powers': [39, 21, 131], 'representative': 63, 'size': 37}
-
id: 108909320
{'aut_label': '12H1', 'centralizer': '37.a1', 'counter': 132, 'group_counter': 1, 'group_order': 15984, 'label': '12Q-1', 'order': 12, 'powers': [40, 22, 132], 'representative': 405, 'size': 37}
-
id: 108909321
{'aut_label': '12H-1', 'centralizer': '37.a1', 'counter': 133, 'group_counter': 1, 'group_order': 15984, 'label': '12Q5', 'order': 12, 'powers': [40, 21, 133], 'representative': 207, 'size': 37}
-
id: 108909322
{'aut_label': '12H1', 'centralizer': '37.a1', 'counter': 134, 'group_counter': 1, 'group_order': 15984, 'label': '12Q-5', 'order': 12, 'powers': [39, 22, 134], 'representative': 261, 'size': 37}
-
id: 108909323
{'aut_label': '12E-1', 'centralizer': '37.a1', 'counter': 135, 'group_counter': 1, 'group_order': 15984, 'label': '12R1', 'order': 12, 'powers': [42, 23, 135], 'representative': 69, 'size': 37}
-
id: 108909324
{'aut_label': '12E1', 'centralizer': '37.a1', 'counter': 136, 'group_counter': 1, 'group_order': 15984, 'label': '12R-1', 'order': 12, 'powers': [41, 24, 136], 'representative': 399, 'size': 37}
-
id: 108909325
{'aut_label': '12E-5', 'centralizer': '37.a1', 'counter': 137, 'group_counter': 1, 'group_order': 15984, 'label': '12R5', 'order': 12, 'powers': [41, 23, 137], 'representative': 201, 'size': 37}
-
id: 108909326
{'aut_label': '12E5', 'centralizer': '37.a1', 'counter': 138, 'group_counter': 1, 'group_order': 15984, 'label': '12R-5', 'order': 12, 'powers': [42, 24, 138], 'representative': 267, 'size': 37}
-
id: 108909327
{'aut_label': '12S1', 'centralizer': '37.a1', 'counter': 139, 'group_counter': 1, 'group_order': 15984, 'label': '12S1', 'order': 12, 'powers': [43, 17, 139], 'representative': 3, 'size': 37}
-
id: 108909329
{'aut_label': '12S-1', 'centralizer': '37.a1', 'counter': 140, 'group_counter': 1, 'group_order': 15984, 'label': '12S-1', 'order': 12, 'powers': [44, 18, 140], 'representative': 33, 'size': 37}
-
id: 108909330
{'aut_label': '12S5', 'centralizer': '37.a1', 'counter': 141, 'group_counter': 1, 'group_order': 15984, 'label': '12S5', 'order': 12, 'powers': [44, 17, 141], 'representative': 15, 'size': 37}
-
id: 108909331
{'aut_label': '12S-5', 'centralizer': '37.a1', 'counter': 142, 'group_counter': 1, 'group_order': 15984, 'label': '12S-5', 'order': 12, 'powers': [43, 18, 142], 'representative': 21, 'size': 37}
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id: 108909332
{'aut_label': '12T1', 'centralizer': '37.a1', 'counter': 143, 'group_counter': 1, 'group_order': 15984, 'label': '12T1', 'order': 12, 'powers': [45, 14, 143], 'representative': 10056, 'size': 37}
-
id: 108909333
{'aut_label': '12T-1', 'centralizer': '37.a1', 'counter': 144, 'group_counter': 1, 'group_order': 15984, 'label': '12T-1', 'order': 12, 'powers': [46, 13, 144], 'representative': 14604, 'size': 37}
-
id: 108909334
{'aut_label': '12T-1', 'centralizer': '37.a1', 'counter': 145, 'group_counter': 1, 'group_order': 15984, 'label': '12T5', 'order': 12, 'powers': [46, 14, 145], 'representative': 6612, 'size': 37}
-
id: 108909335
{'aut_label': '12T1', 'centralizer': '37.a1', 'counter': 146, 'group_counter': 1, 'group_order': 15984, 'label': '12T-5', 'order': 12, 'powers': [45, 13, 146], 'representative': 2064, 'size': 37}
-
id: 108909336
{'aut_label': '12U1', 'centralizer': '37.a1', 'counter': 147, 'group_counter': 1, 'group_order': 15984, 'label': '12U1', 'order': 12, 'powers': [46, 16, 147], 'representative': 5298, 'size': 37}
-
id: 108909337
{'aut_label': '12U-1', 'centralizer': '37.a1', 'counter': 148, 'group_counter': 1, 'group_order': 15984, 'label': '12U-1', 'order': 12, 'powers': [45, 15, 148], 'representative': 8994, 'size': 37}
-
id: 108909338
{'aut_label': '12U-1', 'centralizer': '37.a1', 'counter': 149, 'group_counter': 1, 'group_order': 15984, 'label': '12U5', 'order': 12, 'powers': [45, 16, 149], 'representative': 1002, 'size': 37}
-
id: 108909340
{'aut_label': '12U1', 'centralizer': '37.a1', 'counter': 150, 'group_counter': 1, 'group_order': 15984, 'label': '12U-5', 'order': 12, 'powers': [46, 15, 150], 'representative': 13290, 'size': 37}
-
id: 108909341
{'aut_label': '12S1', 'centralizer': '37.a1', 'counter': 151, 'group_counter': 1, 'group_order': 15984, 'label': '12V1', 'order': 12, 'powers': [43, 19, 151], 'representative': 11451, 'size': 37}
-
id: 108909342
{'aut_label': '12S-1', 'centralizer': '37.a1', 'counter': 152, 'group_counter': 1, 'group_order': 15984, 'label': '12V-1', 'order': 12, 'powers': [44, 20, 152], 'representative': 12345, 'size': 37}
-
id: 108909343
{'aut_label': '12S5', 'centralizer': '37.a1', 'counter': 153, 'group_counter': 1, 'group_order': 15984, 'label': '12V5', 'order': 12, 'powers': [44, 19, 153], 'representative': 9303, 'size': 37}
-
id: 108909344
{'aut_label': '12S-5', 'centralizer': '37.a1', 'counter': 154, 'group_counter': 1, 'group_order': 15984, 'label': '12V-5', 'order': 12, 'powers': [43, 20, 154], 'representative': 10173, 'size': 37}
-
id: 108909345
{'aut_label': '12S1', 'centralizer': '37.a1', 'counter': 155, 'group_counter': 1, 'group_order': 15984, 'label': '12W1', 'order': 12, 'powers': [47, 24, 155], 'representative': 5727, 'size': 37}
-
id: 108909346
{'aut_label': '12S-1', 'centralizer': '37.a1', 'counter': 156, 'group_counter': 1, 'group_order': 15984, 'label': '12W-1', 'order': 12, 'powers': [48, 23, 156], 'representative': 14181, 'size': 37}
-
id: 108909347
{'aut_label': '12S5', 'centralizer': '37.a1', 'counter': 157, 'group_counter': 1, 'group_order': 15984, 'label': '12W5', 'order': 12, 'powers': [48, 24, 157], 'representative': 12651, 'size': 37}
-
id: 108909348
{'aut_label': '12S-5', 'centralizer': '37.a1', 'counter': 158, 'group_counter': 1, 'group_order': 15984, 'label': '12W-5', 'order': 12, 'powers': [47, 23, 158], 'representative': 5097, 'size': 37}
-
id: 108909349
{'aut_label': '12S1', 'centralizer': '37.a1', 'counter': 159, 'group_counter': 1, 'group_order': 15984, 'label': '12X1', 'order': 12, 'powers': [47, 21, 159], 'representative': 1191, 'size': 37}
-
id: 108909351
{'aut_label': '12S-1', 'centralizer': '37.a1', 'counter': 160, 'group_counter': 1, 'group_order': 15984, 'label': '12X-1', 'order': 12, 'powers': [48, 22, 160], 'representative': 10509, 'size': 37}
-
id: 108909352
{'aut_label': '12S5', 'centralizer': '37.a1', 'counter': 161, 'group_counter': 1, 'group_order': 15984, 'label': '12X5', 'order': 12, 'powers': [48, 21, 161], 'representative': 5955, 'size': 37}
-
id: 108909353
{'aut_label': '12S-5', 'centralizer': '37.a1', 'counter': 162, 'group_counter': 1, 'group_order': 15984, 'label': '12X-5', 'order': 12, 'powers': [47, 22, 162], 'representative': 15249, 'size': 37}
-
id: 108909354
{'aut_label': '18A1', 'centralizer': '37.a1', 'counter': 163, 'group_counter': 1, 'group_order': 15984, 'label': '18A1', 'order': 18, 'powers': [49, 43, 163], 'representative': 2, 'size': 37}
-
id: 108909355
{'aut_label': '18A-1', 'centralizer': '37.a1', 'counter': 164, 'group_counter': 1, 'group_order': 15984, 'label': '18A-1', 'order': 18, 'powers': [50, 44, 164], 'representative': 34, 'size': 37}
-
id: 108909356
{'aut_label': '18A5', 'centralizer': '37.a1', 'counter': 165, 'group_counter': 1, 'group_order': 15984, 'label': '18A5', 'order': 18, 'powers': [54, 44, 165], 'representative': 10, 'size': 37}
-
id: 108909357
{'aut_label': '18A-5', 'centralizer': '37.a1', 'counter': 166, 'group_counter': 1, 'group_order': 15984, 'label': '18A-5', 'order': 18, 'powers': [53, 43, 166], 'representative': 26, 'size': 37}
-
id: 108909358
{'aut_label': '18A7', 'centralizer': '37.a1', 'counter': 167, 'group_counter': 1, 'group_order': 15984, 'label': '18A7', 'order': 18, 'powers': [52, 43, 167], 'representative': 14, 'size': 37}
-
id: 108909359
{'aut_label': '18A-7', 'centralizer': '37.a1', 'counter': 168, 'group_counter': 1, 'group_order': 15984, 'label': '18A-7', 'order': 18, 'powers': [51, 44, 168], 'representative': 22, 'size': 37}
-
id: 108909360
{'aut_label': '18B1', 'centralizer': '37.a1', 'counter': 169, 'group_counter': 1, 'group_order': 15984, 'label': '18B1', 'order': 18, 'powers': [55, 45, 169], 'representative': 8288, 'size': 37}
-
id: 108909362
{'aut_label': '18B-1', 'centralizer': '37.a1', 'counter': 170, 'group_counter': 1, 'group_order': 15984, 'label': '18B-1', 'order': 18, 'powers': [56, 46, 170], 'representative': 14212, 'size': 37}
-
id: 108909363
{'aut_label': '18B5', 'centralizer': '37.a1', 'counter': 171, 'group_counter': 1, 'group_order': 15984, 'label': '18B5', 'order': 18, 'powers': [60, 46, 171], 'representative': 12028, 'size': 37}
-
id: 108909364
{'aut_label': '18B-5', 'centralizer': '37.a1', 'counter': 172, 'group_counter': 1, 'group_order': 15984, 'label': '18B-5', 'order': 18, 'powers': [59, 45, 172], 'representative': 7448, 'size': 37}
-
id: 108909365
{'aut_label': '18B7', 'centralizer': '37.a1', 'counter': 173, 'group_counter': 1, 'group_order': 15984, 'label': '18B7', 'order': 18, 'powers': [58, 45, 173], 'representative': 956, 'size': 37}
-
id: 108909366
{'aut_label': '18B-7', 'centralizer': '37.a1', 'counter': 174, 'group_counter': 1, 'group_order': 15984, 'label': '18B-7', 'order': 18, 'powers': [57, 46, 174], 'representative': 6424, 'size': 37}
-
id: 108909367
{'aut_label': '18B5', 'centralizer': '37.a1', 'counter': 175, 'group_counter': 1, 'group_order': 15984, 'label': '18C1', 'order': 18, 'powers': [61, 46, 175], 'representative': 13036, 'size': 37}
-
id: 108909368
{'aut_label': '18B-5', 'centralizer': '37.a1', 'counter': 176, 'group_counter': 1, 'group_order': 15984, 'label': '18C-1', 'order': 18, 'powers': [62, 45, 176], 'representative': 7304, 'size': 37}
-
id: 108909369
{'aut_label': '18B7', 'centralizer': '37.a1', 'counter': 177, 'group_counter': 1, 'group_order': 15984, 'label': '18C5', 'order': 18, 'powers': [66, 45, 177], 'representative': 11180, 'size': 37}
-
id: 108909370
{'aut_label': '18B-7', 'centralizer': '37.a1', 'counter': 178, 'group_counter': 1, 'group_order': 15984, 'label': '18C-5', 'order': 18, 'powers': [65, 46, 178], 'representative': 10024, 'size': 37}
-
id: 108909371
{'aut_label': '18B-1', 'centralizer': '37.a1', 'counter': 179, 'group_counter': 1, 'group_order': 15984, 'label': '18C7', 'order': 18, 'powers': [64, 46, 179], 'representative': 11764, 'size': 37}
-
id: 108909373
{'aut_label': '18B1', 'centralizer': '37.a1', 'counter': 180, 'group_counter': 1, 'group_order': 15984, 'label': '18C-7', 'order': 18, 'powers': [63, 45, 180], 'representative': 368, 'size': 37}
-
id: 108909374
{'aut_label': '18A1', 'centralizer': '37.a1', 'counter': 181, 'group_counter': 1, 'group_order': 15984, 'label': '18D1', 'order': 18, 'powers': [58, 43, 181], 'representative': 2882, 'size': 37}
-
id: 108909375
{'aut_label': '18A-1', 'centralizer': '37.a1', 'counter': 182, 'group_counter': 1, 'group_order': 15984, 'label': '18D-1', 'order': 18, 'powers': [57, 44, 182], 'representative': 4498, 'size': 37}
-
id: 108909376
{'aut_label': '18A5', 'centralizer': '37.a1', 'counter': 183, 'group_counter': 1, 'group_order': 15984, 'label': '18D5', 'order': 18, 'powers': [56, 44, 183], 'representative': 10090, 'size': 37}
-
id: 108909377
{'aut_label': '18A-5', 'centralizer': '37.a1', 'counter': 184, 'group_counter': 1, 'group_order': 15984, 'label': '18D-5', 'order': 18, 'powers': [55, 43, 184], 'representative': 3770, 'size': 37}
-
id: 108909378
{'aut_label': '18A7', 'centralizer': '37.a1', 'counter': 185, 'group_counter': 1, 'group_order': 15984, 'label': '18D7', 'order': 18, 'powers': [59, 43, 185], 'representative': 10238, 'size': 37}
-
id: 108909379
{'aut_label': '18A-7', 'centralizer': '37.a1', 'counter': 186, 'group_counter': 1, 'group_order': 15984, 'label': '18D-7', 'order': 18, 'powers': [60, 44, 186], 'representative': 2326, 'size': 37}
-
id: 108909380
{'aut_label': '18A1', 'centralizer': '37.a1', 'counter': 187, 'group_counter': 1, 'group_order': 15984, 'label': '18E1', 'order': 18, 'powers': [66, 43, 187], 'representative': 1442, 'size': 37}
-
id: 108909381
{'aut_label': '18A-1', 'centralizer': '37.a1', 'counter': 188, 'group_counter': 1, 'group_order': 15984, 'label': '18E-1', 'order': 18, 'powers': [65, 44, 188], 'representative': 10258, 'size': 37}
-
id: 108909382
{'aut_label': '18A5', 'centralizer': '37.a1', 'counter': 189, 'group_counter': 1, 'group_order': 15984, 'label': '18E5', 'order': 18, 'powers': [64, 44, 189], 'representative': 5050, 'size': 37}
-
id: 108909384
{'aut_label': '18A-5', 'centralizer': '37.a1', 'counter': 190, 'group_counter': 1, 'group_order': 15984, 'label': '18E-5', 'order': 18, 'powers': [63, 43, 190], 'representative': 1898, 'size': 37}
-
id: 108909385
{'aut_label': '18A7', 'centralizer': '37.a1', 'counter': 191, 'group_counter': 1, 'group_order': 15984, 'label': '18E7', 'order': 18, 'powers': [62, 43, 191], 'representative': 13118, 'size': 37}
-
id: 108909386
{'aut_label': '18A-7', 'centralizer': '37.a1', 'counter': 192, 'group_counter': 1, 'group_order': 15984, 'label': '18E-7', 'order': 18, 'powers': [61, 44, 192], 'representative': 1174, 'size': 37}
-
id: 108909387
{'aut_label': '18A1', 'centralizer': '37.a1', 'counter': 193, 'group_counter': 1, 'group_order': 15984, 'label': '18F1', 'order': 18, 'powers': [58, 47, 193], 'representative': 8714, 'size': 37}
-
id: 108909388
{'aut_label': '18A-1', 'centralizer': '37.a1', 'counter': 194, 'group_counter': 1, 'group_order': 15984, 'label': '18F-1', 'order': 18, 'powers': [57, 48, 194], 'representative': 5146, 'size': 37}
-
id: 108909389
{'aut_label': '18A5', 'centralizer': '37.a1', 'counter': 195, 'group_counter': 1, 'group_order': 15984, 'label': '18F5', 'order': 18, 'powers': [56, 48, 195], 'representative': 2530, 'size': 37}
-
id: 108909390
{'aut_label': '18A-5', 'centralizer': '37.a1', 'counter': 196, 'group_counter': 1, 'group_order': 15984, 'label': '18F-5', 'order': 18, 'powers': [55, 47, 196], 'representative': 962, 'size': 37}
-
id: 108909391
{'aut_label': '18A7', 'centralizer': '37.a1', 'counter': 197, 'group_counter': 1, 'group_order': 15984, 'label': '18F7', 'order': 18, 'powers': [59, 47, 197], 'representative': 6566, 'size': 37}
-
id: 108909392
{'aut_label': '18A-7', 'centralizer': '37.a1', 'counter': 198, 'group_counter': 1, 'group_order': 15984, 'label': '18F-7', 'order': 18, 'powers': [60, 48, 198], 'representative': 8590, 'size': 37}
-
id: 108909393
{'aut_label': '18B1', 'centralizer': '37.a1', 'counter': 199, 'group_counter': 1, 'group_order': 15984, 'label': '18G1', 'order': 18, 'powers': [53, 45, 199], 'representative': 8864, 'size': 37}
-
id: 108909396
{'aut_label': '18B-1', 'centralizer': '37.a1', 'counter': 200, 'group_counter': 1, 'group_order': 15984, 'label': '18G-1', 'order': 18, 'powers': [54, 46, 200], 'representative': 10612, 'size': 37}
-
id: 108909397
{'aut_label': '18B5', 'centralizer': '37.a1', 'counter': 201, 'group_counter': 1, 'group_order': 15984, 'label': '18G5', 'order': 18, 'powers': [51, 46, 201], 'representative': 4108, 'size': 37}
-
id: 108909398
{'aut_label': '18B-5', 'centralizer': '37.a1', 'counter': 202, 'group_counter': 1, 'group_order': 15984, 'label': '18G-5', 'order': 18, 'powers': [52, 45, 202], 'representative': 6296, 'size': 37}
-
id: 108909399
{'aut_label': '18B7', 'centralizer': '37.a1', 'counter': 203, 'group_counter': 1, 'group_order': 15984, 'label': '18G7', 'order': 18, 'powers': [49, 45, 203], 'representative': 2828, 'size': 37}
-
id: 108909400
{'aut_label': '18B-7', 'centralizer': '37.a1', 'counter': 204, 'group_counter': 1, 'group_order': 15984, 'label': '18G-7', 'order': 18, 'powers': [50, 46, 204], 'representative': 3256, 'size': 37}
-
id: 108909401
{'aut_label': '18A1', 'centralizer': '37.a1', 'counter': 205, 'group_counter': 1, 'group_order': 15984, 'label': '18H1', 'order': 18, 'powers': [66, 47, 205], 'representative': 11594, 'size': 37}
-
id: 108909402
{'aut_label': '18A-1', 'centralizer': '37.a1', 'counter': 206, 'group_counter': 1, 'group_order': 15984, 'label': '18H-1', 'order': 18, 'powers': [65, 48, 206], 'representative': 9610, 'size': 37}
-
id: 108909403
{'aut_label': '18A5', 'centralizer': '37.a1', 'counter': 207, 'group_counter': 1, 'group_order': 15984, 'label': '18H5', 'order': 18, 'powers': [64, 48, 207], 'representative': 12610, 'size': 37}
-
id: 108909404
{'aut_label': '18A-5', 'centralizer': '37.a1', 'counter': 208, 'group_counter': 1, 'group_order': 15984, 'label': '18H-5', 'order': 18, 'powers': [63, 47, 208], 'representative': 4706, 'size': 37}
-
id: 108909405
{'aut_label': '18A7', 'centralizer': '37.a1', 'counter': 209, 'group_counter': 1, 'group_order': 15984, 'label': '18H7', 'order': 18, 'powers': [62, 47, 209], 'representative': 806, 'size': 37}
-
id: 108909407
{'aut_label': '18A-7', 'centralizer': '37.a1', 'counter': 210, 'group_counter': 1, 'group_order': 15984, 'label': '18H-7', 'order': 18, 'powers': [61, 48, 210], 'representative': 10894, 'size': 37}
-
id: 108909408
{'aut_label': '18A1', 'centralizer': '37.a1', 'counter': 211, 'group_counter': 1, 'group_order': 15984, 'label': '18I1', 'order': 18, 'powers': [49, 47, 211], 'representative': 10154, 'size': 37}
-
id: 108909409
{'aut_label': '18A-1', 'centralizer': '37.a1', 'counter': 212, 'group_counter': 1, 'group_order': 15984, 'label': '18I-1', 'order': 18, 'powers': [50, 48, 212], 'representative': 15370, 'size': 37}
-
id: 108909410
{'aut_label': '18A5', 'centralizer': '37.a1', 'counter': 213, 'group_counter': 1, 'group_order': 15984, 'label': '18I5', 'order': 18, 'powers': [54, 48, 213], 'representative': 7570, 'size': 37}
-
id: 108909411
{'aut_label': '18A-5', 'centralizer': '37.a1', 'counter': 214, 'group_counter': 1, 'group_order': 15984, 'label': '18I-5', 'order': 18, 'powers': [53, 47, 214], 'representative': 2834, 'size': 37}
-
id: 108909412
{'aut_label': '18A7', 'centralizer': '37.a1', 'counter': 215, 'group_counter': 1, 'group_order': 15984, 'label': '18I7', 'order': 18, 'powers': [52, 47, 215], 'representative': 3686, 'size': 37}
-
id: 108909413
{'aut_label': '18A-7', 'centralizer': '37.a1', 'counter': 216, 'group_counter': 1, 'group_order': 15984, 'label': '18I-7', 'order': 18, 'powers': [51, 48, 216], 'representative': 9742, 'size': 37}
-
id: 108909414
{'aut_label': '36A1', 'centralizer': '37.a1', 'counter': 217, 'group_counter': 1, 'group_order': 15984, 'label': '36A1', 'order': 36, 'powers': [163, 139, 217], 'representative': 1, 'size': 37}
-
id: 108909415
{'aut_label': '36A-1', 'centralizer': '37.a1', 'counter': 218, 'group_counter': 1, 'group_order': 15984, 'label': '36A-1', 'order': 36, 'powers': [164, 140, 218], 'representative': 35, 'size': 37}
-
id: 108909416
{'aut_label': '36A5', 'centralizer': '37.a1', 'counter': 219, 'group_counter': 1, 'group_order': 15984, 'label': '36A5', 'order': 36, 'powers': [165, 141, 219], 'representative': 5, 'size': 37}
-
id: 108909418
{'aut_label': '36A-5', 'centralizer': '37.a1', 'counter': 220, 'group_counter': 1, 'group_order': 15984, 'label': '36A-5', 'order': 36, 'powers': [166, 142, 220], 'representative': 31, 'size': 37}
-
id: 108909419
{'aut_label': '36A7', 'centralizer': '37.a1', 'counter': 221, 'group_counter': 1, 'group_order': 15984, 'label': '36A7', 'order': 36, 'powers': [167, 142, 221], 'representative': 7, 'size': 37}
-
id: 108909420
{'aut_label': '36A-7', 'centralizer': '37.a1', 'counter': 222, 'group_counter': 1, 'group_order': 15984, 'label': '36A-7', 'order': 36, 'powers': [168, 141, 222], 'representative': 29, 'size': 37}
-
id: 108909421
{'aut_label': '36A11', 'centralizer': '37.a1', 'counter': 223, 'group_counter': 1, 'group_order': 15984, 'label': '36A11', 'order': 36, 'powers': [168, 140, 223], 'representative': 11, 'size': 37}
-
id: 108909422
{'aut_label': '36A-11', 'centralizer': '37.a1', 'counter': 224, 'group_counter': 1, 'group_order': 15984, 'label': '36A-11', 'order': 36, 'powers': [167, 139, 224], 'representative': 25, 'size': 37}
-
id: 108909423
{'aut_label': '36A13', 'centralizer': '37.a1', 'counter': 225, 'group_counter': 1, 'group_order': 15984, 'label': '36A13', 'order': 36, 'powers': [166, 139, 225], 'representative': 13, 'size': 37}
-
id: 108909424
{'aut_label': '36A-13', 'centralizer': '37.a1', 'counter': 226, 'group_counter': 1, 'group_order': 15984, 'label': '36A-13', 'order': 36, 'powers': [165, 140, 226], 'representative': 23, 'size': 37}
-
id: 108909425
{'aut_label': '36A17', 'centralizer': '37.a1', 'counter': 227, 'group_counter': 1, 'group_order': 15984, 'label': '36A17', 'order': 36, 'powers': [164, 141, 227], 'representative': 17, 'size': 37}
-
id: 108909426
{'aut_label': '36A-17', 'centralizer': '37.a1', 'counter': 228, 'group_counter': 1, 'group_order': 15984, 'label': '36A-17', 'order': 36, 'powers': [163, 142, 228], 'representative': 19, 'size': 37}
-
id: 108909427
{'aut_label': '36B1', 'centralizer': '37.a1', 'counter': 229, 'group_counter': 1, 'group_order': 15984, 'label': '36B1', 'order': 36, 'powers': [169, 143, 229], 'representative': 40, 'size': 37}
-
id: 108909429
{'aut_label': '36B-1', 'centralizer': '37.a1', 'counter': 230, 'group_counter': 1, 'group_order': 15984, 'label': '36B-1', 'order': 36, 'powers': [170, 144, 230], 'representative': 428, 'size': 37}
-
id: 108909430
{'aut_label': '36B5', 'centralizer': '37.a1', 'counter': 231, 'group_counter': 1, 'group_order': 15984, 'label': '36B5', 'order': 36, 'powers': [171, 145, 231], 'representative': 200, 'size': 37}
-
id: 108909431
{'aut_label': '36B-5', 'centralizer': '37.a1', 'counter': 232, 'group_counter': 1, 'group_order': 15984, 'label': '36B-5', 'order': 36, 'powers': [172, 146, 232], 'representative': 268, 'size': 37}
-
id: 108909432
{'aut_label': '36B7', 'centralizer': '37.a1', 'counter': 233, 'group_counter': 1, 'group_order': 15984, 'label': '36B7', 'order': 36, 'powers': [173, 146, 233], 'representative': 280, 'size': 37}
-
id: 108909433
{'aut_label': '36B-7', 'centralizer': '37.a1', 'counter': 234, 'group_counter': 1, 'group_order': 15984, 'label': '36B-7', 'order': 36, 'powers': [174, 145, 234], 'representative': 188, 'size': 37}
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id: 108909434
{'aut_label': '36B-7', 'centralizer': '37.a1', 'counter': 235, 'group_counter': 1, 'group_order': 15984, 'label': '36B11', 'order': 36, 'powers': [174, 144, 235], 'representative': 404, 'size': 37}
-
id: 108909435
{'aut_label': '36B7', 'centralizer': '37.a1', 'counter': 236, 'group_counter': 1, 'group_order': 15984, 'label': '36B-11', 'order': 36, 'powers': [173, 143, 236], 'representative': 64, 'size': 37}
-
id: 108909436
{'aut_label': '36B-5', 'centralizer': '37.a1', 'counter': 237, 'group_counter': 1, 'group_order': 15984, 'label': '36B13', 'order': 36, 'powers': [172, 143, 237], 'representative': 52, 'size': 37}
-
id: 108909437
{'aut_label': '36B5', 'centralizer': '37.a1', 'counter': 238, 'group_counter': 1, 'group_order': 15984, 'label': '36B-13', 'order': 36, 'powers': [171, 144, 238], 'representative': 416, 'size': 37}
-
id: 108909438
{'aut_label': '36B-1', 'centralizer': '37.a1', 'counter': 239, 'group_counter': 1, 'group_order': 15984, 'label': '36B17', 'order': 36, 'powers': [170, 145, 239], 'representative': 212, 'size': 37}
-
id: 108909440
{'aut_label': '36B1', 'centralizer': '37.a1', 'counter': 240, 'group_counter': 1, 'group_order': 15984, 'label': '36B-17', 'order': 36, 'powers': [169, 146, 240], 'representative': 256, 'size': 37}
-
id: 108909441
{'aut_label': '36C1', 'centralizer': '37.a1', 'counter': 241, 'group_counter': 1, 'group_order': 15984, 'label': '36C1', 'order': 36, 'powers': [175, 147, 241], 'representative': 38, 'size': 37}
-
id: 108909442
{'aut_label': '36C-1', 'centralizer': '37.a1', 'counter': 242, 'group_counter': 1, 'group_order': 15984, 'label': '36C-1', 'order': 36, 'powers': [176, 148, 242], 'representative': 430, 'size': 37}
-
id: 108909443
{'aut_label': '36C5', 'centralizer': '37.a1', 'counter': 243, 'group_counter': 1, 'group_order': 15984, 'label': '36C5', 'order': 36, 'powers': [177, 149, 243], 'representative': 190, 'size': 37}
-
id: 108909444
{'aut_label': '36C-5', 'centralizer': '37.a1', 'counter': 244, 'group_counter': 1, 'group_order': 15984, 'label': '36C-5', 'order': 36, 'powers': [178, 150, 244], 'representative': 278, 'size': 37}
-
id: 108909445
{'aut_label': '36C7', 'centralizer': '37.a1', 'counter': 245, 'group_counter': 1, 'group_order': 15984, 'label': '36C7', 'order': 36, 'powers': [179, 150, 245], 'representative': 266, 'size': 37}
-
id: 108909446
{'aut_label': '36C-7', 'centralizer': '37.a1', 'counter': 246, 'group_counter': 1, 'group_order': 15984, 'label': '36C-7', 'order': 36, 'powers': [180, 149, 246], 'representative': 202, 'size': 37}
-
id: 108909447
{'aut_label': '36C-7', 'centralizer': '37.a1', 'counter': 247, 'group_counter': 1, 'group_order': 15984, 'label': '36C11', 'order': 36, 'powers': [180, 148, 247], 'representative': 418, 'size': 37}
-
id: 108909448
{'aut_label': '36C7', 'centralizer': '37.a1', 'counter': 248, 'group_counter': 1, 'group_order': 15984, 'label': '36C-11', 'order': 36, 'powers': [179, 147, 248], 'representative': 50, 'size': 37}
-
id: 108909449
{'aut_label': '36C-5', 'centralizer': '37.a1', 'counter': 249, 'group_counter': 1, 'group_order': 15984, 'label': '36C13', 'order': 36, 'powers': [178, 147, 249], 'representative': 62, 'size': 37}
-
id: 108909451
{'aut_label': '36C5', 'centralizer': '37.a1', 'counter': 250, 'group_counter': 1, 'group_order': 15984, 'label': '36C-13', 'order': 36, 'powers': [177, 148, 250], 'representative': 406, 'size': 37}
-
id: 108909452
{'aut_label': '36C-1', 'centralizer': '37.a1', 'counter': 251, 'group_counter': 1, 'group_order': 15984, 'label': '36C17', 'order': 36, 'powers': [176, 149, 251], 'representative': 214, 'size': 37}
-
id: 108909453
{'aut_label': '36C1', 'centralizer': '37.a1', 'counter': 252, 'group_counter': 1, 'group_order': 15984, 'label': '36C-17', 'order': 36, 'powers': [175, 150, 252], 'representative': 254, 'size': 37}
-
id: 108909454
{'aut_label': '36A1', 'centralizer': '37.a1', 'counter': 253, 'group_counter': 1, 'group_order': 15984, 'label': '36D1', 'order': 36, 'powers': [181, 139, 253], 'representative': 145, 'size': 37}
-
id: 108909455
{'aut_label': '36A-1', 'centralizer': '37.a1', 'counter': 254, 'group_counter': 1, 'group_order': 15984, 'label': '36D-1', 'order': 36, 'powers': [182, 140, 254], 'representative': 323, 'size': 37}
-
id: 108909456
{'aut_label': '36A5', 'centralizer': '37.a1', 'counter': 255, 'group_counter': 1, 'group_order': 15984, 'label': '36D5', 'order': 36, 'powers': [183, 141, 255], 'representative': 293, 'size': 37}
-
id: 108909457
{'aut_label': '36A-5', 'centralizer': '37.a1', 'counter': 256, 'group_counter': 1, 'group_order': 15984, 'label': '36D-5', 'order': 36, 'powers': [184, 142, 256], 'representative': 175, 'size': 37}
-
id: 108909458
{'aut_label': '36A7', 'centralizer': '37.a1', 'counter': 257, 'group_counter': 1, 'group_order': 15984, 'label': '36D7', 'order': 36, 'powers': [185, 142, 257], 'representative': 151, 'size': 37}
-
id: 108909459
{'aut_label': '36A-7', 'centralizer': '37.a1', 'counter': 258, 'group_counter': 1, 'group_order': 15984, 'label': '36D-7', 'order': 36, 'powers': [186, 141, 258], 'representative': 317, 'size': 37}
-
id: 108909460
{'aut_label': '36A11', 'centralizer': '37.a1', 'counter': 259, 'group_counter': 1, 'group_order': 15984, 'label': '36D11', 'order': 36, 'powers': [186, 140, 259], 'representative': 299, 'size': 37}
-
id: 108909462
{'aut_label': '36A-11', 'centralizer': '37.a1', 'counter': 260, 'group_counter': 1, 'group_order': 15984, 'label': '36D-11', 'order': 36, 'powers': [185, 139, 260], 'representative': 169, 'size': 37}
-
id: 108909463
{'aut_label': '36A13', 'centralizer': '37.a1', 'counter': 261, 'group_counter': 1, 'group_order': 15984, 'label': '36D13', 'order': 36, 'powers': [184, 139, 261], 'representative': 157, 'size': 37}
-
id: 108909464
{'aut_label': '36A-13', 'centralizer': '37.a1', 'counter': 262, 'group_counter': 1, 'group_order': 15984, 'label': '36D-13', 'order': 36, 'powers': [183, 140, 262], 'representative': 311, 'size': 37}
-
id: 108909465
{'aut_label': '36A17', 'centralizer': '37.a1', 'counter': 263, 'group_counter': 1, 'group_order': 15984, 'label': '36D17', 'order': 36, 'powers': [182, 141, 263], 'representative': 305, 'size': 37}
-
id: 108909466
{'aut_label': '36A-17', 'centralizer': '37.a1', 'counter': 264, 'group_counter': 1, 'group_order': 15984, 'label': '36D-17', 'order': 36, 'powers': [181, 142, 264], 'representative': 163, 'size': 37}
-
id: 108909467
{'aut_label': '36A1', 'centralizer': '37.a1', 'counter': 265, 'group_counter': 1, 'group_order': 15984, 'label': '36E1', 'order': 36, 'powers': [187, 151, 265], 'representative': 73, 'size': 37}
-
id: 108909468
{'aut_label': '36A-1', 'centralizer': '37.a1', 'counter': 266, 'group_counter': 1, 'group_order': 15984, 'label': '36E-1', 'order': 36, 'powers': [188, 152, 266], 'representative': 395, 'size': 37}
-
id: 108909469
{'aut_label': '36A5', 'centralizer': '37.a1', 'counter': 267, 'group_counter': 1, 'group_order': 15984, 'label': '36E5', 'order': 36, 'powers': [189, 153, 267], 'representative': 365, 'size': 37}
-
id: 108909470
{'aut_label': '36A-5', 'centralizer': '37.a1', 'counter': 268, 'group_counter': 1, 'group_order': 15984, 'label': '36E-5', 'order': 36, 'powers': [190, 154, 268], 'representative': 103, 'size': 37}
-
id: 108909471
{'aut_label': '36A7', 'centralizer': '37.a1', 'counter': 269, 'group_counter': 1, 'group_order': 15984, 'label': '36E7', 'order': 36, 'powers': [191, 154, 269], 'representative': 79, 'size': 37}
-
id: 108909473
{'aut_label': '36A-7', 'centralizer': '37.a1', 'counter': 270, 'group_counter': 1, 'group_order': 15984, 'label': '36E-7', 'order': 36, 'powers': [192, 153, 270], 'representative': 389, 'size': 37}
-
id: 108909474
{'aut_label': '36A11', 'centralizer': '37.a1', 'counter': 271, 'group_counter': 1, 'group_order': 15984, 'label': '36E11', 'order': 36, 'powers': [192, 152, 271], 'representative': 371, 'size': 37}
-
id: 108909475
{'aut_label': '36A-11', 'centralizer': '37.a1', 'counter': 272, 'group_counter': 1, 'group_order': 15984, 'label': '36E-11', 'order': 36, 'powers': [191, 151, 272], 'representative': 97, 'size': 37}
-
id: 108909476
{'aut_label': '36A13', 'centralizer': '37.a1', 'counter': 273, 'group_counter': 1, 'group_order': 15984, 'label': '36E13', 'order': 36, 'powers': [190, 151, 273], 'representative': 85, 'size': 37}
-
id: 108909477
{'aut_label': '36A-13', 'centralizer': '37.a1', 'counter': 274, 'group_counter': 1, 'group_order': 15984, 'label': '36E-13', 'order': 36, 'powers': [189, 152, 274], 'representative': 383, 'size': 37}
-
id: 108909478
{'aut_label': '36A17', 'centralizer': '37.a1', 'counter': 275, 'group_counter': 1, 'group_order': 15984, 'label': '36E17', 'order': 36, 'powers': [188, 153, 275], 'representative': 377, 'size': 37}
-
id: 108909479
{'aut_label': '36A-17', 'centralizer': '37.a1', 'counter': 276, 'group_counter': 1, 'group_order': 15984, 'label': '36E-17', 'order': 36, 'powers': [187, 154, 276], 'representative': 91, 'size': 37}
-
id: 108909480
{'aut_label': '36A1', 'centralizer': '37.a1', 'counter': 277, 'group_counter': 1, 'group_order': 15984, 'label': '36F1', 'order': 36, 'powers': [193, 155, 277], 'representative': 37, 'size': 37}
-
id: 108909481
{'aut_label': '36A-1', 'centralizer': '37.a1', 'counter': 278, 'group_counter': 1, 'group_order': 15984, 'label': '36F-1', 'order': 36, 'powers': [194, 156, 278], 'representative': 431, 'size': 37}
-
id: 108909482
{'aut_label': '36A5', 'centralizer': '37.a1', 'counter': 279, 'group_counter': 1, 'group_order': 15984, 'label': '36F5', 'order': 36, 'powers': [195, 157, 279], 'representative': 185, 'size': 37}
-
id: 108909484
{'aut_label': '36A-5', 'centralizer': '37.a1', 'counter': 280, 'group_counter': 1, 'group_order': 15984, 'label': '36F-5', 'order': 36, 'powers': [196, 158, 280], 'representative': 283, 'size': 37}
-
id: 108909485
{'aut_label': '36A7', 'centralizer': '37.a1', 'counter': 281, 'group_counter': 1, 'group_order': 15984, 'label': '36F7', 'order': 36, 'powers': [197, 158, 281], 'representative': 259, 'size': 37}
-
id: 108909486
{'aut_label': '36A-7', 'centralizer': '37.a1', 'counter': 282, 'group_counter': 1, 'group_order': 15984, 'label': '36F-7', 'order': 36, 'powers': [198, 157, 282], 'representative': 209, 'size': 37}
-
id: 108909487
{'aut_label': '36A11', 'centralizer': '37.a1', 'counter': 283, 'group_counter': 1, 'group_order': 15984, 'label': '36F11', 'order': 36, 'powers': [198, 156, 283], 'representative': 407, 'size': 37}
-
id: 108909488
{'aut_label': '36A-11', 'centralizer': '37.a1', 'counter': 284, 'group_counter': 1, 'group_order': 15984, 'label': '36F-11', 'order': 36, 'powers': [197, 155, 284], 'representative': 61, 'size': 37}
-
id: 108909489
{'aut_label': '36A13', 'centralizer': '37.a1', 'counter': 285, 'group_counter': 1, 'group_order': 15984, 'label': '36F13', 'order': 36, 'powers': [196, 155, 285], 'representative': 49, 'size': 37}
-
id: 108909490
{'aut_label': '36A-13', 'centralizer': '37.a1', 'counter': 286, 'group_counter': 1, 'group_order': 15984, 'label': '36F-13', 'order': 36, 'powers': [195, 156, 286], 'representative': 419, 'size': 37}
-
id: 108909491
{'aut_label': '36A17', 'centralizer': '37.a1', 'counter': 287, 'group_counter': 1, 'group_order': 15984, 'label': '36F17', 'order': 36, 'powers': [194, 157, 287], 'representative': 197, 'size': 37}
-
id: 108909492
{'aut_label': '36A-17', 'centralizer': '37.a1', 'counter': 288, 'group_counter': 1, 'group_order': 15984, 'label': '36F-17', 'order': 36, 'powers': [193, 158, 288], 'representative': 271, 'size': 37}
-
id: 108909493
{'aut_label': '36B-7', 'centralizer': '37.a1', 'counter': 289, 'group_counter': 1, 'group_order': 15984, 'label': '36G1', 'order': 36, 'powers': [178, 145, 289], 'representative': 44, 'size': 37}
-
id: 108909495
{'aut_label': '36B7', 'centralizer': '37.a1', 'counter': 290, 'group_counter': 1, 'group_order': 15984, 'label': '36G-1', 'order': 36, 'powers': [177, 146, 290], 'representative': 424, 'size': 37}
-
id: 108909496
{'aut_label': '36B1', 'centralizer': '37.a1', 'counter': 291, 'group_counter': 1, 'group_order': 15984, 'label': '36G5', 'order': 36, 'powers': [180, 143, 291], 'representative': 184, 'size': 37}
-
id: 108909497
{'aut_label': '36B-1', 'centralizer': '37.a1', 'counter': 292, 'group_counter': 1, 'group_order': 15984, 'label': '36G-5', 'order': 36, 'powers': [179, 144, 292], 'representative': 284, 'size': 37}
-
id: 108909498
{'aut_label': '36B5', 'centralizer': '37.a1', 'counter': 293, 'group_counter': 1, 'group_order': 15984, 'label': '36G7', 'order': 36, 'powers': [175, 144, 293], 'representative': 272, 'size': 37}
-
id: 108909499
{'aut_label': '36B-5', 'centralizer': '37.a1', 'counter': 294, 'group_counter': 1, 'group_order': 15984, 'label': '36G-7', 'order': 36, 'powers': [176, 143, 294], 'representative': 196, 'size': 37}
-
id: 108909500
{'aut_label': '36B-5', 'centralizer': '37.a1', 'counter': 295, 'group_counter': 1, 'group_order': 15984, 'label': '36G11', 'order': 36, 'powers': [176, 146, 295], 'representative': 412, 'size': 37}
-
id: 108909501
{'aut_label': '36B5', 'centralizer': '37.a1', 'counter': 296, 'group_counter': 1, 'group_order': 15984, 'label': '36G-11', 'order': 36, 'powers': [175, 145, 296], 'representative': 56, 'size': 37}
-
id: 108909502
{'aut_label': '36B-1', 'centralizer': '37.a1', 'counter': 297, 'group_counter': 1, 'group_order': 15984, 'label': '36G13', 'order': 36, 'powers': [179, 145, 297], 'representative': 68, 'size': 37}
-
id: 108909503
{'aut_label': '36B1', 'centralizer': '37.a1', 'counter': 298, 'group_counter': 1, 'group_order': 15984, 'label': '36G-13', 'order': 36, 'powers': [180, 146, 298], 'representative': 400, 'size': 37}
-
id: 108909504
{'aut_label': '36B7', 'centralizer': '37.a1', 'counter': 299, 'group_counter': 1, 'group_order': 15984, 'label': '36G17', 'order': 36, 'powers': [177, 143, 299], 'representative': 208, 'size': 37}
-
id: 108909507
{'aut_label': '36B-7', 'centralizer': '37.a1', 'counter': 300, 'group_counter': 1, 'group_order': 15984, 'label': '36G-17', 'order': 36, 'powers': [178, 144, 300], 'representative': 260, 'size': 37}
-
id: 108909508
{'aut_label': '36A1', 'centralizer': '37.a1', 'counter': 301, 'group_counter': 1, 'group_order': 15984, 'label': '36H1', 'order': 36, 'powers': [187, 139, 301], 'representative': 289, 'size': 37}
-
id: 108909509
{'aut_label': '36A-1', 'centralizer': '37.a1', 'counter': 302, 'group_counter': 1, 'group_order': 15984, 'label': '36H-1', 'order': 36, 'powers': [188, 140, 302], 'representative': 179, 'size': 37}
-
id: 108909510
{'aut_label': '36A5', 'centralizer': '37.a1', 'counter': 303, 'group_counter': 1, 'group_order': 15984, 'label': '36H5', 'order': 36, 'powers': [189, 141, 303], 'representative': 149, 'size': 37}
-
id: 108909511
{'aut_label': '36A-5', 'centralizer': '37.a1', 'counter': 304, 'group_counter': 1, 'group_order': 15984, 'label': '36H-5', 'order': 36, 'powers': [190, 142, 304], 'representative': 319, 'size': 37}
-
id: 108909512
{'aut_label': '36A7', 'centralizer': '37.a1', 'counter': 305, 'group_counter': 1, 'group_order': 15984, 'label': '36H7', 'order': 36, 'powers': [191, 142, 305], 'representative': 295, 'size': 37}
-
id: 108909513
{'aut_label': '36A-7', 'centralizer': '37.a1', 'counter': 306, 'group_counter': 1, 'group_order': 15984, 'label': '36H-7', 'order': 36, 'powers': [192, 141, 306], 'representative': 173, 'size': 37}
-
id: 108909514
{'aut_label': '36A11', 'centralizer': '37.a1', 'counter': 307, 'group_counter': 1, 'group_order': 15984, 'label': '36H11', 'order': 36, 'powers': [192, 140, 307], 'representative': 155, 'size': 37}
-
id: 108909515
{'aut_label': '36A-11', 'centralizer': '37.a1', 'counter': 308, 'group_counter': 1, 'group_order': 15984, 'label': '36H-11', 'order': 36, 'powers': [191, 139, 308], 'representative': 313, 'size': 37}
-
id: 108909516
{'aut_label': '36A13', 'centralizer': '37.a1', 'counter': 309, 'group_counter': 1, 'group_order': 15984, 'label': '36H13', 'order': 36, 'powers': [190, 139, 309], 'representative': 301, 'size': 37}
-
id: 108909518
{'aut_label': '36A-13', 'centralizer': '37.a1', 'counter': 310, 'group_counter': 1, 'group_order': 15984, 'label': '36H-13', 'order': 36, 'powers': [189, 140, 310], 'representative': 167, 'size': 37}
-
id: 108909519
{'aut_label': '36A17', 'centralizer': '37.a1', 'counter': 311, 'group_counter': 1, 'group_order': 15984, 'label': '36H17', 'order': 36, 'powers': [188, 141, 311], 'representative': 161, 'size': 37}
-
id: 108909520
{'aut_label': '36A-17', 'centralizer': '37.a1', 'counter': 312, 'group_counter': 1, 'group_order': 15984, 'label': '36H-17', 'order': 36, 'powers': [187, 142, 312], 'representative': 307, 'size': 37}
-
id: 108909521
{'aut_label': '36B1', 'centralizer': '37.a1', 'counter': 313, 'group_counter': 1, 'group_order': 15984, 'label': '36I1', 'order': 36, 'powers': [199, 146, 313], 'representative': 112, 'size': 37}
-
id: 108909522
{'aut_label': '36B-1', 'centralizer': '37.a1', 'counter': 314, 'group_counter': 1, 'group_order': 15984, 'label': '36I-1', 'order': 36, 'powers': [200, 145, 314], 'representative': 356, 'size': 37}
-
id: 108909523
{'aut_label': '36B5', 'centralizer': '37.a1', 'counter': 315, 'group_counter': 1, 'group_order': 15984, 'label': '36I5', 'order': 36, 'powers': [201, 144, 315], 'representative': 128, 'size': 37}
-
id: 108909524
{'aut_label': '36B-5', 'centralizer': '37.a1', 'counter': 316, 'group_counter': 1, 'group_order': 15984, 'label': '36I-5', 'order': 36, 'powers': [202, 143, 316], 'representative': 340, 'size': 37}
-
id: 108909525
{'aut_label': '36B7', 'centralizer': '37.a1', 'counter': 317, 'group_counter': 1, 'group_order': 15984, 'label': '36I7', 'order': 36, 'powers': [203, 143, 317], 'representative': 352, 'size': 37}
-
id: 108909526
{'aut_label': '36B-7', 'centralizer': '37.a1', 'counter': 318, 'group_counter': 1, 'group_order': 15984, 'label': '36I-7', 'order': 36, 'powers': [204, 144, 318], 'representative': 116, 'size': 37}
-
id: 108909527
{'aut_label': '36B-7', 'centralizer': '37.a1', 'counter': 319, 'group_counter': 1, 'group_order': 15984, 'label': '36I11', 'order': 36, 'powers': [204, 145, 319], 'representative': 332, 'size': 37}
-
id: 108909529
{'aut_label': '36B7', 'centralizer': '37.a1', 'counter': 320, 'group_counter': 1, 'group_order': 15984, 'label': '36I-11', 'order': 36, 'powers': [203, 146, 320], 'representative': 136, 'size': 37}
-
id: 108909530
{'aut_label': '36B-5', 'centralizer': '37.a1', 'counter': 321, 'group_counter': 1, 'group_order': 15984, 'label': '36I13', 'order': 36, 'powers': [202, 146, 321], 'representative': 124, 'size': 37}
-
id: 108909531
{'aut_label': '36B5', 'centralizer': '37.a1', 'counter': 322, 'group_counter': 1, 'group_order': 15984, 'label': '36I-13', 'order': 36, 'powers': [201, 145, 322], 'representative': 344, 'size': 37}
-
id: 108909532
{'aut_label': '36B-1', 'centralizer': '37.a1', 'counter': 323, 'group_counter': 1, 'group_order': 15984, 'label': '36I17', 'order': 36, 'powers': [200, 144, 323], 'representative': 140, 'size': 37}
-
id: 108909533
{'aut_label': '36B1', 'centralizer': '37.a1', 'counter': 324, 'group_counter': 1, 'group_order': 15984, 'label': '36I-17', 'order': 36, 'powers': [199, 143, 324], 'representative': 328, 'size': 37}
-
id: 108909534
{'aut_label': '36C1', 'centralizer': '37.a1', 'counter': 325, 'group_counter': 1, 'group_order': 15984, 'label': '36J1', 'order': 36, 'powers': [171, 147, 325], 'representative': 182, 'size': 37}
-
id: 108909535
{'aut_label': '36C-1', 'centralizer': '37.a1', 'counter': 326, 'group_counter': 1, 'group_order': 15984, 'label': '36J-1', 'order': 36, 'powers': [172, 148, 326], 'representative': 286, 'size': 37}
-
id: 108909536
{'aut_label': '36C5', 'centralizer': '37.a1', 'counter': 327, 'group_counter': 1, 'group_order': 15984, 'label': '36J5', 'order': 36, 'powers': [173, 149, 327], 'representative': 46, 'size': 37}
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id: 108909537
{'aut_label': '36C-5', 'centralizer': '37.a1', 'counter': 328, 'group_counter': 1, 'group_order': 15984, 'label': '36J-5', 'order': 36, 'powers': [174, 150, 328], 'representative': 422, 'size': 37}
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id: 108909538
{'aut_label': '36C7', 'centralizer': '37.a1', 'counter': 329, 'group_counter': 1, 'group_order': 15984, 'label': '36J7', 'order': 36, 'powers': [170, 150, 329], 'representative': 410, 'size': 37}
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id: 108909540
{'aut_label': '36C-7', 'centralizer': '37.a1', 'counter': 330, 'group_counter': 1, 'group_order': 15984, 'label': '36J-7', 'order': 36, 'powers': [169, 149, 330], 'representative': 58, 'size': 37}
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id: 108909541
{'aut_label': '36C-7', 'centralizer': '37.a1', 'counter': 331, 'group_counter': 1, 'group_order': 15984, 'label': '36J11', 'order': 36, 'powers': [169, 148, 331], 'representative': 274, 'size': 37}
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id: 108909542
{'aut_label': '36C7', 'centralizer': '37.a1', 'counter': 332, 'group_counter': 1, 'group_order': 15984, 'label': '36J-11', 'order': 36, 'powers': [170, 147, 332], 'representative': 194, 'size': 37}
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id: 108909543
{'aut_label': '36C-5', 'centralizer': '37.a1', 'counter': 333, 'group_counter': 1, 'group_order': 15984, 'label': '36J13', 'order': 36, 'powers': [174, 147, 333], 'representative': 206, 'size': 37}
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id: 108909544
{'aut_label': '36C5', 'centralizer': '37.a1', 'counter': 334, 'group_counter': 1, 'group_order': 15984, 'label': '36J-13', 'order': 36, 'powers': [173, 148, 334], 'representative': 262, 'size': 37}
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id: 108909545
{'aut_label': '36C-1', 'centralizer': '37.a1', 'counter': 335, 'group_counter': 1, 'group_order': 15984, 'label': '36J17', 'order': 36, 'powers': [172, 149, 335], 'representative': 70, 'size': 37}
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id: 108909546
{'aut_label': '36C1', 'centralizer': '37.a1', 'counter': 336, 'group_counter': 1, 'group_order': 15984, 'label': '36J-17', 'order': 36, 'powers': [171, 150, 336], 'representative': 398, 'size': 37}
-
id: 108909547
{'aut_label': '36C1', 'centralizer': '37.a1', 'counter': 337, 'group_counter': 1, 'group_order': 15984, 'label': '36K1', 'order': 36, 'powers': [201, 150, 337], 'representative': 110, 'size': 37}
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id: 108909548
{'aut_label': '36C-1', 'centralizer': '37.a1', 'counter': 338, 'group_counter': 1, 'group_order': 15984, 'label': '36K-1', 'order': 36, 'powers': [202, 149, 338], 'representative': 358, 'size': 37}
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id: 108909549
{'aut_label': '36C5', 'centralizer': '37.a1', 'counter': 339, 'group_counter': 1, 'group_order': 15984, 'label': '36K5', 'order': 36, 'powers': [203, 148, 339], 'representative': 118, 'size': 37}
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id: 108909551
{'aut_label': '36C-5', 'centralizer': '37.a1', 'counter': 340, 'group_counter': 1, 'group_order': 15984, 'label': '36K-5', 'order': 36, 'powers': [204, 147, 340], 'representative': 350, 'size': 37}
-
id: 108909552
{'aut_label': '36C7', 'centralizer': '37.a1', 'counter': 341, 'group_counter': 1, 'group_order': 15984, 'label': '36K7', 'order': 36, 'powers': [200, 147, 341], 'representative': 338, 'size': 37}
-
id: 108909553
{'aut_label': '36C-7', 'centralizer': '37.a1', 'counter': 342, 'group_counter': 1, 'group_order': 15984, 'label': '36K-7', 'order': 36, 'powers': [199, 148, 342], 'representative': 130, 'size': 37}
-
id: 108909554
{'aut_label': '36C-7', 'centralizer': '37.a1', 'counter': 343, 'group_counter': 1, 'group_order': 15984, 'label': '36K11', 'order': 36, 'powers': [199, 149, 343], 'representative': 346, 'size': 37}
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id: 108909555
{'aut_label': '36C7', 'centralizer': '37.a1', 'counter': 344, 'group_counter': 1, 'group_order': 15984, 'label': '36K-11', 'order': 36, 'powers': [200, 150, 344], 'representative': 122, 'size': 37}
-
id: 108909556
{'aut_label': '36C-5', 'centralizer': '37.a1', 'counter': 345, 'group_counter': 1, 'group_order': 15984, 'label': '36K13', 'order': 36, 'powers': [204, 150, 345], 'representative': 134, 'size': 37}
-
id: 108909557
{'aut_label': '36C5', 'centralizer': '37.a1', 'counter': 346, 'group_counter': 1, 'group_order': 15984, 'label': '36K-13', 'order': 36, 'powers': [203, 149, 346], 'representative': 334, 'size': 37}
-
id: 108909558
{'aut_label': '36C-1', 'centralizer': '37.a1', 'counter': 347, 'group_counter': 1, 'group_order': 15984, 'label': '36K17', 'order': 36, 'powers': [202, 148, 347], 'representative': 142, 'size': 37}
-
id: 108909559
{'aut_label': '36C1', 'centralizer': '37.a1', 'counter': 348, 'group_counter': 1, 'group_order': 15984, 'label': '36K-17', 'order': 36, 'powers': [201, 147, 348], 'representative': 326, 'size': 37}
-
id: 108909560
{'aut_label': '36A1', 'centralizer': '37.a1', 'counter': 349, 'group_counter': 1, 'group_order': 15984, 'label': '36L1', 'order': 36, 'powers': [163, 151, 349], 'representative': 217, 'size': 37}
-
id: 108909562
{'aut_label': '36A-1', 'centralizer': '37.a1', 'counter': 350, 'group_counter': 1, 'group_order': 15984, 'label': '36L-1', 'order': 36, 'powers': [164, 152, 350], 'representative': 251, 'size': 37}
-
id: 108909563
{'aut_label': '36A5', 'centralizer': '37.a1', 'counter': 351, 'group_counter': 1, 'group_order': 15984, 'label': '36L5', 'order': 36, 'powers': [165, 153, 351], 'representative': 221, 'size': 37}
-
id: 108909564
{'aut_label': '36A-5', 'centralizer': '37.a1', 'counter': 352, 'group_counter': 1, 'group_order': 15984, 'label': '36L-5', 'order': 36, 'powers': [166, 154, 352], 'representative': 247, 'size': 37}
-
id: 108909565
{'aut_label': '36A7', 'centralizer': '37.a1', 'counter': 353, 'group_counter': 1, 'group_order': 15984, 'label': '36L7', 'order': 36, 'powers': [167, 154, 353], 'representative': 223, 'size': 37}
-
id: 108909566
{'aut_label': '36A-7', 'centralizer': '37.a1', 'counter': 354, 'group_counter': 1, 'group_order': 15984, 'label': '36L-7', 'order': 36, 'powers': [168, 153, 354], 'representative': 245, 'size': 37}
-
id: 108909567
{'aut_label': '36A11', 'centralizer': '37.a1', 'counter': 355, 'group_counter': 1, 'group_order': 15984, 'label': '36L11', 'order': 36, 'powers': [168, 152, 355], 'representative': 227, 'size': 37}
-
id: 108909568
{'aut_label': '36A-11', 'centralizer': '37.a1', 'counter': 356, 'group_counter': 1, 'group_order': 15984, 'label': '36L-11', 'order': 36, 'powers': [167, 151, 356], 'representative': 241, 'size': 37}
-
id: 108909569
{'aut_label': '36A13', 'centralizer': '37.a1', 'counter': 357, 'group_counter': 1, 'group_order': 15984, 'label': '36L13', 'order': 36, 'powers': [166, 151, 357], 'representative': 229, 'size': 37}
-
id: 108909570
{'aut_label': '36A-13', 'centralizer': '37.a1', 'counter': 358, 'group_counter': 1, 'group_order': 15984, 'label': '36L-13', 'order': 36, 'powers': [165, 152, 358], 'representative': 239, 'size': 37}
-
id: 108909571
{'aut_label': '36A17', 'centralizer': '37.a1', 'counter': 359, 'group_counter': 1, 'group_order': 15984, 'label': '36L17', 'order': 36, 'powers': [164, 153, 359], 'representative': 233, 'size': 37}
-
id: 108909573
{'aut_label': '36A-17', 'centralizer': '37.a1', 'counter': 360, 'group_counter': 1, 'group_order': 15984, 'label': '36L-17', 'order': 36, 'powers': [163, 154, 360], 'representative': 235, 'size': 37}
-
id: 108909574
{'aut_label': '36A1', 'centralizer': '37.a1', 'counter': 361, 'group_counter': 1, 'group_order': 15984, 'label': '36M1', 'order': 36, 'powers': [205, 155, 361], 'representative': 181, 'size': 37}
-
id: 108909575
{'aut_label': '36A-1', 'centralizer': '37.a1', 'counter': 362, 'group_counter': 1, 'group_order': 15984, 'label': '36M-1', 'order': 36, 'powers': [206, 156, 362], 'representative': 287, 'size': 37}
-
id: 108909576
{'aut_label': '36A5', 'centralizer': '37.a1', 'counter': 363, 'group_counter': 1, 'group_order': 15984, 'label': '36M5', 'order': 36, 'powers': [207, 157, 363], 'representative': 41, 'size': 37}
-
id: 108909577
{'aut_label': '36A-5', 'centralizer': '37.a1', 'counter': 364, 'group_counter': 1, 'group_order': 15984, 'label': '36M-5', 'order': 36, 'powers': [208, 158, 364], 'representative': 427, 'size': 37}
-
id: 108909578
{'aut_label': '36A7', 'centralizer': '37.a1', 'counter': 365, 'group_counter': 1, 'group_order': 15984, 'label': '36M7', 'order': 36, 'powers': [209, 158, 365], 'representative': 403, 'size': 37}
-
id: 108909579
{'aut_label': '36A-7', 'centralizer': '37.a1', 'counter': 366, 'group_counter': 1, 'group_order': 15984, 'label': '36M-7', 'order': 36, 'powers': [210, 157, 366], 'representative': 65, 'size': 37}
-
id: 108909580
{'aut_label': '36A11', 'centralizer': '37.a1', 'counter': 367, 'group_counter': 1, 'group_order': 15984, 'label': '36M11', 'order': 36, 'powers': [210, 156, 367], 'representative': 263, 'size': 37}
-
id: 108909581
{'aut_label': '36A-11', 'centralizer': '37.a1', 'counter': 368, 'group_counter': 1, 'group_order': 15984, 'label': '36M-11', 'order': 36, 'powers': [209, 155, 368], 'representative': 205, 'size': 37}
-
id: 108909582
{'aut_label': '36A13', 'centralizer': '37.a1', 'counter': 369, 'group_counter': 1, 'group_order': 15984, 'label': '36M13', 'order': 36, 'powers': [208, 155, 369], 'representative': 193, 'size': 37}
-
id: 108909584
{'aut_label': '36A-13', 'centralizer': '37.a1', 'counter': 370, 'group_counter': 1, 'group_order': 15984, 'label': '36M-13', 'order': 36, 'powers': [207, 156, 370], 'representative': 275, 'size': 37}
-
id: 108909585
{'aut_label': '36A17', 'centralizer': '37.a1', 'counter': 371, 'group_counter': 1, 'group_order': 15984, 'label': '36M17', 'order': 36, 'powers': [206, 157, 371], 'representative': 53, 'size': 37}
-
id: 108909586
{'aut_label': '36A-17', 'centralizer': '37.a1', 'counter': 372, 'group_counter': 1, 'group_order': 15984, 'label': '36M-17', 'order': 36, 'powers': [205, 158, 372], 'representative': 415, 'size': 37}
-
id: 108909587
{'aut_label': '36A1', 'centralizer': '37.a1', 'counter': 373, 'group_counter': 1, 'group_order': 15984, 'label': '36N1', 'order': 36, 'powers': [211, 159, 373], 'representative': 109, 'size': 37}
-
id: 108909588
{'aut_label': '36A-1', 'centralizer': '37.a1', 'counter': 374, 'group_counter': 1, 'group_order': 15984, 'label': '36N-1', 'order': 36, 'powers': [212, 160, 374], 'representative': 359, 'size': 37}
-
id: 108909589
{'aut_label': '36A5', 'centralizer': '37.a1', 'counter': 375, 'group_counter': 1, 'group_order': 15984, 'label': '36N5', 'order': 36, 'powers': [213, 161, 375], 'representative': 113, 'size': 37}
-
id: 108909590
{'aut_label': '36A-5', 'centralizer': '37.a1', 'counter': 376, 'group_counter': 1, 'group_order': 15984, 'label': '36N-5', 'order': 36, 'powers': [214, 162, 376], 'representative': 355, 'size': 37}
-
id: 108909591
{'aut_label': '36A7', 'centralizer': '37.a1', 'counter': 377, 'group_counter': 1, 'group_order': 15984, 'label': '36N7', 'order': 36, 'powers': [215, 162, 377], 'representative': 331, 'size': 37}
-
id: 108909592
{'aut_label': '36A-7', 'centralizer': '37.a1', 'counter': 378, 'group_counter': 1, 'group_order': 15984, 'label': '36N-7', 'order': 36, 'powers': [216, 161, 378], 'representative': 137, 'size': 37}
-
id: 108909593
{'aut_label': '36A11', 'centralizer': '37.a1', 'counter': 379, 'group_counter': 1, 'group_order': 15984, 'label': '36N11', 'order': 36, 'powers': [216, 160, 379], 'representative': 335, 'size': 37}
-
id: 108909595
{'aut_label': '36A-11', 'centralizer': '37.a1', 'counter': 380, 'group_counter': 1, 'group_order': 15984, 'label': '36N-11', 'order': 36, 'powers': [215, 159, 380], 'representative': 133, 'size': 37}
-
id: 108909596
{'aut_label': '36A13', 'centralizer': '37.a1', 'counter': 381, 'group_counter': 1, 'group_order': 15984, 'label': '36N13', 'order': 36, 'powers': [214, 159, 381], 'representative': 121, 'size': 37}
-
id: 108909597
{'aut_label': '36A-13', 'centralizer': '37.a1', 'counter': 382, 'group_counter': 1, 'group_order': 15984, 'label': '36N-13', 'order': 36, 'powers': [213, 160, 382], 'representative': 347, 'size': 37}
-
id: 108909598
{'aut_label': '36A17', 'centralizer': '37.a1', 'counter': 383, 'group_counter': 1, 'group_order': 15984, 'label': '36N17', 'order': 36, 'powers': [212, 161, 383], 'representative': 125, 'size': 37}
-
id: 108909599
{'aut_label': '36A-17', 'centralizer': '37.a1', 'counter': 384, 'group_counter': 1, 'group_order': 15984, 'label': '36N-17', 'order': 36, 'powers': [211, 162, 384], 'representative': 343, 'size': 37}
-
id: 108909600
{'aut_label': '36A5', 'centralizer': '37.a1', 'counter': 385, 'group_counter': 1, 'group_order': 15984, 'label': '36O1', 'order': 36, 'powers': [183, 153, 385], 'representative': 77, 'size': 37}
-
id: 108909601
{'aut_label': '36A-5', 'centralizer': '37.a1', 'counter': 386, 'group_counter': 1, 'group_order': 15984, 'label': '36O-1', 'order': 36, 'powers': [184, 154, 386], 'representative': 391, 'size': 37}
-
id: 108909602
{'aut_label': '36A-11', 'centralizer': '37.a1', 'counter': 387, 'group_counter': 1, 'group_order': 15984, 'label': '36O5', 'order': 36, 'powers': [185, 151, 387], 'representative': 385, 'size': 37}
-
id: 108909603
{'aut_label': '36A11', 'centralizer': '37.a1', 'counter': 388, 'group_counter': 1, 'group_order': 15984, 'label': '36O-5', 'order': 36, 'powers': [186, 152, 388], 'representative': 83, 'size': 37}
-
id: 108909604
{'aut_label': '36A-1', 'centralizer': '37.a1', 'counter': 389, 'group_counter': 1, 'group_order': 15984, 'label': '36O7', 'order': 36, 'powers': [182, 152, 389], 'representative': 107, 'size': 37}
-
id: 108909606
{'aut_label': '36A1', 'centralizer': '37.a1', 'counter': 390, 'group_counter': 1, 'group_order': 15984, 'label': '36O-7', 'order': 36, 'powers': [181, 151, 390], 'representative': 361, 'size': 37}
-
id: 108909607
{'aut_label': '36A-17', 'centralizer': '37.a1', 'counter': 391, 'group_counter': 1, 'group_order': 15984, 'label': '36O11', 'order': 36, 'powers': [181, 154, 391], 'representative': 379, 'size': 37}
-
id: 108909608
{'aut_label': '36A17', 'centralizer': '37.a1', 'counter': 392, 'group_counter': 1, 'group_order': 15984, 'label': '36O-11', 'order': 36, 'powers': [182, 153, 392], 'representative': 89, 'size': 37}
-
id: 108909609
{'aut_label': '36A-7', 'centralizer': '37.a1', 'counter': 393, 'group_counter': 1, 'group_order': 15984, 'label': '36O13', 'order': 36, 'powers': [186, 153, 393], 'representative': 101, 'size': 37}
-
id: 108909610
{'aut_label': '36A7', 'centralizer': '37.a1', 'counter': 394, 'group_counter': 1, 'group_order': 15984, 'label': '36O-13', 'order': 36, 'powers': [185, 154, 394], 'representative': 367, 'size': 37}
-
id: 108909611
{'aut_label': '36A13', 'centralizer': '37.a1', 'counter': 395, 'group_counter': 1, 'group_order': 15984, 'label': '36O17', 'order': 36, 'powers': [184, 151, 395], 'representative': 373, 'size': 37}
-
id: 108909612
{'aut_label': '36A-13', 'centralizer': '37.a1', 'counter': 396, 'group_counter': 1, 'group_order': 15984, 'label': '36O-17', 'order': 36, 'powers': [183, 152, 396], 'representative': 95, 'size': 37}
-
id: 108909613
{'aut_label': '36A1', 'centralizer': '37.a1', 'counter': 397, 'group_counter': 1, 'group_order': 15984, 'label': '36P1', 'order': 36, 'powers': [211, 155, 397], 'representative': 325, 'size': 37}
-
id: 108909614
{'aut_label': '36A-1', 'centralizer': '37.a1', 'counter': 398, 'group_counter': 1, 'group_order': 15984, 'label': '36P-1', 'order': 36, 'powers': [212, 156, 398], 'representative': 143, 'size': 37}
-
id: 108909615
{'aut_label': '36A5', 'centralizer': '37.a1', 'counter': 399, 'group_counter': 1, 'group_order': 15984, 'label': '36P5', 'order': 36, 'powers': [213, 157, 399], 'representative': 329, 'size': 37}
-
id: 108909618
{'aut_label': '36A-5', 'centralizer': '37.a1', 'counter': 400, 'group_counter': 1, 'group_order': 15984, 'label': '36P-5', 'order': 36, 'powers': [214, 158, 400], 'representative': 139, 'size': 37}
-
id: 108909619
{'aut_label': '36A7', 'centralizer': '37.a1', 'counter': 401, 'group_counter': 1, 'group_order': 15984, 'label': '36P7', 'order': 36, 'powers': [215, 158, 401], 'representative': 115, 'size': 37}
-
id: 108909620
{'aut_label': '36A-7', 'centralizer': '37.a1', 'counter': 402, 'group_counter': 1, 'group_order': 15984, 'label': '36P-7', 'order': 36, 'powers': [216, 157, 402], 'representative': 353, 'size': 37}
-
id: 108909621
{'aut_label': '36A11', 'centralizer': '37.a1', 'counter': 403, 'group_counter': 1, 'group_order': 15984, 'label': '36P11', 'order': 36, 'powers': [216, 156, 403], 'representative': 119, 'size': 37}
-
id: 108909622
{'aut_label': '36A-11', 'centralizer': '37.a1', 'counter': 404, 'group_counter': 1, 'group_order': 15984, 'label': '36P-11', 'order': 36, 'powers': [215, 155, 404], 'representative': 349, 'size': 37}
-
id: 108909623
{'aut_label': '36A13', 'centralizer': '37.a1', 'counter': 405, 'group_counter': 1, 'group_order': 15984, 'label': '36P13', 'order': 36, 'powers': [214, 155, 405], 'representative': 337, 'size': 37}
-
id: 108909624
{'aut_label': '36A-13', 'centralizer': '37.a1', 'counter': 406, 'group_counter': 1, 'group_order': 15984, 'label': '36P-13', 'order': 36, 'powers': [213, 156, 406], 'representative': 131, 'size': 37}
-
id: 108909625
{'aut_label': '36A17', 'centralizer': '37.a1', 'counter': 407, 'group_counter': 1, 'group_order': 15984, 'label': '36P17', 'order': 36, 'powers': [212, 157, 407], 'representative': 341, 'size': 37}
-
id: 108909626
{'aut_label': '36A-17', 'centralizer': '37.a1', 'counter': 408, 'group_counter': 1, 'group_order': 15984, 'label': '36P-17', 'order': 36, 'powers': [211, 158, 408], 'representative': 127, 'size': 37}
-
id: 108909627
{'aut_label': '36A1', 'centralizer': '37.a1', 'counter': 409, 'group_counter': 1, 'group_order': 15984, 'label': '36Q1', 'order': 36, 'powers': [193, 159, 409], 'representative': 253, 'size': 37}
-
id: 108909629
{'aut_label': '36A-1', 'centralizer': '37.a1', 'counter': 410, 'group_counter': 1, 'group_order': 15984, 'label': '36Q-1', 'order': 36, 'powers': [194, 160, 410], 'representative': 215, 'size': 37}
-
id: 108909630
{'aut_label': '36A5', 'centralizer': '37.a1', 'counter': 411, 'group_counter': 1, 'group_order': 15984, 'label': '36Q5', 'order': 36, 'powers': [195, 161, 411], 'representative': 401, 'size': 37}
-
id: 108909631
{'aut_label': '36A-5', 'centralizer': '37.a1', 'counter': 412, 'group_counter': 1, 'group_order': 15984, 'label': '36Q-5', 'order': 36, 'powers': [196, 162, 412], 'representative': 67, 'size': 37}
-
id: 108909632
{'aut_label': '36A7', 'centralizer': '37.a1', 'counter': 413, 'group_counter': 1, 'group_order': 15984, 'label': '36Q7', 'order': 36, 'powers': [197, 162, 413], 'representative': 43, 'size': 37}
-
id: 108909633
{'aut_label': '36A-7', 'centralizer': '37.a1', 'counter': 414, 'group_counter': 1, 'group_order': 15984, 'label': '36Q-7', 'order': 36, 'powers': [198, 161, 414], 'representative': 425, 'size': 37}
-
id: 108909634
{'aut_label': '36A11', 'centralizer': '37.a1', 'counter': 415, 'group_counter': 1, 'group_order': 15984, 'label': '36Q11', 'order': 36, 'powers': [198, 160, 415], 'representative': 191, 'size': 37}
-
id: 108909635
{'aut_label': '36A-11', 'centralizer': '37.a1', 'counter': 416, 'group_counter': 1, 'group_order': 15984, 'label': '36Q-11', 'order': 36, 'powers': [197, 159, 416], 'representative': 277, 'size': 37}
-
id: 108909636
{'aut_label': '36A13', 'centralizer': '37.a1', 'counter': 417, 'group_counter': 1, 'group_order': 15984, 'label': '36Q13', 'order': 36, 'powers': [196, 159, 417], 'representative': 265, 'size': 37}
-
id: 108909637
{'aut_label': '36A-13', 'centralizer': '37.a1', 'counter': 418, 'group_counter': 1, 'group_order': 15984, 'label': '36Q-13', 'order': 36, 'powers': [195, 160, 418], 'representative': 203, 'size': 37}
-
id: 108909638
{'aut_label': '36A17', 'centralizer': '37.a1', 'counter': 419, 'group_counter': 1, 'group_order': 15984, 'label': '36Q17', 'order': 36, 'powers': [194, 161, 419], 'representative': 413, 'size': 37}
-
id: 108909640
{'aut_label': '36A-17', 'centralizer': '37.a1', 'counter': 420, 'group_counter': 1, 'group_order': 15984, 'label': '36Q-17', 'order': 36, 'powers': [193, 162, 420], 'representative': 55, 'size': 37}
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id: 108909641
{'aut_label': '36A1', 'centralizer': '37.a1', 'counter': 421, 'group_counter': 1, 'group_order': 15984, 'label': '36R1', 'order': 36, 'powers': [205, 159, 421], 'representative': 397, 'size': 37}
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id: 108909642
{'aut_label': '36A-1', 'centralizer': '37.a1', 'counter': 422, 'group_counter': 1, 'group_order': 15984, 'label': '36R-1', 'order': 36, 'powers': [206, 160, 422], 'representative': 71, 'size': 37}
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id: 108909643
{'aut_label': '36A5', 'centralizer': '37.a1', 'counter': 423, 'group_counter': 1, 'group_order': 15984, 'label': '36R5', 'order': 36, 'powers': [207, 161, 423], 'representative': 257, 'size': 37}
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id: 108909644
{'aut_label': '36A-5', 'centralizer': '37.a1', 'counter': 424, 'group_counter': 1, 'group_order': 15984, 'label': '36R-5', 'order': 36, 'powers': [208, 162, 424], 'representative': 211, 'size': 37}
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id: 108909645
{'aut_label': '36A7', 'centralizer': '37.a1', 'counter': 425, 'group_counter': 1, 'group_order': 15984, 'label': '36R7', 'order': 36, 'powers': [209, 162, 425], 'representative': 187, 'size': 37}
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id: 108909646
{'aut_label': '36A-7', 'centralizer': '37.a1', 'counter': 426, 'group_counter': 1, 'group_order': 15984, 'label': '36R-7', 'order': 36, 'powers': [210, 161, 426], 'representative': 281, 'size': 37}
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id: 108909647
{'aut_label': '36A11', 'centralizer': '37.a1', 'counter': 427, 'group_counter': 1, 'group_order': 15984, 'label': '36R11', 'order': 36, 'powers': [210, 160, 427], 'representative': 47, 'size': 37}
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id: 108909648
{'aut_label': '36A-11', 'centralizer': '37.a1', 'counter': 428, 'group_counter': 1, 'group_order': 15984, 'label': '36R-11', 'order': 36, 'powers': [209, 159, 428], 'representative': 421, 'size': 37}
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id: 108909649
{'aut_label': '36A13', 'centralizer': '37.a1', 'counter': 429, 'group_counter': 1, 'group_order': 15984, 'label': '36R13', 'order': 36, 'powers': [208, 159, 429], 'representative': 409, 'size': 37}
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id: 108909651
{'aut_label': '36A-13', 'centralizer': '37.a1', 'counter': 430, 'group_counter': 1, 'group_order': 15984, 'label': '36R-13', 'order': 36, 'powers': [207, 160, 430], 'representative': 59, 'size': 37}
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id: 108909652
{'aut_label': '36A17', 'centralizer': '37.a1', 'counter': 431, 'group_counter': 1, 'group_order': 15984, 'label': '36R17', 'order': 36, 'powers': [206, 161, 431], 'representative': 269, 'size': 37}
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id: 108909653
{'aut_label': '36A-17', 'centralizer': '37.a1', 'counter': 432, 'group_counter': 1, 'group_order': 15984, 'label': '36R-17', 'order': 36, 'powers': [205, 162, 432], 'representative': 199, 'size': 37}
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id: 108909654
{'aut_label': '37A', 'centralizer': '36.d1', 'counter': 433, 'group_counter': 1, 'group_order': 15984, 'label': '37A', 'order': 37, 'powers': [433, 433, 1], 'representative': 432, 'size': 36}
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id: 108909655
{'aut_label': '74A', 'centralizer': '36.d1', 'counter': 434, 'group_counter': 1, 'group_order': 15984, 'label': '74A', 'order': 74, 'powers': [433, 434, 2], 'representative': 216, 'size': 36}
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id: 108909656
{'aut_label': '111A1', 'centralizer': '36.d1', 'counter': 435, 'group_counter': 1, 'group_order': 15984, 'label': '111A1', 'order': 111, 'powers': [436, 433, 5], 'representative': 144, 'size': 36}
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id: 108909657
{'aut_label': '111A1', 'centralizer': '36.d1', 'counter': 436, 'group_counter': 1, 'group_order': 15984, 'label': '111A-1', 'order': 111, 'powers': [435, 433, 6], 'representative': 15840, 'size': 36}
-
id: 108909658
{'aut_label': '148A1', 'centralizer': '36.d1', 'counter': 437, 'group_counter': 1, 'group_order': 15984, 'label': '148A1', 'order': 148, 'powers': [434, 438, 13], 'representative': 108, 'size': 36}
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id: 108909659
{'aut_label': '148A1', 'centralizer': '36.d1', 'counter': 438, 'group_counter': 1, 'group_order': 15984, 'label': '148A-1', 'order': 148, 'powers': [434, 437, 14], 'representative': 15876, 'size': 36}
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id: 108909660
{'aut_label': '222A1', 'centralizer': '36.d1', 'counter': 439, 'group_counter': 1, 'group_order': 15984, 'label': '222A1', 'order': 222, 'powers': [435, 434, 25], 'representative': 72, 'size': 36}
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id: 108909662
{'aut_label': '222A1', 'centralizer': '36.d1', 'counter': 440, 'group_counter': 1, 'group_order': 15984, 'label': '222A-1', 'order': 222, 'powers': [436, 434, 26], 'representative': 15912, 'size': 36}
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id: 108909663
{'aut_label': '444A1', 'centralizer': '36.d1', 'counter': 441, 'group_counter': 1, 'group_order': 15984, 'label': '444A1', 'order': 444, 'powers': [439, 437, 67], 'representative': 36, 'size': 36}
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id: 108909664
{'aut_label': '444A1', 'centralizer': '36.d1', 'counter': 442, 'group_counter': 1, 'group_order': 15984, 'label': '444A-1', 'order': 444, 'powers': [440, 438, 68], 'representative': 396, 'size': 36}
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id: 108909665
{'aut_label': '444A1', 'centralizer': '36.d1', 'counter': 443, 'group_counter': 1, 'group_order': 15984, 'label': '444A5', 'order': 444, 'powers': [440, 437, 69], 'representative': 180, 'size': 36}
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id: 108909666
{'aut_label': '444A1', 'centralizer': '36.d1', 'counter': 444, 'group_counter': 1, 'group_order': 15984, 'label': '444A-5', 'order': 444, 'powers': [439, 438, 70], 'representative': 252, 'size': 36}
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gps_qchar • Show schema
Hide schema
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id: 4065071
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '15984.a', 'group_order': 15984, 'image': None, 'label': '15984.a.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 4065082
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '15984.a', 'group_order': 15984, 'image': None, 'label': '15984.a.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
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id: 4065093
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '15984.a', 'group_order': 15984, 'image': None, 'label': '15984.a.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
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id: 4065104
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '15984.a', 'group_order': 15984, 'image': None, 'label': '15984.a.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 4065115
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '15984.a', 'group_order': 15984, 'image': None, 'label': '15984.a.1e', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, -1, -1, 2, 2, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, 2, -1, -1, 2, 2, -1, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, 2, -1, 2, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, -1, 2, 2, 2, 2, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, 2, 2, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, 2, 2, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, 2, -1, -1, 2, 2, -1, -1, 2, -1, 2, -1, 2, 2, 2, -1, 2, 2, -1, 2, 2, -1, -1, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, 2, -1, 2, 2, 2, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
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id: 4065126
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id: 4065137
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id: 4065075
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id: 4065076
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id: 4065077
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id: 4065078
{'cdim': 1, 'counter': 16, 'faithful': False, 'group': '15984.a', 'group_order': 15984, 'image': None, 'label': '15984.a.1p', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, 1, 1, 1, 1, -1, 1, 2, -1, 1, 1, -1, -1, -1, 1, 1, 1, -2, -2, 1, 1, -2, 1, -2, -2, 1, -2, 1, 1, -2, 1, 2, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -2, 2, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -2, -2, -1, -1, -2, -1, -1, 2, 1, 2, -2, 1, 1, -2, 2, -2, 1, -1, -2, -1, 1, 1, -2, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 2, 1, 1, 2, -1, 1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, 2, 2, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -2, -1, -2, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, 1, -2, 2, 1, -2, 1, -2, 1, 1, 2, 1, -1, -1, 1, -1, 2, -1, -1, 2, -1, -1, 1, 1, -2, -2, 1, -2, 1, -2, -2, 1, -2, -2, -1, 1, 2, 1, 1, 2, -1, 2, 2, -1, 2, 2, -2, 2, 1, 1, -2, 1, -2, 1, -2, 1, -1, 1, 1, 1, 1, -2, 1, -1, 1, 1, 1, 1, 2, 1, -1, -2, -2, 1, -2, -2, -2, -1, -2, 1, -2, 1, -2, -2, 1, -2, -1, -2, 1, 2, 1, 1, 1, 1, -1, 1, 1, -2, -2, 1, 1, -1, 1, -2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, -2, 1, 1, -1, -1, -1, -2, -1, -2, 1, -1, -1, -1, -1, -1, -1, -2, 1, -2, 1, -2, 1, 1, -1, -2, 1, 1, -2, 2, -1, 1, -1, 1, -1, -1, -1, 2, -1, -1, 2, 1, 1, -2, 2, 1, -2, -2, -2, 1, -2, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 2, -1, 1, 2, 2, 2, -1, 2, -1, 1, 2, 2, -1, -1, -2, -2, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
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id: 4065079
{'cdim': 1, 'counter': 17, 'faithful': False, 'group': '15984.a', 'group_order': 15984, 'image': None, 'label': '15984.a.1q', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, 2, 2, 1, 1, 1, 1, -1, 1, 2, -1, 1, 1, -1, -1, -1, 1, 1, 1, -2, -2, 1, 1, -2, 1, -2, -2, 1, -2, 1, 1, -2, 1, 2, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -2, 2, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -2, -2, -1, -1, -2, -1, -1, 2, 1, 2, -2, 1, 1, -2, 2, -2, 1, -1, -2, -1, 1, 1, -2, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 2, 1, 1, 2, -1, 1, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, 2, 1, 2, 1, -1, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 1, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -2, -1, 2, -2, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -2, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -2, -2, 1, -2, 1, 1, 1, 1, 2, 1, -2, 1, 1, 1, -2, -1, -2, 1, -2, -2, -1, 1, 2, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, -2, -1, -2, -2, -2, -2, 2, -2, 1, 1, 1, -2, 1, -1, 1, 1, 1, 1, -2, -2, -2, -2, -1, -2, 1, 1, 1, 1, 1, -1, 2, 2, 1, 2, 1, -2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, -1, -1, -2, -1, -2, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, -2, 1, -2, -2, -2, -2, -2, -2, -2, -2, -1, 1, -1, 2, 1, -1, -1, -1, -1, -1, -1, 1, 2, 2, -1, -1, -2, -2, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
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id: 4065080
{'cdim': 1, 'counter': 18, 'faithful': False, 'group': '15984.a', 'group_order': 15984, 'image': None, 'label': '15984.a.1r', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -1, 1, 1, -2, 2, -1, 1, 2, -1, 2, -2, -1, -2, -1, 1, 2, -1, -2, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 2, -2, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -2, 2, 1, 1, -2, 1, 1, -2, 1, -2, -2, 1, -1, -2, -2, -2, 1, 1, 2, 1, -1, 1, 2, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -2, -1, -1, -2, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, 2, -1, -1, 2, 2, -1, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, 2, 2, -1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 1, 2, 1, 1, 2, -1, 2, -1, 2, 2, 1, 1, -2, 1, 1, -2, 1, -2, -2, 1, -2, -2, 2, -2, -1, -1, -2, -1, 2, -1, -1, 2, -1, -1, -2, -2, 1, -1, -2, 1, -2, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, -1, -1, -2, 1, -2, 1, -2, 1, 2, -2, 1, 1, -2, -1, -2, 1, 1, 1, -2, 1, 1, 1, -2, -1, 1, 1, -2, 1, -2, 1, 2, -1, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -2, 1, -1, 1, -2, -2, -2, 1, -2, 2, -1, 1, 1, 1, 1, 1, -2, 2, 1, -2, -2, -2, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 2, 1, 2, 1, 2, 2, 1, -1, 2, 2, -1, 1, -2, 1, -2, 1, -2, -2, -2, 1, -2, -2, 1, 2, -2, -1, 1, -2, -1, -1, -1, 2, -1, 2, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -2, -2, 1, 1, -2, 1, 1, 1, -2, 1, -2, 2, 2, 2, -1, -1, -2, -2, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
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id: 4065081
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id: 4065083
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id: 4065084
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id: 4065085
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id: 4065086
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id: 4065087
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id: 4065089
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id: 4065090
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id: 4065091
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id: 4065092
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id: 4065094
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id: 4065095
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id: 4065096
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id: 4065097
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id: 4065098
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id: 4065099
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id: 4065100
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id: 4065101
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id: 4065102
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id: 4065103
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id: 4065105
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id: 4065106
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id: 4065107
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id: 4065108
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id: 4065109
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id: 4065110
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id: 4065152
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id: 4065153
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id: 4065154
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id: 4065155
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gps_char • Show schema
Hide schema
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id: 5816980
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id: 5817370
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id: 5817371
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id: 5817372
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id: 5817373
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id: 5817374
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id: 5817375
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id: 5817376
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id: 5817377
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id: 5817378
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id: 5817379
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id: 5817381
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id: 5817382
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id: 5817383
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id: 5817384
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id: 5817385
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id: 5817386
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id: 5817387
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id: 5817388
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id: 5817389
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id: 5817390
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id: 5817392
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id: 5817393
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id: 5817394
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id: 5817395
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id: 5817396
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id: 5817397
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id: 5817398
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id: 5817399
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id: 5817400
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id: 5817401
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id: 5817403
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id: 5817404
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id: 5817405
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id: 5817406
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id: 5817407
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id: 5817408
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id: 5817409
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id: 5817410
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id: 5817411
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id: 5817412
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id: 5817414
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id: 5817415
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id: 5817416
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id: 5817417
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id: 5817418
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id: 5817419
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id: 5817420
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id: 5817421
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id: 5817422
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id: 5817423
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id: 5816982
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id: 5816983
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id: 5816984
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id: 5816985
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id: 5816986
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id: 5816987
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id: 5816988
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id: 5816989
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id: 5816990
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id: 5816991
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id: 5816993
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id: 5816994
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id: 5816995
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id: 5816996
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id: 5816997
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id: 5816998
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id: 5816999
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id: 5817000
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id: 5817001
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id: 5817002
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id: 5817004
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id: 5817005
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id: 5817006
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id: 5817007
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id: 5817008
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id: 5817009
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id: 5817010
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id: 5817011
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id: 5817012
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id: 5817013
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id: 5817015
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id: 5817016
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id: 5817017
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id: 5817018
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id: 5817019
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id: 5817020
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id: 5817021
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id: 5817022
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id: 5817023
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id: 5817024
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id: 5817026
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id: 5817027
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id: 5817028
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id: 5817029
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id: 5817030
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id: 5817031
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id: 5817032
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id: 5817033
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id: 5817034
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id: 5817035
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id: 5817037
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id: 5817038
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id: 5817039
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id: 5817040
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id: 5817041
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id: 5817042
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id: 5817043
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id: 5817091
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id: 5817044
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id: 5817045
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id: 5817046
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id: 5817048
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id: 5817049
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id: 5817050
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id: 5817051
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id: 5817052
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id: 5817053
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id: 5817054
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id: 5817055
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id: 5817056
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id: 5817057
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id: 5817059
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id: 5817060
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id: 5817061
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id: 5817062
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id: 5817063
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id: 5817064
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id: 5817065
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id: 5817066
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id: 5817067
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id: 5817068
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id: 5817070
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id: 5817071
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id: 5817072
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id: 5817073
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id: 5817074
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id: 5817075
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id: 5817076
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id: 5817077
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id: 5817078
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id: 5817079
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id: 5817081
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id: 5817082
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id: 5817083
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id: 5817084
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id: 5817085
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id: 5817086
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id: 5817087
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id: 5817088
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id: 5817089
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id: 5817090
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id: 5817093
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id: 5817094
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id: 5817095
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id: 5817096
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id: 5817097
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id: 5817098
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id: 5817099
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id: 5817100
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id: 5817101
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id: 5817102
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id: 5817104
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id: 5817105
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id: 5817106
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id: 5817107
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id: 5817108
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id: 5817109
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id: 5817110
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id: 5817111
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id: 5817121
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id: 5817122
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id: 5817123
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id: 5817112
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id: 5817113
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id: 5817115
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id: 5817116
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id: 5817117
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id: 5817118
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id: 5817119
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id: 5817120
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id: 5817124
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id: 5817134
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id: 5817135
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id: 5817137
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id: 5817126
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id: 5817127
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id: 5817128
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id: 5817129
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id: 5817130
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id: 5817131
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id: 5817132
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id: 5817133
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id: 5817138
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id: 5817148
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id: 5817149
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id: 5817150
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id: 5817139
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id: 5817140
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id: 5817141
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id: 5817142
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id: 5817143
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id: 5817144
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id: 5817145
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id: 5817146
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id: 5817151
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id: 5817161
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id: 5817162
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id: 5817163
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id: 5817152
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id: 5817153
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id: 5817154
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id: 5817155
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id: 5817156
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id: 5817157
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id: 5817159
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id: 5817160
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id: 5817164
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id: 5817174
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id: 5817175
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id: 5817176
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id: 5817165
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id: 5817166
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id: 5817167
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id: 5817168
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id: 5817170
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id: 5817171
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id: 5817172
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id: 5817173
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id: 5817177
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id: 5817187
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id: 5817188
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id: 5817189
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id: 5817178
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id: 5817179
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id: 5817181
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id: 5817182
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id: 5817183
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id: 5817184
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id: 5817185
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id: 5817186
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id: 5817190
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id: 5817200
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id: 5817201
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id: 5817204
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id: 5817192
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id: 5817193
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id: 5817194
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id: 5817195
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id: 5817196
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id: 5817197
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id: 5817198
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id: 5817199
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id: 5817205
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id: 5817215
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id: 5817216
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id: 5817217
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id: 5817206
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id: 5817207
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id: 5817208
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id: 5817209
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id: 5817210
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id: 5817211
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id: 5817212
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id: 5817213
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id: 5817218
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id: 5817228
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id: 5817229
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id: 5817230
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id: 5817219
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id: 5817220
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id: 5817221
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id: 5817222
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id: 5817223
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id: 5817224
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id: 5817226
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id: 5817227
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id: 5817231
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id: 5817241
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id: 5817242
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id: 5817243
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id: 5817232
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id: 5817233
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id: 5817234
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id: 5817235
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id: 5817237
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id: 5817238
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id: 5817239
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id: 5817240
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id: 5817244
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id: 5817254
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id: 5817255
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id: 5817256
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id: 5817245
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id: 5817246
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id: 5817248
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id: 5817249
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id: 5817250
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id: 5817251
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id: 5817252
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id: 5817253
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id: 5817257
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id: 5817267
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id: 5817268
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id: 5817270
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id: 5817259
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id: 5817260
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id: 5817261
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id: 5817262
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id: 5817263
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id: 5817264
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id: 5817265
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id: 5817266
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id: 5817271
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id: 5817281
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id: 5817282
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id: 5817283
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id: 5817272
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id: 5817273
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id: 5817274
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id: 5817275
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id: 5817276
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id: 5817277
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id: 5817278
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id: 5817279
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id: 5817284
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id: 5817294
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id: 5817295
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id: 5817296
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id: 5817285
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id: 5817286
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id: 5817287
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id: 5817288
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id: 5817289
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id: 5817290
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id: 5817292
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id: 5817293
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id: 5817297
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id: 5817307
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id: 5817308
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id: 5817309
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id: 5817298
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id: 5817299
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id: 5817300
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id: 5817301
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id: 5817303
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id: 5817304
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id: 5817305
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id: 5817306
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id: 5817310
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id: 5817321
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id: 5817322
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id: 5817323
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id: 5817311
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id: 5817312
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id: 5817315
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id: 5817316
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id: 5817317
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id: 5817318
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id: 5817319
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id: 5817320
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id: 5817202
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id: 5817324
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id: 5817334
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id: 5817335
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id: 5817337
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id: 5817326
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id: 5817327
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id: 5817328
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id: 5817329
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id: 5817330
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id: 5817331
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id: 5817332
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id: 5817333
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id: 5817338
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id: 5817348
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id: 5817349
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id: 5817350
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id: 5817339
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id: 5817340
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id: 5817341
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id: 5817342
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id: 5817343
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id: 5817344
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id: 5817345
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id: 5817346
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id: 5817313
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id: 5817369
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id: 5817380
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id: 5817391
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id: 5817402
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id: 5817413
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id: 5816981
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id: 5816992
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id: 5817003
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id: 5817014
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id: 5817025
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id: 5817036
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id: 5817047
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id: 5817058
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id: 5817069
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id: 5817080
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id: 5817092
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id: 5817103
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id: 5817114
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id: 5817125
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id: 5817136
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id: 5817147
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id: 5817158
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id: 5817169
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id: 5817180
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id: 5817191
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id: 5817203
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id: 5817214
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id: 5817225
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id: 5817236
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id: 5817247
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id: 5817258
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id: 5817269
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id: 5817280
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id: 5817291
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id: 5817302
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id: 5817314
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id: 5817325
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id: 5817336
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id: 5817347
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id: 5817358
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id: 5817367
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id: 5817351
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id: 5817357
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id: 5817360
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id: 5817361
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id: 5817362
{'center': '1332.a1', 'center_index': 1332, 'center_order': 12, 'counter': 443, 'cyclotomic_n': 12, 'dim': 36, 'faithful': True, 'field': [1, 0, 1], 'group': '15984.a', 'group_counter': 1, 'group_order': 15984, 'image': None, 'image_isoclass': '15984.a', 'image_order': 15984, 'indicator': 0, 'kernel': '15984.a1', 'kernel_order': 1, 'label': '15984.a.36f3', 'nt': [444, 0], 'q_character': None, 'values': [[[36, 0]], [[-36, 0]], [[0, 0]], [[0, 0]], [[-36, 2]], [[36, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[36, 3]], [[-36, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-36, 4]], [[36, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[36, 1]], [[-36, 5]], [[36, 5]], [[-36, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 3]], [[1, 3]], [[1, 4]], [[-1, 2]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]]]}
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id: 5817363
{'center': '1332.a1', 'center_index': 1332, 'center_order': 12, 'counter': 444, 'cyclotomic_n': 12, 'dim': 36, 'faithful': True, 'field': [1, 0, 1], 'group': '15984.a', 'group_counter': 1, 'group_order': 15984, 'image': None, 'image_isoclass': '15984.a', 'image_order': 15984, 'indicator': 0, 'kernel': '15984.a1', 'kernel_order': 1, 'label': '15984.a.36f4', 'nt': [444, 4], 'q_character': None, 'values': [[[36, 0]], [[-36, 0]], [[0, 0]], [[0, 0]], [[36, 4]], [[-36, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-36, 3]], [[36, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[36, 2]], [[-36, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-36, 5]], [[36, 1]], [[-36, 1]], [[36, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 3]], [[-1, 3]], [[-1, 2]], [[1, 4]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]]]}
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gps_subgroup_search • Show schema
Hide schema
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id: 62795784
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 15984, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 222, 'label': '15984.a.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0', 'R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15984.a', 'subgroup_hash': 1147931464434849270, 'subgroup_order': 15984, 'subgroup_tex': 'C_{12}\\times F_{37}', 'supersolvable': True, 'sylow': 0}
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id: 62795836
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 7992, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1', 'C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '7992.b', 'subgroup_hash': 7295932204647797526, 'subgroup_order': 7992, 'subgroup_tex': 'C_{444}:C_{18}', 'supersolvable': True, 'sylow': 0}
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id: 62795847
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': True, 'centralizer_order': 12, 'characteristic': False, 'core_order': 7992, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '7992.a', 'subgroup_hash': 4043671337061785560, 'subgroup_order': 7992, 'subgroup_tex': 'C_6\\times F_{37}', 'supersolvable': True, 'sylow': 0}
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id: 62795858
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 5328, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '5328.b', 'subgroup_hash': 997401973745602874, 'subgroup_order': 5328, 'subgroup_tex': 'C_{444}:C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 62795869
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': True, 'centralizer_order': 12, 'characteristic': False, 'core_order': 5328, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '15984.a.3.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5328.a', 'subgroup_hash': 6895881831525668864, 'subgroup_order': 5328, 'subgroup_tex': 'C_4\\times F_{37}', 'supersolvable': True, 'sylow': 0}
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id: 62795880
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 3996, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '3996.b', 'subgroup_hash': 3419697827575585423, 'subgroup_order': 3996, 'subgroup_tex': 'C_{222}:C_{18}', 'supersolvable': True, 'sylow': 0}
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id: 62795891
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 3996, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': ['C2', 'C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3996.e', 'subgroup_hash': 8878825888442822990, 'subgroup_order': 3996, 'subgroup_tex': 'C_{111}:C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 62795902
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 3996, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3996.c', 'subgroup_hash': 5623738565328140414, 'subgroup_order': 3996, 'subgroup_tex': 'C_{111}:C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 62795913
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': True, 'centralizer_order': 12, 'characteristic': False, 'core_order': 3996, 'counter': 9, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '15984.a.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3996.a', 'subgroup_hash': 7140269462563034978, 'subgroup_order': 3996, 'subgroup_tex': 'C_3\\times F_{37}', 'supersolvable': True, 'sylow': 0}
-
id: 62795785
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 2664, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2664.c', 'subgroup_hash': 8677643246332460568, 'subgroup_order': 2664, 'subgroup_tex': 'C_{444}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 62795796
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 2664, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2664.e', 'subgroup_hash': 3921912663421607516, 'subgroup_order': 2664, 'subgroup_tex': 'C_{222}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795807
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 2664, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2664.a', 'subgroup_hash': 5692410122156655668, 'subgroup_order': 2664, 'subgroup_tex': 'C_{148}:C_{18}', 'supersolvable': True, 'sylow': 0}
-
id: 62795818
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': True, 'centralizer_order': 12, 'characteristic': False, 'core_order': 2664, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2664.b', 'subgroup_hash': 7967020058022097167, 'subgroup_order': 2664, 'subgroup_tex': 'C_2\\times F_{37}', 'supersolvable': True, 'sylow': 0}
-
id: 62795829
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 1998, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1998.52', 'subgroup_hash': 52, 'subgroup_order': 1998, 'subgroup_tex': 'C_{111}:C_{18}', 'supersolvable': True, 'sylow': 0}
-
id: 62795831
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1998, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1998.49', 'subgroup_hash': 49, 'subgroup_order': 1998, 'subgroup_tex': 'C_{111}:C_{18}', 'supersolvable': True, 'sylow': 0}
-
id: 62795832
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 1776, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.9.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '9.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_9', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1776.155', 'subgroup_hash': 155, 'subgroup_order': 1776, 'subgroup_tex': 'C_{148}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795833
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1776, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.9.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '9.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_9', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1776.119', 'subgroup_hash': 119, 'subgroup_order': 1776, 'subgroup_tex': 'C_{148}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795834
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 1776, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.9.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '9.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1776.119', 'subgroup_hash': 119, 'subgroup_order': 1776, 'subgroup_tex': 'C_{148}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795835
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 1332, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1332.39', 'subgroup_hash': 39, 'subgroup_order': 1332, 'subgroup_tex': 'C_{222}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 62795837
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1332, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1332.32', 'subgroup_hash': 32, 'subgroup_order': 1332, 'subgroup_tex': 'C_{74}:C_{18}', 'supersolvable': True, 'sylow': 0}
-
id: 62795838
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 1332, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['C3', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1332.24', 'subgroup_hash': 24, 'subgroup_order': 1332, 'subgroup_tex': 'C_{111}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795839
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 1332, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1332.21', 'subgroup_hash': 21, 'subgroup_order': 1332, 'subgroup_tex': 'C_{111}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795840
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1332, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1332.20', 'subgroup_hash': 20, 'subgroup_order': 1332, 'subgroup_tex': 'C_{148}:C_9', 'supersolvable': True, 'sylow': 0}
-
id: 62795841
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1332, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.12.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1332.19', 'subgroup_hash': 19, 'subgroup_order': 1332, 'subgroup_tex': 'C_{37}:C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 62795842
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1332, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.12.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1332.33', 'subgroup_hash': 33, 'subgroup_order': 1332, 'subgroup_tex': 'C_{111}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795843
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': True, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1332, 'counter': 26, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '15984.a.12.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1332.31', 'subgroup_hash': 31, 'subgroup_order': 1332, 'subgroup_tex': 'F_{37}', 'supersolvable': True, 'sylow': 0}
-
id: 62795844
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 999, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 111, 'label': '15984.a.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '999.13', 'subgroup_hash': 13, 'subgroup_order': 999, 'subgroup_tex': 'C_{111}:C_9', 'supersolvable': True, 'sylow': 0}
-
id: 62795845
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 888, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.18.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '888.28', 'subgroup_hash': 28, 'subgroup_order': 888, 'subgroup_tex': 'C_{12}\\times D_{37}', 'supersolvable': True, 'sylow': 0}
-
id: 62795846
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 888, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.18.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '888.52', 'subgroup_hash': 52, 'subgroup_order': 888, 'subgroup_tex': 'C_{222}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 62795848
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 888, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.18.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '888.9', 'subgroup_hash': 9, 'subgroup_order': 888, 'subgroup_tex': 'C_{148}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 62795849
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 888, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.18.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '888.45', 'subgroup_hash': 45, 'subgroup_order': 888, 'subgroup_tex': 'C_{74}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795850
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 888, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.18.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '888.9', 'subgroup_hash': 9, 'subgroup_order': 888, 'subgroup_tex': 'C_{148}:C_6', 'supersolvable': True, 'sylow': 0}
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id: 62795851
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 888, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.18.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '888.45', 'subgroup_hash': 45, 'subgroup_order': 888, 'subgroup_tex': 'C_{74}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795852
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 666, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '666.12', 'subgroup_hash': 12, 'subgroup_order': 666, 'subgroup_tex': 'C_{111}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 62795853
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 666, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '666.8', 'subgroup_hash': 8, 'subgroup_order': 666, 'subgroup_tex': 'C_{37}:C_{18}', 'supersolvable': True, 'sylow': 0}
-
id: 62795854
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 666, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '666.9', 'subgroup_hash': 9, 'subgroup_order': 666, 'subgroup_tex': 'C_{111}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 62795855
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 666, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '666.7', 'subgroup_hash': 7, 'subgroup_order': 666, 'subgroup_tex': 'C_{37}:C_{18}', 'supersolvable': True, 'sylow': 0}
-
id: 62795856
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 592, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 74, 'label': '15984.a.27.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '27.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '27.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 27, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_9', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '592.30', 'subgroup_hash': 30, 'subgroup_order': 592, 'subgroup_tex': 'C_{148}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 62795857
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 444, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.36.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '444.15', 'subgroup_hash': 15, 'subgroup_order': 444, 'subgroup_tex': 'C_3\\times D_{74}', 'supersolvable': True, 'sylow': 0}
-
id: 62795859
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 444, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.36.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '444.8', 'subgroup_hash': 8, 'subgroup_order': 444, 'subgroup_tex': 'C_{74}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 62795860
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 444, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.36.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '444.8', 'subgroup_hash': 8, 'subgroup_order': 444, 'subgroup_tex': 'C_{74}:C_6', 'supersolvable': True, 'sylow': 0}
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id: 62795861
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 444, 'characteristic': True, 'core_order': 444, 'counter': 42, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '15984.a.36.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{36}', 'simple': False, 'solvable': True, 'special_labels': ['F', 'C4', 'F', 'C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '444.6', 'subgroup_hash': 6, 'subgroup_order': 444, 'subgroup_tex': 'C_{444}', 'supersolvable': True, 'sylow': 0}
-
id: 62795862
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 444, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.36.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '444.4', 'subgroup_hash': 4, 'subgroup_order': 444, 'subgroup_tex': 'C_{111}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 62795863
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 444, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.36.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '444.2', 'subgroup_hash': 2, 'subgroup_order': 444, 'subgroup_tex': 'C_{148}:C_3', 'supersolvable': True, 'sylow': 0}
-
id: 62795864
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 444, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.36.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '444.1', 'subgroup_hash': 1, 'subgroup_order': 444, 'subgroup_tex': 'C_{37}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795865
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 444, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.36.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.8', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '444.2', 'subgroup_hash': 2, 'subgroup_order': 444, 'subgroup_tex': 'C_{148}:C_3', 'supersolvable': True, 'sylow': 0}
-
id: 62795866
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 444, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.36.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.8', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '444.1', 'subgroup_hash': 1, 'subgroup_order': 444, 'subgroup_tex': 'C_{37}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795867
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 444, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.36.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '444.9', 'subgroup_hash': 9, 'subgroup_order': 444, 'subgroup_tex': 'C_{111}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 62795868
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 444, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.36.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '444.7', 'subgroup_hash': 7, 'subgroup_order': 444, 'subgroup_tex': 'C_{37}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795870
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 444, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.36.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.8', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '444.7', 'subgroup_hash': 7, 'subgroup_order': 444, 'subgroup_tex': 'C_{37}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795871
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 12, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '15984.a.37.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '37.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 37, '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': '432.200', 'subgroup_hash': 200, 'subgroup_order': 432, 'subgroup_tex': 'C_{12}\\times C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 62795872
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 333, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '333.4', 'subgroup_hash': 4, 'subgroup_order': 333, 'subgroup_tex': 'C_{111}:C_3', 'supersolvable': True, 'sylow': 0}
-
id: 62795873
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 333, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '333.3', 'subgroup_hash': 3, 'subgroup_order': 333, 'subgroup_tex': 'C_{37}:C_9', 'supersolvable': True, 'sylow': 0}
-
id: 62795874
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 296, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.54.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '54.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '54.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '296.5', 'subgroup_hash': 5, 'subgroup_order': 296, 'subgroup_tex': 'C_4\\times D_{37}', 'supersolvable': True, 'sylow': 0}
-
id: 62795875
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 296, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.54.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '54.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '54.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '296.12', 'subgroup_hash': 12, 'subgroup_order': 296, 'subgroup_tex': 'C_{74}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 62795876
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 444, 'characteristic': True, 'core_order': 222, 'counter': 56, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '15984.a.72.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{36}', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C5', 'S', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '222.6', 'subgroup_hash': 6, 'subgroup_order': 222, 'subgroup_tex': 'C_{222}', 'supersolvable': True, 'sylow': 0}
-
id: 62795877
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 222, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.72.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '222.2', 'subgroup_hash': 2, 'subgroup_order': 222, 'subgroup_tex': 'C_{37}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 62795878
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 222, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.72.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.36', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '222.2', 'subgroup_hash': 2, 'subgroup_order': 222, 'subgroup_tex': 'C_{37}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 62795879
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 222, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.72.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '222.4', 'subgroup_hash': 4, 'subgroup_order': 222, 'subgroup_tex': 'C_3\\times D_{37}', 'supersolvable': True, 'sylow': 0}
-
id: 62795881
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 222, 'counter': 60, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.72.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '222.1', 'subgroup_hash': 1, 'subgroup_order': 222, 'subgroup_tex': 'C_{37}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 62795882
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 222, 'counter': 61, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.72.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.36', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '222.1', 'subgroup_hash': 1, 'subgroup_order': 222, 'subgroup_tex': 'C_{37}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 62795883
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 12, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.74.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '74.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 74, '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': '216.73', 'subgroup_hash': 73, 'subgroup_order': 216, 'subgroup_tex': 'C_6\\times C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 62795884
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 6, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.74.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '74.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 74, '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': '216.73', 'subgroup_hash': 73, 'subgroup_order': 216, 'subgroup_tex': 'C_6\\times C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 62795885
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 148, 'counter': 64, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.108.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '108.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '108.29', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 29, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 108, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '148.4', 'subgroup_hash': 4, 'subgroup_order': 148, 'subgroup_tex': 'D_{74}', 'supersolvable': True, 'sylow': 0}
-
id: 62795886
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 444, 'characteristic': True, 'core_order': 148, 'counter': 65, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '15984.a.108.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '108.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '108.12', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 108, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '148.2', 'subgroup_hash': 2, 'subgroup_order': 148, 'subgroup_tex': 'C_{148}', 'supersolvable': True, 'sylow': 0}
-
id: 62795887
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 148, 'counter': 66, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.108.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '108.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '108.12', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 108, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '148.1', 'subgroup_hash': 1, 'subgroup_order': 148, 'subgroup_tex': 'C_{37}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 62795888
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 148, 'counter': 67, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.108.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '108.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '108.12', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 108, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '148.3', 'subgroup_hash': 3, 'subgroup_order': 148, 'subgroup_tex': 'C_{37}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 62795889
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 12, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.111.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '111.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 111, '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': '144.101', 'subgroup_hash': 101, 'subgroup_order': 144, 'subgroup_tex': 'C_{12}^2', 'supersolvable': True, 'sylow': 0}
-
id: 62795890
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 4, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.111.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '111.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 111, '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': '144.20', 'subgroup_hash': 20, 'subgroup_order': 144, 'subgroup_tex': 'C_4\\times C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 62795892
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 444, 'characteristic': True, 'core_order': 111, 'counter': 70, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '15984.a.144.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{36}', 'simple': False, 'solvable': True, 'special_labels': ['C6', 'C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '111.2', 'subgroup_hash': 2, 'subgroup_order': 111, 'subgroup_tex': 'C_{111}', 'supersolvable': True, 'sylow': 0}
-
id: 62795893
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 111, 'counter': 71, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.144.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '144.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '111.1', 'subgroup_hash': 1, 'subgroup_order': 111, 'subgroup_tex': 'C_{37}:C_3', 'supersolvable': True, 'sylow': 0}
-
id: 62795894
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 111, 'counter': 72, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.144.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '144.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.101', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 101, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '111.1', 'subgroup_hash': 1, 'subgroup_order': 111, 'subgroup_tex': 'C_{37}:C_3', 'supersolvable': True, 'sylow': 0}
-
id: 62795895
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 6, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.148.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '148.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 148, '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': '108.29', 'subgroup_hash': 29, 'subgroup_order': 108, 'subgroup_tex': 'C_6\\times C_{18}', 'supersolvable': True, 'sylow': 0}
-
id: 62795896
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 12, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.148.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '148.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 148, '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': '108.12', 'subgroup_hash': 12, 'subgroup_order': 108, 'subgroup_tex': 'C_3\\times C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 62795897
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 6, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.148.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '148.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 148, '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': '108.12', 'subgroup_hash': 12, 'subgroup_order': 108, 'subgroup_tex': 'C_3\\times C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 62795898
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 3, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.148.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '148.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 148, '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': '108.12', 'subgroup_hash': 12, 'subgroup_order': 108, 'subgroup_tex': 'C_3\\times C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 62795899
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 444, 'characteristic': True, 'core_order': 74, 'counter': 77, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '15984.a.216.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '216.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '216.73', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 73, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 216, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '74.2', 'subgroup_hash': 2, 'subgroup_order': 74, 'subgroup_tex': 'C_{74}', 'supersolvable': True, 'sylow': 0}
-
id: 62795900
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 74, 'counter': 78, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '15984.a.216.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '216.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '216.73', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 73, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 216, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times C_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '74.1', 'subgroup_hash': 1, 'subgroup_order': 74, 'subgroup_tex': 'D_{37}', 'supersolvable': True, 'sylow': 0}
-
id: 62795901
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 12, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.222.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '222.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 222, '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': '72.36', 'subgroup_hash': 36, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795903
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 6, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.222.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '222.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 222, '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': '72.36', 'subgroup_hash': 36, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795904
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 4, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.222.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '222.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 222, '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': '72.9', 'subgroup_hash': 9, 'subgroup_order': 72, 'subgroup_tex': 'C_2\\times C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 62795905
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 2, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.222.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '222.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 222, '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': '72.9', 'subgroup_hash': 9, 'subgroup_order': 72, 'subgroup_tex': 'C_2\\times C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 62795906
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 6, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.296.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '296.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 296, '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': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
-
id: 62795907
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 3, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.296.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '296.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 296, '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': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
-
id: 62795908
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 12, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.333.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '333.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 333, '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': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795909
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 4, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.333.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '333.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 333, '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': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795910
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 4, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.333.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '333.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 333, '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': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795911
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 444, 'characteristic': True, 'core_order': 37, 'counter': 88, 'cyclic': True, 'direct': False, 'hall': 37, 'label': '15984.a.432.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '432.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '432.200', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 200, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 432, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times C_{36}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C7', 'D', 'L1', 'D1', 'C7'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '37.1', 'subgroup_hash': 1, 'subgroup_order': 37, 'subgroup_tex': 'C_{37}', 'supersolvable': True, 'sylow': 37}
-
id: 62795912
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 6, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.444.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '444.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 444, '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': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
-
id: 62795914
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 2, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.444.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '444.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 444, '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': '36.5', 'subgroup_hash': 5, 'subgroup_order': 36, 'subgroup_tex': 'C_2\\times C_{18}', 'supersolvable': True, 'sylow': 0}
-
id: 62795915
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 12, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.444.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '444.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 444, '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': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795916
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 6, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.444.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '444.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 444, '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': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795917
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 4, 'counter': 93, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.444.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '444.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 444, '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': '36.2', 'subgroup_hash': 2, 'subgroup_order': 36, 'subgroup_tex': 'C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 62795918
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 2, 'counter': 94, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.444.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '444.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 444, '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': '36.2', 'subgroup_hash': 2, 'subgroup_order': 36, 'subgroup_tex': 'C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 62795919
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 3, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.444.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '444.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 444, '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': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795920
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 1, 'counter': 96, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.444.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '444.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 444, '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': '36.2', 'subgroup_hash': 2, 'subgroup_order': 36, 'subgroup_tex': 'C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 62795921
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 3, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '15984.a.592.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '592.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 592, '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': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 3}
-
id: 62795922
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 12, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.666.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '666.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 666, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795923
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 6, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.666.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '666.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 666, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795786
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 4, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.666.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '666.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 666, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795787
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 2, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.666.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '666.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 666, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795788
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 4, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.666.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '666.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 666, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795789
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 2, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.666.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '666.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 666, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795790
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 6, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.888.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '888.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 888, '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': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 62795791
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 2, 'counter': 105, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.888.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '888.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 888, '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': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
-
id: 62795792
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 3, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.888.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '888.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 888, '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': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 62795793
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 1, 'counter': 107, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.888.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '888.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 888, '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': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
-
id: 62795794
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 4, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '15984.a.999.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '999.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 999, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 2}
-
id: 62795795
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': True, 'central_factor': False, 'centralizer_order': 15984, 'characteristic': True, 'core_order': 12, 'counter': 109, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '15984.a.1332.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1332.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1332.31', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1332, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'F_{37}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0', 'Z', 'U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795797
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 6, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.1332.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1332.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1332, '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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 62795798
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 2, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.1332.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1332.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1332, '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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 62795799
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 2, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.1332.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1332.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1332, '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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 62795800
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 6, 'counter': 113, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.1332.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1332.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1332, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795801
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 4, 'counter': 114, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.1332.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1332.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1332, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795802
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 2, 'counter': 115, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.1332.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1332.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1332, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795803
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 4, 'counter': 116, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.1332.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1332.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1332, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795804
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 2, 'counter': 117, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.1332.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1332.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1332, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795805
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 3, 'counter': 118, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.1332.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1332.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1332, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795806
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 1, 'counter': 119, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.1332.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1332.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1332, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795808
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 1, 'counter': 120, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.1332.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1332.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1332, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 62795809
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 3, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.1776.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1776.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1776, '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': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
-
id: 62795810
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 1, 'counter': 122, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.1776.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1776.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1776, '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': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
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id: 62795811
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 4, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.1998.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1998.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1998, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 62795812
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 2, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.1998.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1998.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1998, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 62795813
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': True, 'central_factor': False, 'centralizer_order': 15984, 'characteristic': True, 'core_order': 6, 'counter': 125, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '15984.a.2664.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2664.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2664.b', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7967020058022097167, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 2664, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_{37}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 62795814
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 2, 'counter': 126, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.2664.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2664.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2664, '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': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 62795815
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 2, 'counter': 127, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.2664.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2664.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2664, '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': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 62795816
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 3, 'counter': 128, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.2664.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2664.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2664, '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': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 62795817
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 1, 'counter': 129, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.2664.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2664.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2664, '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': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 62795819
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 1, 'counter': 130, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.2664.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2664.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2664, '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': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 62795820
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': True, 'central_factor': False, 'centralizer_order': 15984, 'characteristic': True, 'core_order': 4, 'counter': 131, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '15984.a.3996.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3996.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3996.a', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7140269462563034978, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 3996, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times F_{37}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 62795821
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 2, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15984.a.3996.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3996.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3996, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 62795822
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 2, 'counter': 133, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.3996.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3996.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3996, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 62795823
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 1, 'counter': 134, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.3996.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3996.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3996, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 62795824
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': True, 'central_factor': False, 'centralizer_order': 15984, 'characteristic': True, 'core_order': 3, 'counter': 135, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '15984.a.5328.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '5328.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '5328.a', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6895881831525668864, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 5328, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times F_{37}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
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id: 62795825
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 1, 'counter': 136, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.5328.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5328.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5328, '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': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
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id: 62795826
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 1, 'counter': 137, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.5328.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5328.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5328, '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': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
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id: 62795827
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': True, 'central_factor': False, 'centralizer_order': 15984, 'characteristic': True, 'core_order': 2, 'counter': 138, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '15984.a.7992.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '7992.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '7992.a', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4043671337061785560, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 7992, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times F_{37}', 'simple': True, 'solvable': True, 'special_labels': ['Phi', '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: 62795828
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 1, 'counter': 139, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '15984.a.7992.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '7992.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7992, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 62795830
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15984.a', 'ambient_counter': 1, 'ambient_order': 15984, 'ambient_tex': 'C_{12}\\times F_{37}', 'central': True, 'central_factor': False, 'centralizer_order': 15984, 'characteristic': True, 'core_order': 1, 'counter': 140, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '15984.a.15984.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '15984.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '15984.a', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1147931464434849270, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 15984, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times F_{37}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D2', 'C8', 'PC', 'U1', 'D2', 'C8'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
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id: 62795784
{'ambient': '15984.a', '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': '1332.a1', 'complements': ['15984.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '3.a1', '3.b1', '37.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4764, 4051, 6428, 4902], 'generators': [18, 432, 12, 7992, 5328, 9, 3996, 4], 'label': '15984.a.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '3.a1', '3.b1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
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id: 62795785
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '6.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.c1', '12.d1', '18.a1', '18.c1', '18.e1', '222.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3877, 2487, 5158, 7680], 'generators': [5328, 7992, 432, 12, 3996, 18], 'label': '15984.a.6.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['12.a1', '12.c1', '12.d1', '18.a1', '18.c1', '18.e1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
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id: 62795786
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '666.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.c1', '222.a1', '333.b1'], 'contains': ['1332.c1', '1332.f1', '1332.g1', '1998.a1'], 'core': '3996.a1', 'coset_action_label': None, 'count': 74, 'diagramx': [5517, -1, 5615, -1], 'generators': [3996, 882, 1452, 7992], 'label': '15984.a.666.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '666.c1', 'projective_image': '3996.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '666.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 62795787
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '666.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.d1', '222.b1', '333.b1'], 'contains': ['1332.c1', '1332.k1', '1998.b1'], 'core': '7992.a1', 'coset_action_label': None, 'count': 148, 'diagramx': [9296, -1, 8688, -1], 'generators': [7911, 7992, 600, 4554], 'label': '15984.a.666.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '666.d1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '666.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 62795788
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '666.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.e1', '222.a1', '222.c1', '333.c1'], 'contains': ['1332.d1', '1332.h1', '1332.i1', '1998.a1'], 'core': '3996.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [3937, -1, 4983, -1], 'generators': [3996, 18, 12, 7992], 'label': '15984.a.666.e1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '18.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '666.e1', 'projective_image': '3996.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '666.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 62795789
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '666.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.f1', '222.b1', '222.d1', '333.c1'], 'contains': ['1332.d1', '1332.l1', '1998.b1'], 'core': '7992.a1', 'coset_action_label': None, 'count': 74, 'diagramx': [6876, -1, 7756, -1], 'generators': [7911, 7992, 15564, 4554], 'label': '15984.a.666.f1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '18.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '666.f1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '666.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795790
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '888.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '296.a1', '444.a1', '444.c1', '444.d1'], 'contains': ['1776.a1', '2664.a1', '2664.b1', '2664.c1'], 'core': '2664.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [1929, -1, 2679, -1], 'generators': [7992, 5328, 12], 'label': '15984.a.888.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '888.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '888.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 62795791
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '888.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['24.b1', '296.a1', '444.b1', '444.e1', '444.f1'], 'contains': ['1776.b1', '2664.c1'], 'core': '7992.a1', 'coset_action_label': None, 'count': 111, 'diagramx': [1173, -1, 834, -1], 'generators': [7992, 292, 444], 'label': '15984.a.888.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '888.b1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '888.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795792
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '888.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.c1', '296.b1', '444.a1', '444.g1'], 'contains': ['1776.a1', '2664.d1', '2664.e1', '2664.f1'], 'core': '5328.a1', 'coset_action_label': None, 'count': 74, 'diagramx': [5917, -1, 5821, -1], 'generators': [8010, 5328, 12], 'label': '15984.a.888.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '888.c1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '888.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795793
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '888.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['24.d1', '296.b1', '444.b1', '444.h1'], 'contains': ['1776.b1', '2664.f1'], 'core': '15984.a1', 'coset_action_label': None, 'count': 222, 'diagramx': [2560, -1, 4736, -1], 'generators': [8010, 4, 12], 'label': '15984.a.888.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '888.d1', 'projective_image': '15984.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '888.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795794
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '999.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.a1', '333.a1', '333.b1', '333.c1'], 'contains': ['1998.a1', '1998.b1'], 'core': '3996.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [7615, -1, 8183, -1], 'generators': [9, 3996], 'label': '15984.a.999.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '27.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '999.a1', 'projective_image': '3996.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '999.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795795
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '1332.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['12.h1'], 'conjugacy_class_count': 1, 'contained_in': ['36.d1', '444.c1', '666.a1'], 'contains': ['2664.a1', '3996.a1'], 'core': '1332.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3207, 2053, 4068, 8370], 'generators': [3996, 5328, 7992], 'label': '15984.a.1332.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '1332.a1', 'normal_contained_in': ['36.d1'], 'normal_contains': ['2664.a1', '3996.a1'], 'normalizer': '1.a1', 'old_label': '1332.a1', 'projective_image': '1332.31', 'quotient_action_image': '1.1', 'quotient_action_kernel': '1332.31', 'quotient_action_kernel_order': 1332, 'quotient_fusion': None, 'short_label': '1332.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795796
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.a1', '12.g1', '18.b1', '18.d1', '18.f1', '222.b1'], 'core': '6.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8564, 5441, 8654, 3819], 'generators': [5328, 4554, 432, 12, 7992, 7911], 'label': '15984.a.6.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1', 'normal_contained_in': ['2.b1', '3.a1'], 'normal_contains': ['12.a1', '12.g1', '18.b1', '18.d1', '18.f1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795797
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '1332.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.a1', '444.a1', '666.a1', '666.b1'], 'contains': ['2664.a1', '2664.d1', '3996.b1'], 'core': '2664.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [6318, -1, 6460, -1], 'generators': [18, 7992, 5328], 'label': '15984.a.1332.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '1332.b1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1332.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795798
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '1332.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['36.b1', '444.a1', '666.c1', '666.d1'], 'contains': ['2664.b1', '2664.e1', '3996.b1'], 'core': '7992.a1', 'coset_action_label': None, 'count': 74, 'diagramx': [7272, -1, 6061, -1], 'generators': [882, 7992, 1452], 'label': '15984.a.1332.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '1332.c1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1332.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795799
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '1332.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.c1', '444.a1', '444.b1', '666.e1', '666.f1'], 'contains': ['2664.c1', '2664.f1', '3996.b1'], 'core': '7992.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [4280, -1, 5130, -1], 'generators': [18, 7992, 12], 'label': '15984.a.1332.d1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '36.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '1332.d1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1332.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795800
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '1332.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.e1', '444.d1', '666.a1'], 'contains': ['2664.a1', '3996.c1'], 'core': '2664.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [3792, -1, 3913, -1], 'generators': [7902, 5328, 7992], 'label': '15984.a.1332.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '1332.e1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1332.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795801
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '1332.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['36.f1', '444.c1', '666.c1'], 'contains': ['2664.b1', '3996.a1'], 'core': '3996.a1', 'coset_action_label': None, 'count': 74, 'diagramx': [4959, -1, 3374, -1], 'generators': [3996, 14424, 7992], 'label': '15984.a.1332.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '1332.f1', 'projective_image': '3996.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1332.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795802
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '1332.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['36.g1', '444.d1', '666.c1'], 'contains': ['2664.b1', '3996.c1'], 'core': '7992.a1', 'coset_action_label': None, 'count': 74, 'diagramx': [5687, -1, 3219, -1], 'generators': [13518, 14424, 7992], 'label': '15984.a.1332.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '1332.g1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1332.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795803
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '1332.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.h1', '444.c1', '444.e1', '666.e1'], 'contains': ['2664.c1', '3996.a1'], 'core': '3996.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [2041, -1, 2140, -1], 'generators': [3996, 12, 7992], 'label': '15984.a.1332.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '1332.h1', 'projective_image': '3996.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1332.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795804
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '1332.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.i1', '444.d1', '444.f1', '666.e1'], 'contains': ['2664.c1', '3996.c1'], 'core': '7992.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [3004, -1, 1984, -1], 'generators': [4014, 12, 7992], 'label': '15984.a.1332.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '1332.i1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1332.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795805
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '1332.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.j1', '444.g1', '666.b1'], 'contains': ['2664.d1', '3996.d1'], 'core': '5328.a1', 'coset_action_label': None, 'count': 148, 'diagramx': [8453, -1, 8767, -1], 'generators': [243, 5328, 6930], 'label': '15984.a.1332.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '1332.j1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1332.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795806
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '1332.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['36.k1', '444.g1', '666.d1'], 'contains': ['2664.e1', '3996.d1'], 'core': '15984.a1', 'coset_action_label': None, 'count': 296, 'diagramx': [9210, -1, 8400, -1], 'generators': [117, 1896, 12762], 'label': '15984.a.1332.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '1332.k1', 'projective_image': '15984.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1332.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795807
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '3.b1'], 'contains': ['12.b1', '12.e1', '12.f1', '18.e1', '222.c1'], 'core': '6.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [1522, 3572, 3630, 4440], 'generators': [7992, 8220, 432, 148, 3996, 18], 'label': '15984.a.6.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.c1', 'normal_contained_in': ['2.a1', '3.b1'], 'normal_contains': ['12.b1', '12.e1', '12.f1', '18.e1'], 'normalizer': '1.a1', 'old_label': '6.c1', 'projective_image': '3996.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795808
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '1332.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.l1', '444.g1', '444.h1', '666.f1'], 'contains': ['2664.f1', '3996.d1'], 'core': '15984.a1', 'coset_action_label': None, 'count': 148, 'diagramx': [6926, -1, 7882, -1], 'generators': [9, 12, 18], 'label': '15984.a.1332.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '1332.l1', 'projective_image': '15984.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1332.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795809
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '1776.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '592.a1', '888.a1', '888.c1'], 'contains': ['5328.a1', '5328.b1', '5328.c1'], 'core': '5328.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [1254, -1, 3149, -1], 'generators': [5328, 12], 'label': '15984.a.1776.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '1776.a1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1776.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795810
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '1776.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['48.b1', '592.a1', '888.b1', '888.d1'], 'contains': ['5328.c1'], 'core': '15984.a1', 'coset_action_label': None, 'count': 111, 'diagramx': [591, -1, 1787, -1], 'generators': [4], 'label': '15984.a.1776.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '1776.b1', 'projective_image': '15984.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1776.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795811
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '1998.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.a1', '666.a1', '666.c1', '666.e1', '999.a1'], 'contains': ['3996.a1', '3996.b1', '3996.c1'], 'core': '3996.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [5035, -1, 5581, -1], 'generators': [3996, 18], 'label': '15984.a.1998.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '1998.a1', 'projective_image': '3996.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1998.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795812
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '1998.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['54.b1', '666.b1', '666.d1', '666.f1', '999.a1'], 'contains': ['3996.b1', '3996.d1'], 'core': '7992.a1', 'coset_action_label': None, 'count': 74, 'diagramx': [8598, -1, 8202, -1], 'generators': [9, 7992], 'label': '15984.a.1998.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '1998.b1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1998.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795813
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '2664.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['72.a1', '888.a1', '1332.a1', '1332.b1', '1332.e1'], 'contains': ['5328.a1', '7992.a1'], 'core': '2664.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2965, 3100, 4133, 6015], 'generators': [7992, 5328], 'label': '15984.a.2664.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '2664.a1', 'normal_contained_in': ['72.a1', '1332.a1'], 'normal_contains': ['5328.a1', '7992.a1'], 'normalizer': '1.a1', 'old_label': '2664.a1', 'projective_image': '2664.b', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2664.b', 'quotient_action_kernel_order': 2664, 'quotient_fusion': None, 'short_label': '2664.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795814
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '2664.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.b1', '888.a1', '1332.c1', '1332.f1', '1332.g1'], 'contains': ['5328.b1', '7992.a1'], 'core': '7992.a1', 'coset_action_label': None, 'count': 74, 'diagramx': [5804, -1, 3851, -1], 'generators': [7992, 14424], 'label': '15984.a.2664.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '72.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '2664.b1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2664.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795815
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '2664.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.c1', '888.a1', '888.b1', '1332.d1', '1332.h1', '1332.i1'], 'contains': ['5328.c1', '7992.a1'], 'core': '7992.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [1818, -1, 2533, -1], 'generators': [7992, 12], 'label': '15984.a.2664.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '72.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '2664.c1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2664.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795816
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '2664.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.d1', '888.c1', '1332.b1', '1332.j1'], 'contains': ['5328.a1', '7992.b1'], 'core': '5328.a1', 'coset_action_label': None, 'count': 74, 'diagramx': [6403, -1, 6431, -1], 'generators': [234, 5328], 'label': '15984.a.2664.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '2664.d1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2664.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795817
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '2664.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['72.e1', '888.c1', '1332.c1', '1332.k1'], 'contains': ['5328.b1', '7992.b1'], 'core': '15984.a1', 'coset_action_label': None, 'count': 148, 'diagramx': [7431, -1, 6132, -1], 'generators': [882, 1452], 'label': '15984.a.2664.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '72.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '2664.e1', 'projective_image': '15984.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2664.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795818
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['2.b1', '3.b1'], 'contains': ['12.b1', '12.h1', '18.f1', '222.d1'], 'core': '6.d1', 'coset_action_label': None, 'count': 6, 'diagramx': [4897, 6604, 6405, 2568], 'generators': [4554, 8220, 432, 148, 7992, 7911], 'label': '15984.a.6.d1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.d1', 'normal_contained_in': ['2.b1', '3.b1'], 'normal_contains': ['12.b1', '12.h1', '18.f1'], 'normalizer': '1.a1', 'old_label': '6.d1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795819
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '2664.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.f1', '888.c1', '888.d1', '1332.d1', '1332.l1'], 'contains': ['5328.c1', '7992.b1'], 'core': '15984.a1', 'coset_action_label': None, 'count': 74, 'diagramx': [4499, -1, 5355, -1], 'generators': [18, 12], 'label': '15984.a.2664.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '72.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '2664.f1', 'projective_image': '15984.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2664.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795820
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '3996.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['4.d1'], 'conjugacy_class_count': 1, 'contained_in': ['108.b1', '1332.a1', '1332.f1', '1332.h1', '1998.a1'], 'contains': ['7992.a1'], 'core': '3996.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3705, 2275, 3724, 8090], 'generators': [3996], 'label': '15984.a.3996.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '3996.a1', 'normal_contained_in': ['108.b1', '1332.a1'], 'normal_contains': ['7992.a1'], 'normalizer': '1.a1', 'old_label': '3996.a1', 'projective_image': '3996.a', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3996.a', 'quotient_action_kernel_order': 3996, 'quotient_fusion': None, 'short_label': '3996.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795821
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '3996.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.a1', '1332.b1', '1332.c1', '1332.d1', '1998.a1', '1998.b1'], 'contains': ['7992.a1', '7992.b1'], 'core': '7992.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [6869, -1, 5996, -1], 'generators': [18, 7992], 'label': '15984.a.3996.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '108.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '3996.b1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3996.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795822
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '3996.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.c1', '1332.e1', '1332.g1', '1332.i1', '1998.a1'], 'contains': ['7992.a1'], 'core': '7992.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [4677, -1, 3570, -1], 'generators': [7902], 'label': '15984.a.3996.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '108.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '3996.c1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3996.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795823
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '3996.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['108.d1', '1332.j1', '1332.k1', '1332.l1', '1998.b1'], 'contains': ['7992.b1'], 'core': '15984.a1', 'coset_action_label': None, 'count': 148, 'diagramx': [8969, -1, 8301, -1], 'generators': [9], 'label': '15984.a.3996.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '3996.d1', 'projective_image': '15984.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3996.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795824
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '5328.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['3.b1'], 'conjugacy_class_count': 1, 'contained_in': ['144.a1', '1776.a1', '2664.a1', '2664.d1'], 'contains': ['15984.a1'], 'core': '5328.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1683, 5205, 4398, 4452], 'generators': [5328], 'label': '15984.a.5328.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '5328.a1', 'normal_contained_in': ['144.a1', '2664.a1'], 'normal_contains': ['15984.a1'], 'normalizer': '1.a1', 'old_label': '5328.a1', 'projective_image': '5328.a', 'quotient_action_image': '1.1', 'quotient_action_kernel': '5328.a', 'quotient_action_kernel_order': 5328, 'quotient_fusion': None, 'short_label': '5328.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795825
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '5328.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.b1', '1776.a1', '2664.b1', '2664.e1'], 'contains': ['15984.a1'], 'core': '15984.a1', 'coset_action_label': None, 'count': 74, 'diagramx': [6205, -1, 4115, -1], 'generators': [1452], 'label': '15984.a.5328.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '72.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '5328.b1', 'projective_image': '15984.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5328.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795826
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '5328.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.c1', '1776.a1', '1776.b1', '2664.c1', '2664.f1'], 'contains': ['15984.a1'], 'core': '15984.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [1210, -1, 3060, -1], 'generators': [12], 'label': '15984.a.5328.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '144.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '5328.c1', 'projective_image': '15984.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5328.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795827
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '7992.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['216.a1', '2664.a1', '2664.b1', '2664.c1', '3996.a1', '3996.b1', '3996.c1'], 'contains': ['15984.a1'], 'core': '7992.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4326, 3703, 3897, 5892], 'generators': [7992], 'label': '15984.a.7992.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '7992.a1', 'normal_contained_in': ['216.a1', '2664.a1', '3996.a1'], 'normal_contains': ['15984.a1'], 'normalizer': '1.a1', 'old_label': '7992.a1', 'projective_image': '7992.a', 'quotient_action_image': '1.1', 'quotient_action_kernel': '7992.a', 'quotient_action_kernel_order': 7992, 'quotient_fusion': None, 'short_label': '7992.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795828
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '7992.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['216.b1', '2664.d1', '2664.e1', '2664.f1', '3996.b1', '3996.d1'], 'contains': ['15984.a1'], 'core': '15984.a1', 'coset_action_label': None, 'count': 74, 'diagramx': [6869, -1, 6132, -1], 'generators': [18], 'label': '15984.a.7992.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '108.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '7992.b1', 'projective_image': '15984.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7992.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795829
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1'], 'contains': ['16.a1', '24.a1', '24.b1', '296.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [722, 7549, 2339, 3195], 'generators': [12, 432, 5328, 4, 7992], 'label': '15984.a.8.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1'], 'normal_contains': ['16.a1', '24.a1', '24.b1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795830
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '15984.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['432.a1', '5328.a1', '5328.b1', '5328.c1', '7992.a1', '7992.b1'], 'contains': [], 'core': '15984.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5043, 5205, 4186, 4452], 'generators': [], 'label': '15984.a.15984.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '15984.a1', 'normal_contained_in': ['432.a1', '5328.a1', '7992.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '15984.a1', 'projective_image': '15984.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15984.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795831
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.d1'], 'contains': ['16.a1', '24.c1', '24.d1', '296.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [2208, 8810, 4477, 705], 'generators': [12, 432, 5328, 4, 234], 'label': '15984.a.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.d1'], 'normal_contains': ['16.a1', '24.c1', '24.d1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795832
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['1776.b1'], 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['18.a1', '18.b1', '27.a1', '333.a1'], 'core': '9.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7841, 738, 8195, 8343], 'generators': [18, 7992, 432, 5328, 3996, 9], 'label': '15984.a.9.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '9.a1', 'normal_contained_in': ['3.a1'], 'normal_contains': ['18.a1', '18.b1', '27.a1'], 'normalizer': '1.a1', 'old_label': '9.a1', 'projective_image': '1332.31', 'quotient_action_image': '9.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '9.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795833
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '9.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['1776.b1'], 'conjugacy_class_count': 2, 'contained_in': ['3.a1'], 'contains': ['18.c1', '18.d1', '27.a1', '333.b1'], 'core': '9.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8317, 1468, 7830, 7059], 'generators': [18, 7992, 432, 15852, 3996, 9], 'label': '15984.a.9.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '9.b1', 'normal_contained_in': ['3.a1'], 'normal_contains': ['18.c1', '18.d1', '27.a1'], 'normalizer': '1.a1', 'old_label': '9.b1', 'projective_image': '3996.a', 'quotient_action_image': '9.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '9.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795834
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '9.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '3.b1'], 'contains': ['18.e1', '18.f1', '27.a1', '333.c1'], 'core': '9.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [7274, 2420, 7294, 5061], 'generators': [18, 7992, 432, 12, 3996, 9], 'label': '15984.a.9.c1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.c1', 'normal_contained_in': ['3.a1', '3.b1'], 'normal_contains': ['18.e1', '18.f1', '27.a1'], 'normalizer': '1.a1', 'old_label': '9.c1', 'projective_image': '3996.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.c1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795835
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '12.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '6.a1', '6.b1'], 'contains': ['24.a1', '24.c1', '36.a1', '36.b1', '36.c1', '444.a1'], 'core': '12.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6090, 5441, 6154, 4404], 'generators': [5328, 432, 12, 7992, 18], 'label': '15984.a.12.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1', '6.b1'], 'normal_contains': ['24.a1', '24.c1', '36.a1', '36.b1', '36.c1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795836
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.c1', '6.a1', '6.c1', '74.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2401, 4302, 3969, 5523], 'generators': [5328, 7992, 12, 4, 3996, 18, 432], 'label': '15984.a.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.c1', '6.a1', '6.c1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795837
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.a1', '6.c1', '6.d1'], 'contains': ['24.b1', '24.d1', '36.c1', '444.b1'], 'core': '12.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [1770, 6956, 3800, 1947], 'generators': [444, 432, 292, 7992, 18], 'label': '15984.a.12.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.b1', 'normal_contained_in': ['4.a1', '6.c1', '6.d1'], 'normal_contains': ['24.b1', '24.d1', '36.c1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795838
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '6.a1'], 'contains': ['24.a1', '36.d1', '36.f1', '36.h1', '444.c1'], 'core': '12.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3069, 2737, 3122, 9122], 'generators': [7992, 432, 5328, 12, 3996], 'label': '15984.a.12.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': ['4.b1', '6.a1'], 'normal_contains': ['24.a1', '36.d1', '36.f1', '36.h1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795839
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '6.a1'], 'contains': ['24.a1', '36.e1', '36.g1', '36.i1', '444.d1'], 'core': '12.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [3577, 3516, 2732, 7881], 'generators': [7992, 432, 5328, 12, 7902], 'label': '15984.a.12.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': ['4.c1', '6.a1'], 'normal_contains': ['24.a1', '36.e1', '36.g1', '36.i1'], 'normalizer': '1.a1', 'old_label': '12.d1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795840
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['1332.j1', '1332.k1'], 'conjugacy_class_count': 3, 'contained_in': ['4.b1', '6.c1'], 'contains': ['24.b1', '36.h1', '444.e1'], 'core': '12.e1', 'coset_action_label': None, 'count': 3, 'diagramx': [570, 4436, 1367, 6051], 'generators': [8220, 432, 7992, 148, 3996], 'label': '15984.a.12.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': ['4.b1', '6.c1'], 'normal_contains': ['24.b1', '36.h1'], 'normalizer': '1.a1', 'old_label': '12.e1', 'projective_image': '3996.a', 'quotient_action_image': '4.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.e1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795841
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['1332.j1', '1332.k1'], 'conjugacy_class_count': 3, 'contained_in': ['4.c1', '6.c1'], 'contains': ['24.b1', '36.i1', '444.f1'], 'core': '12.f1', 'coset_action_label': None, 'count': 3, 'diagramx': [1084, 6174, 1041, 5496], 'generators': [444, 432, 7992, 292, 7902], 'label': '15984.a.12.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.f1', 'normal_contained_in': ['4.c1', '6.c1'], 'normal_contains': ['24.b1', '36.i1'], 'normalizer': '1.a1', 'old_label': '12.f1', 'projective_image': '7992.a', 'quotient_action_image': '4.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.f1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795842
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.d1', '6.b1'], 'contains': ['24.c1', '36.j1', '36.k1', '36.l1', '444.g1'], 'core': '12.g1', 'coset_action_label': None, 'count': 4, 'diagramx': [8840, 7957, 9065, 1326], 'generators': [6930, 432, 5328, 12, 243], 'label': '15984.a.12.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.g1', 'normal_contained_in': ['4.d1', '6.b1'], 'normal_contains': ['24.c1', '36.j1', '36.k1', '36.l1'], 'normalizer': '1.a1', 'old_label': '12.g1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795843
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['1332.a1', '1332.f1', '1332.e1', '1332.g1', '1332.j1', '1332.k1'], 'conjugacy_class_count': 12, 'contained_in': ['4.d1', '6.d1'], 'contains': ['24.d1', '36.l1', '444.h1'], 'core': '12.h1', 'coset_action_label': None, 'count': 12, 'diagramx': [5041, 8454, 6691, 243], 'generators': [12, 432, 6930, 4, 243], 'label': '15984.a.12.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.h1', 'normal_contained_in': ['4.d1', '6.d1'], 'normal_contains': ['24.d1', '36.l1'], 'normalizer': '1.a1', 'old_label': '12.h1', 'projective_image': '15984.a', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.h1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795844
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['999.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1'], 'contains': ['48.a1', '48.b1', '592.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [906, 9550, 1177, 1107], 'generators': [4, 5328, 432, 12], 'label': '15984.a.16.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1'], 'normal_contains': ['48.a1', '48.b1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '5328.a', 'quotient_action_image': '4.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795845
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '18.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '9.a1'], 'contains': ['36.a1', '36.d1', '36.e1', '54.a1', '666.a1'], 'core': '18.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4276, 305, 5814, 9740], 'generators': [7992, 432, 5328, 3996, 18], 'label': '15984.a.18.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': ['6.a1', '9.a1'], 'normal_contains': ['36.a1', '36.d1', '36.e1', '54.a1'], 'normalizer': '1.a1', 'old_label': '18.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795846
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '18.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['6.b1', '9.a1'], 'contains': ['36.a1', '36.j1', '54.b1', '666.b1'], 'core': '18.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [9284, 3766, 9750, 4986], 'generators': [4554, 432, 5328, 7992, 7911], 'label': '15984.a.18.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '18.b1', 'normal_contained_in': ['6.b1', '9.a1'], 'normal_contains': ['36.a1', '36.j1', '54.b1'], 'normalizer': '1.a1', 'old_label': '18.b1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795847
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.d1', '6.b1', '6.d1', '74.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5172, 6604, 6738, 3195], 'generators': [5328, 4554, 12, 4, 7992, 7911, 432], 'label': '15984.a.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.d1', '6.b1', '6.d1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795848
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '18.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['6.a1', '9.b1'], 'contains': ['36.b1', '36.f1', '36.g1', '54.a1', '666.c1'], 'core': '18.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [5823, 1461, 5474, 8501], 'generators': [7992, 432, 1452, 3996, 18], 'label': '15984.a.18.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '18.c1', 'normal_contained_in': ['6.a1', '9.b1'], 'normal_contains': ['36.b1', '36.f1', '36.g1', '54.a1'], 'normalizer': '1.a1', 'old_label': '18.c1', 'projective_image': '3996.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.c1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795849
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '18.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['6.b1', '9.b1'], 'contains': ['36.b1', '36.k1', '54.b1', '666.d1'], 'core': '18.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [9731, 4584, 9407, 3822], 'generators': [4554, 432, 1452, 7992, 7911], 'label': '15984.a.18.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '18.d1', 'normal_contained_in': ['6.b1', '9.b1'], 'normal_contains': ['36.b1', '36.k1', '54.b1'], 'normalizer': '1.a1', 'old_label': '18.d1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.d1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795850
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '18.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '6.c1', '9.c1'], 'contains': ['36.c1', '36.h1', '36.i1', '54.a1', '666.e1'], 'core': '18.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [2949, 2145, 4842, 6678], 'generators': [7992, 432, 12, 3996, 18], 'label': '15984.a.18.e1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.e1', 'normal_contained_in': ['6.a1', '6.c1', '9.c1'], 'normal_contains': ['36.c1', '36.h1', '36.i1', '54.a1'], 'normalizer': '1.a1', 'old_label': '18.e1', 'projective_image': '3996.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.e1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795851
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '18.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['6.b1', '6.d1', '9.c1'], 'contains': ['36.c1', '36.l1', '54.b1', '666.f1'], 'core': '18.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [7306, 6205, 7515, 2568], 'generators': [4554, 432, 12, 7992, 7911], 'label': '15984.a.18.f1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.f1', 'normal_contained_in': ['6.b1', '6.d1', '9.c1'], 'normal_contains': ['36.c1', '36.l1', '54.b1'], 'normalizer': '1.a1', 'old_label': '18.f1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.f1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795852
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '24.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '12.a1', '12.c1', '12.d1'], 'contains': ['48.a1', '72.a1', '72.b1', '72.c1', '888.a1'], 'core': '24.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3124, 5670, 2722, 5676], 'generators': [7992, 12, 432, 5328], 'label': '15984.a.24.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.a1', '12.c1', '12.d1'], 'normal_contains': ['48.a1', '72.a1', '72.b1', '72.c1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795853
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '12.b1', '12.e1', '12.f1'], 'contains': ['48.b1', '72.c1', '888.b1'], 'core': '24.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [731, 7478, 492, 3303], 'generators': [7992, 292, 432, 444], 'label': '15984.a.24.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': ['8.a1', '12.b1', '12.e1', '12.f1'], 'normal_contains': ['48.b1', '72.c1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795854
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '12.a1', '12.g1'], 'contains': ['48.a1', '72.d1', '72.e1', '72.f1', '888.c1'], 'core': '24.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [6542, 8627, 6654, 2094], 'generators': [18, 12, 432, 5328], 'label': '15984.a.24.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': ['8.b1', '12.a1', '12.g1'], 'normal_contains': ['48.a1', '72.d1', '72.e1', '72.f1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795855
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.b1', '12.b1', '12.h1'], 'contains': ['48.b1', '72.f1', '888.d1'], 'core': '24.d1', 'coset_action_label': None, 'count': 6, 'diagramx': [1683, 9226, 4422, 192], 'generators': [234, 148, 432, 8220], 'label': '15984.a.24.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': ['8.b1', '12.b1', '12.h1'], 'normal_contains': ['48.b1', '72.f1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': '15984.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795856
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '27.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['592.a1'], 'conjugacy_class_count': 1, 'contained_in': ['9.a1', '9.b1', '9.c1'], 'contains': ['54.a1', '54.b1', '999.a1'], 'core': '27.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7953, 865, 8146, 7260], 'generators': [7992, 432, 18, 3996, 9], 'label': '15984.a.27.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '27.a1', 'normal_contained_in': ['9.a1', '9.b1', '9.c1'], 'normal_contains': ['54.a1', '54.b1'], 'normalizer': '1.a1', 'old_label': '27.a1', 'projective_image': '3996.a', 'quotient_action_image': '9.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '27.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795857
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '36.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '18.a1', '18.b1'], 'contains': ['72.a1', '72.d1', '108.a1', '1332.b1'], 'core': '36.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7096, 3713, 7312, 6213], 'generators': [18, 7992, 432, 5328], 'label': '15984.a.36.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.a1', 'normal_contained_in': ['12.a1', '18.a1', '18.b1'], 'normal_contains': ['72.a1', '72.d1', '108.a1'], 'normalizer': '1.a1', 'old_label': '36.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795858
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '9.a1', '9.b1', '9.c1', '111.a1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7841, 2007, 7562, 6720], 'generators': [5328, 18, 7992, 12, 3996, 9, 432], 'label': '15984.a.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.b1', '9.a1', '9.b1', '9.c1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795859
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '36.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['12.a1', '18.c1', '18.d1'], 'contains': ['72.b1', '72.e1', '108.a1', '1332.c1'], 'core': '36.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [7961, 4612, 6996, 5094], 'generators': [18, 7992, 432, 15852], 'label': '15984.a.36.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.b1', 'normal_contained_in': ['12.a1', '18.c1', '18.d1'], 'normal_contains': ['72.b1', '72.e1', '108.a1'], 'normalizer': '1.a1', 'old_label': '36.b1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795860
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '36.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '12.b1', '18.e1', '18.f1'], 'contains': ['72.c1', '72.f1', '108.a1', '1332.d1'], 'core': '36.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4501, 6346, 5299, 3930], 'generators': [18, 7992, 432, 12], 'label': '15984.a.36.c1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '36.c1', 'normal_contained_in': ['12.a1', '12.b1', '18.e1', '18.f1'], 'normal_contains': ['72.c1', '72.f1', '108.a1'], 'normalizer': '1.a1', 'old_label': '36.c1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.c1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795861
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '36.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '36.d1', 'complements': ['444.h1'], 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '18.a1'], 'contains': ['72.a1', '108.b1', '1332.a1'], 'core': '36.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [3370, 555, 3920, 9716], 'generators': [3996, 5328, 7992, 432], 'label': '15984.a.36.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.d1', 'normal_contained_in': ['12.c1', '18.a1'], 'normal_contains': ['72.a1', '108.b1', '1332.a1'], 'normalizer': '1.a1', 'old_label': '36.d1', 'projective_image': '1332.31', 'quotient_action_image': '36.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '36.d1', 'subgroup_fusion': None, 'weyl_group': '36.2'}
-
id: 62795862
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '36.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['444.h1'], 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '18.a1'], 'contains': ['72.a1', '108.c1', '1332.e1'], 'core': '36.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [3705, 1066, 3664, 8700], 'generators': [7902, 5328, 432, 7992], 'label': '15984.a.36.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.e1', 'normal_contained_in': ['12.d1', '18.a1'], 'normal_contains': ['72.a1', '108.c1'], 'normalizer': '1.a1', 'old_label': '36.e1', 'projective_image': '2664.b', 'quotient_action_image': '36.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '36.e1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795863
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '36.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['444.h1'], 'conjugacy_class_count': 2, 'contained_in': ['12.c1', '18.c1'], 'contains': ['72.b1', '108.b1', '1332.f1'], 'core': '36.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [5560, 1884, 3322, 9281], 'generators': [3996, 15852, 432, 7992], 'label': '15984.a.36.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.f1', 'normal_contained_in': ['12.c1', '18.c1'], 'normal_contains': ['72.b1', '108.b1'], 'normalizer': '1.a1', 'old_label': '36.f1', 'projective_image': '3996.a', 'quotient_action_image': '36.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '36.f1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795864
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '36.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['444.h1'], 'conjugacy_class_count': 2, 'contained_in': ['12.d1', '18.c1'], 'contains': ['72.b1', '108.c1', '1332.g1'], 'core': '36.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [6390, 2484, 3022, 7698], 'generators': [7902, 15852, 432, 7992], 'label': '15984.a.36.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.g1', 'normal_contained_in': ['12.d1', '18.c1'], 'normal_contains': ['72.b1', '108.c1'], 'normalizer': '1.a1', 'old_label': '36.g1', 'projective_image': '7992.a', 'quotient_action_image': '36.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '36.g1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795901
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '222.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '74.a1', '111.a1'], 'contains': ['444.a1', '444.c1', '444.d1', '666.a1', '666.c1', '666.e1'], 'core': '1332.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [3962, -1, 5158, -1], 'generators': [3996, 7992, 18, 5328, 12], 'label': '15984.a.222.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '222.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '222.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795865
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '36.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '12.e1', '18.e1'], 'contains': ['72.c1', '108.b1', '1332.h1'], 'core': '36.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [2261, 3082, 1803, 7188], 'generators': [3996, 12, 432, 7992], 'label': '15984.a.36.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.h1', 'normal_contained_in': ['12.c1', '12.e1', '18.e1'], 'normal_contains': ['72.c1', '108.b1'], 'normalizer': '1.a1', 'old_label': '36.h1', 'projective_image': '3996.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.h1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795866
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '36.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '12.f1', '18.e1'], 'contains': ['72.c1', '108.c1', '1332.i1'], 'core': '36.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [2651, 5212, 1503, 6678], 'generators': [7902, 12, 432, 7992], 'label': '15984.a.36.i1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.i1', 'normal_contained_in': ['12.d1', '12.f1', '18.e1'], 'normal_contains': ['72.c1', '108.c1'], 'normalizer': '1.a1', 'old_label': '36.i1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.i1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795867
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '36.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['444.e1', '444.f1', '444.h1'], 'conjugacy_class_count': 4, 'contained_in': ['12.g1', '18.b1'], 'contains': ['72.d1', '108.d1', '1332.j1'], 'core': '36.j1', 'coset_action_label': None, 'count': 4, 'diagramx': [9107, 7030, 9845, 2676], 'generators': [9, 5328, 432, 18], 'label': '15984.a.36.j1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.j1', 'normal_contained_in': ['12.g1', '18.b1'], 'normal_contains': ['72.d1', '108.d1'], 'normalizer': '1.a1', 'old_label': '36.j1', 'projective_image': '5328.a', 'quotient_action_image': '9.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '36.j1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795868
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '36.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['444.e1', '444.f1', '444.h1'], 'conjugacy_class_count': 8, 'contained_in': ['12.g1', '18.d1'], 'contains': ['72.e1', '108.d1', '1332.k1'], 'core': '36.k1', 'coset_action_label': None, 'count': 8, 'diagramx': [9469, 7717, 9568, 1623], 'generators': [243, 15852, 432, 6930], 'label': '15984.a.36.k1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.k1', 'normal_contained_in': ['12.g1', '18.d1'], 'normal_contains': ['72.e1', '108.d1'], 'normalizer': '1.a1', 'old_label': '36.k1', 'projective_image': '15984.a', 'quotient_action_image': '9.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '36.k1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795869
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '3.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['5328.a1', '5328.b1'], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['6.c1', '6.d1', '9.c1', '111.b1'], 'core': '3.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [4764, 3572, 6118, 4596], 'generators': [18, 7992, 444, 292, 3996, 9, 432], 'label': '15984.a.3.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.c1', '6.d1', '9.c1'], 'normalizer': '1.a1', 'old_label': '3.b1', 'projective_image': '3996.a', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795870
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '36.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['12.g1', '12.h1', '18.f1'], 'contains': ['72.f1', '108.d1', '1332.l1'], 'core': '36.l1', 'coset_action_label': None, 'count': 4, 'diagramx': [7599, 8274, 8005, 591], 'generators': [7911, 12, 432, 4554], 'label': '15984.a.36.l1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.l1', 'normal_contained_in': ['12.g1', '12.h1', '18.f1'], 'normal_contains': ['72.f1', '108.d1'], 'normalizer': '1.a1', 'old_label': '36.l1', 'projective_image': '15984.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.l1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795871
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '37.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['74.a1', '74.b1', '111.a1', '111.b1'], 'core': '1332.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [4527, -1, 6428, -1], 'generators': [9, 7992, 18, 3996, 12, 4, 5328], 'label': '15984.a.37.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '37.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '37.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795872
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '48.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '24.a1', '24.c1'], 'contains': ['144.a1', '144.b1', '144.c1', '1776.a1'], 'core': '48.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2804, 9088, 2971, 3567], 'generators': [12, 5328, 432], 'label': '15984.a.48.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.a1', '24.c1'], 'normal_contains': ['144.a1', '144.b1', '144.c1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795873
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['333.a1', '333.b1'], 'conjugacy_class_count': 3, 'contained_in': ['16.a1', '24.b1', '24.d1'], 'contains': ['144.c1', '1776.b1'], 'core': '48.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [814, 9695, 1535, 1512], 'generators': [292, 444, 432], 'label': '15984.a.48.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': ['16.a1', '24.b1', '24.d1'], 'normal_contains': ['144.c1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': '15984.a', 'quotient_action_image': '4.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795874
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '54.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['18.a1', '18.c1', '18.e1', '27.a1'], 'contains': ['108.a1', '108.b1', '108.c1', '1998.a1'], 'core': '54.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5372, 315, 5904, 8163], 'generators': [18, 3996, 432, 7992], 'label': '15984.a.54.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '54.a1', 'normal_contained_in': ['18.a1', '18.c1', '18.e1', '27.a1'], 'normal_contains': ['108.a1', '108.b1', '108.c1'], 'normalizer': '1.a1', 'old_label': '54.a1', 'projective_image': '3996.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795875
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '54.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['18.b1', '18.d1', '18.f1', '27.a1'], 'contains': ['108.a1', '108.d1', '1998.b1'], 'core': '54.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [9296, 4069, 9003, 4512], 'generators': [9, 7992, 432, 18], 'label': '15984.a.54.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '54.b1', 'normal_contained_in': ['18.b1', '18.d1', '18.f1', '27.a1'], 'normal_contains': ['108.a1', '108.d1'], 'normalizer': '1.a1', 'old_label': '54.b1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795876
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '72.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '36.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '36.a1', '36.d1', '36.e1'], 'contains': ['144.a1', '216.a1', '2664.a1'], 'core': '72.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3587, 3097, 4572, 6111], 'generators': [7992, 5328, 432], 'label': '15984.a.72.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '72.a1', 'normal_contained_in': ['24.a1', '36.a1', '36.d1', '36.e1'], 'normal_contains': ['144.a1', '216.a1', '2664.a1'], 'normalizer': '1.a1', 'old_label': '72.a1', 'projective_image': '2664.b', 'quotient_action_image': '36.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '72.a1', 'subgroup_fusion': None, 'weyl_group': '36.2'}
-
id: 62795877
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '72.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['24.a1', '36.b1', '36.f1', '36.g1'], 'contains': ['144.b1', '216.a1', '2664.b1'], 'core': '72.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [6532, 5205, 4316, 5676], 'generators': [7992, 15852, 432], 'label': '15984.a.72.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.b1', 'normal_contained_in': ['24.a1', '36.b1', '36.f1', '36.g1'], 'normal_contains': ['144.b1', '216.a1'], 'normalizer': '1.a1', 'old_label': '72.b1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795878
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '72.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '24.b1', '36.c1', '36.h1', '36.i1'], 'contains': ['144.c1', '216.a1', '2664.c1'], 'core': '72.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2422, 6022, 2388, 4764], 'generators': [7992, 12, 432], 'label': '15984.a.72.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.c1', 'normal_contained_in': ['24.a1', '24.b1', '36.c1', '36.h1', '36.i1'], 'normal_contains': ['144.c1', '216.a1'], 'normalizer': '1.a1', 'old_label': '72.c1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.c1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795879
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '72.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['24.c1', '36.a1', '36.j1'], 'contains': ['144.a1', '216.b1', '2664.d1'], 'core': '72.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [7207, 7038, 6936, 4104], 'generators': [18, 5328, 432], 'label': '15984.a.72.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.d1', 'normal_contained_in': ['24.c1', '36.a1', '36.j1'], 'normal_contains': ['144.a1', '216.b1'], 'normalizer': '1.a1', 'old_label': '72.d1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.d1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795880
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.a1', '8.b1', '12.a1', '12.b1', '148.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2401, 7143, 4308, 3195], 'generators': [5328, 12, 432, 4, 7992, 18], 'label': '15984.a.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.a1', '8.b1', '12.a1', '12.b1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795881
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '72.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['24.c1', '36.b1', '36.k1'], 'contains': ['144.b1', '216.b1', '2664.e1'], 'core': '72.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [7885, 8020, 6686, 3096], 'generators': [18, 1452, 432], 'label': '15984.a.72.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.e1', 'normal_contained_in': ['24.c1', '36.b1', '36.k1'], 'normal_contains': ['144.b1', '216.b1'], 'normalizer': '1.a1', 'old_label': '72.e1', 'projective_image': '15984.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.e1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795882
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '72.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['24.c1', '24.d1', '36.c1', '36.l1'], 'contains': ['144.c1', '216.b1', '2664.f1'], 'core': '72.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [5383, 8465, 5355, 2205], 'generators': [18, 12, 432], 'label': '15984.a.72.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.f1', 'normal_contained_in': ['24.c1', '24.d1', '36.c1', '36.l1'], 'normal_contains': ['144.c1', '216.b1'], 'normalizer': '1.a1', 'old_label': '72.f1', 'projective_image': '15984.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.f1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795883
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '74.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '37.a1'], 'contains': ['148.a1', '148.b1', '148.c1', '222.a1', '222.c1'], 'core': '1332.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [1701, -1, 3969, -1], 'generators': [3996, 12, 7992, 18, 4, 5328], 'label': '15984.a.74.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '74.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '74.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795884
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '74.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '37.a1'], 'contains': ['148.a1', '148.d1', '222.b1', '222.d1'], 'core': '2664.a1', 'coset_action_label': None, 'count': 74, 'diagramx': [4713, -1, 6692, -1], 'generators': [4023, 12, 8010, 7992, 4, 5328], 'label': '15984.a.74.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '74.b1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '74.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795885
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '108.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['36.a1', '36.b1', '36.c1', '54.a1', '54.b1'], 'contains': ['216.a1', '216.b1', '3996.b1'], 'core': '108.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7431, 4112, 6260, 5190], 'generators': [18, 7992, 432], 'label': '15984.a.108.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '108.a1', 'normal_contained_in': ['36.a1', '36.b1', '36.c1', '54.a1', '54.b1'], 'normal_contains': ['216.a1', '216.b1'], 'normalizer': '1.a1', 'old_label': '108.a1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.a1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795886
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '108.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '36.d1', 'complements': ['148.d1'], 'conjugacy_class_count': 1, 'contained_in': ['36.d1', '36.f1', '36.h1', '54.a1'], 'contains': ['216.a1', '3996.a1'], 'core': '108.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3808, 2187, 3748, 8090], 'generators': [3996, 432, 7992], 'label': '15984.a.108.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '108.b1', 'normal_contained_in': ['36.d1', '36.f1', '36.h1', '54.a1'], 'normal_contains': ['216.a1', '3996.a1'], 'normalizer': '1.a1', 'old_label': '108.b1', 'projective_image': '3996.a', 'quotient_action_image': '36.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '108.b1', 'subgroup_fusion': None, 'weyl_group': '36.2'}
-
id: 62795887
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '108.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['148.d1'], 'conjugacy_class_count': 1, 'contained_in': ['36.e1', '36.g1', '36.i1', '54.a1'], 'contains': ['216.a1', '3996.c1'], 'core': '108.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5296, 3608, 3558, 7698], 'generators': [7902, 7992, 432], 'label': '15984.a.108.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '108.c1', 'normal_contained_in': ['36.e1', '36.g1', '36.i1', '54.a1'], 'normal_contains': ['216.a1'], 'normalizer': '1.a1', 'old_label': '108.c1', 'projective_image': '7992.a', 'quotient_action_image': '36.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '108.c1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795888
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '108.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['148.b1', '148.c1', '148.d1'], 'conjugacy_class_count': 4, 'contained_in': ['36.j1', '36.k1', '36.l1', '54.b1'], 'contains': ['216.b1', '3996.d1'], 'core': '108.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [9036, 7435, 8583, 2676], 'generators': [243, 6930, 432], 'label': '15984.a.108.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '108.d1', 'normal_contained_in': ['36.j1', '36.k1', '36.l1', '54.b1'], 'normal_contains': ['216.b1'], 'normalizer': '1.a1', 'old_label': '108.d1', 'projective_image': '15984.a', 'quotient_action_image': '9.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '108.d1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795889
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '111.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '37.a1'], 'contains': ['222.a1', '222.b1', '333.a1', '333.b1', '333.c1'], 'core': '1332.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [8037, -1, 7562, -1], 'generators': [9, 7992, 18, 3996, 5328, 12], 'label': '15984.a.111.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '111.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '111.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795890
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '111.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['3.b1', '37.a1'], 'contains': ['222.c1', '222.d1', '333.c1'], 'core': '3996.a1', 'coset_action_label': None, 'count': 111, 'diagramx': [4305, -1, 6118, -1], 'generators': [11673, 8220, 7992, 3996, 148, 1746], 'label': '15984.a.111.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '111.b1', 'projective_image': '3996.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '111.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795891
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['3996.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.a1', '12.c1', '12.e1', '148.b1'], 'core': '4.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [269, 4436, 2547, 6390], 'generators': [7992, 12, 432, 5328, 4, 3996], 'label': '15984.a.4.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1', '12.c1', '12.e1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '1332.31', 'quotient_action_image': '4.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795892
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '144.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '36.d1', 'complements': ['111.b1'], 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '72.a1', '72.d1'], 'contains': ['432.a1', '5328.a1'], 'core': '144.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3718, 6784, 4493, 4311], 'generators': [5328, 432], 'label': '15984.a.144.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '144.a1', 'normal_contained_in': ['48.a1', '72.a1', '72.d1'], 'normal_contains': ['432.a1', '5328.a1'], 'normalizer': '1.a1', 'old_label': '144.a1', 'projective_image': '5328.a', 'quotient_action_image': '36.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '144.a1', 'subgroup_fusion': None, 'weyl_group': '36.2'}
-
id: 62795893
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '144.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['111.b1'], 'conjugacy_class_count': 2, 'contained_in': ['48.a1', '72.b1', '72.e1'], 'contains': ['432.a1', '5328.b1'], 'core': '144.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [6488, 8683, 4302, 3987], 'generators': [15852, 432], 'label': '15984.a.144.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '144.b1', 'normal_contained_in': ['48.a1', '72.b1', '72.e1'], 'normal_contains': ['432.a1'], 'normalizer': '1.a1', 'old_label': '144.b1', 'projective_image': '15984.a', 'quotient_action_image': '36.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '144.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795894
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '144.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '48.b1', '72.c1', '72.f1'], 'contains': ['432.a1', '5328.c1'], 'core': '144.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2855, 9103, 2971, 3363], 'generators': [12, 432], 'label': '15984.a.144.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '144.c1', 'normal_contained_in': ['48.a1', '48.b1', '72.c1', '72.f1'], 'normal_contains': ['432.a1'], 'normalizer': '1.a1', 'old_label': '144.c1', 'projective_image': '15984.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.c1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795895
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '148.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '74.a1', '74.b1'], 'contains': ['296.a1', '296.b1', '444.a1', '444.b1'], 'core': '2664.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [2454, -1, 4138, -1], 'generators': [18, 12, 7992, 4, 5328], 'label': '15984.a.148.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '148.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '148.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795896
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '148.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '74.a1'], 'contains': ['296.a1', '444.c1', '444.e1'], 'core': '1332.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [999, -1, 1997, -1], 'generators': [3996, 12, 4, 5328, 7992], 'label': '15984.a.148.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '148.b1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '148.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795897
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '148.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '74.a1'], 'contains': ['296.a1', '444.d1', '444.f1'], 'core': '2664.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [1551, -1, 1709, -1], 'generators': [4014, 12, 4, 5328, 7992], 'label': '15984.a.148.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '148.c1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '148.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795898
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '148.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.d1', '74.b1'], 'contains': ['296.b1', '444.g1', '444.h1'], 'core': '5328.a1', 'coset_action_label': None, 'count': 148, 'diagramx': [5033, -1, 6911, -1], 'generators': [4023, 12, 4, 5328, 8010], 'label': '15984.a.148.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '148.d1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '148.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795899
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '216.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '36.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['72.a1', '72.b1', '72.c1', '108.a1', '108.b1', '108.c1'], 'contains': ['432.a1', '7992.a1'], 'core': '216.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5017, 3911, 3992, 5724], 'generators': [7992, 432], 'label': '15984.a.216.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '216.a1', 'normal_contained_in': ['72.a1', '72.b1', '72.c1', '108.a1', '108.b1', '108.c1'], 'normal_contains': ['432.a1', '7992.a1'], 'normalizer': '1.a1', 'old_label': '216.a1', 'projective_image': '7992.a', 'quotient_action_image': '36.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '216.a1', 'subgroup_fusion': None, 'weyl_group': '36.2'}
-
id: 62795900
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '216.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['72.d1', '72.e1', '72.f1', '108.a1', '108.d1'], 'contains': ['432.a1', '7992.b1'], 'core': '216.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [7336, 7259, 6275, 3675], 'generators': [234, 432], 'label': '15984.a.216.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '216.b1', 'normal_contained_in': ['72.d1', '72.e1', '72.f1', '108.a1', '108.d1'], 'normal_contains': ['432.a1'], 'normalizer': '1.a1', 'old_label': '216.b1', 'projective_image': '15984.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.b1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795902
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['3996.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.a1', '12.d1', '12.f1', '148.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [1111, 6106, 2131, 5682], 'generators': [7992, 12, 432, 5328, 4, 7902], 'label': '15984.a.4.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1', '12.d1', '12.f1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '2664.b', 'quotient_action_image': '4.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795903
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '222.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.b1', '74.b1', '111.a1'], 'contains': ['444.a1', '444.g1', '666.b1', '666.d1', '666.f1'], 'core': '2664.a1', 'coset_action_label': None, 'count': 74, 'diagramx': [8495, -1, 8749, -1], 'generators': [7911, 4554, 7992, 5328, 15564], 'label': '15984.a.222.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '222.b1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '222.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795904
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '222.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['6.c1', '74.a1', '111.b1'], 'contains': ['444.b1', '444.e1', '444.f1', '666.e1'], 'core': '3996.a1', 'coset_action_label': None, 'count': 111, 'diagramx': [1989, -1, 3461, -1], 'generators': [3996, 444, 3474, 292, 7992], 'label': '15984.a.222.c1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '3.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '222.c1', 'projective_image': '3996.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '222.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795905
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '222.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['6.d1', '74.b1', '111.b1'], 'contains': ['444.b1', '444.h1', '666.f1'], 'core': '7992.a1', 'coset_action_label': None, 'count': 222, 'diagramx': [4690, -1, 6470, -1], 'generators': [135, 444, 7992, 292, 11466], 'label': '15984.a.222.d1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '3.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '222.d1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '222.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795906
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '296.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '148.a1', '148.b1', '148.c1'], 'contains': ['592.a1', '888.a1', '888.b1'], 'core': '2664.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [999, -1, 834, -1], 'generators': [7992, 4, 5328, 12], 'label': '15984.a.296.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '296.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '296.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795907
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '296.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '148.a1', '148.d1'], 'contains': ['592.a1', '888.c1', '888.d1'], 'core': '5328.a1', 'coset_action_label': None, 'count': 74, 'diagramx': [2804, -1, 4696, -1], 'generators': [8010, 4, 5328, 12], 'label': '15984.a.296.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '296.b1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '296.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795908
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '333.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1', '111.a1'], 'contains': ['666.a1', '666.b1', '999.a1'], 'core': '1332.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [7778, -1, 8462, -1], 'generators': [9, 7992, 3996, 5328, 18], 'label': '15984.a.333.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '333.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '333.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795909
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '333.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.b1', '111.a1'], 'contains': ['666.c1', '666.d1', '999.a1'], 'core': '3996.a1', 'coset_action_label': None, 'count': 74, 'diagramx': [8153, -1, 7830, -1], 'generators': [9, 7992, 3996, 5352, 18], 'label': '15984.a.333.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '333.b1', 'projective_image': '3996.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '333.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795910
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '333.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.c1', '111.a1', '111.b1'], 'contains': ['666.e1', '666.f1', '999.a1'], 'core': '3996.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [6789, -1, 7199, -1], 'generators': [9, 7992, 3996, 12, 18], 'label': '15984.a.333.c1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '9.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '333.c1', 'projective_image': '3996.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '333.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795911
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '432.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '36.d1', 'complements': ['37.a1'], 'conjugacy_class_count': 1, 'contained_in': ['144.a1', '144.b1', '144.c1', '216.a1', '216.b1'], 'contains': ['15984.a1'], 'core': '432.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5926, 7072, 4257, 4170], 'generators': [432], 'label': '15984.a.432.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '432.a1', 'normal_contained_in': ['144.a1', '144.b1', '144.c1', '216.a1', '216.b1'], 'normal_contains': ['15984.a1'], 'normalizer': '1.a1', 'old_label': '432.a1', 'projective_image': '15984.a', 'quotient_action_image': '36.2', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '432.a1', 'subgroup_fusion': None, 'weyl_group': '36.2'}
-
id: 62795912
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '444.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '148.a1', '222.a1', '222.b1'], 'contains': ['888.a1', '888.c1', '1332.b1', '1332.c1', '1332.d1'], 'core': '2664.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [5767, -1, 6410, -1], 'generators': [18, 7992, 5328, 12], 'label': '15984.a.444.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '444.a1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '444.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795913
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1332.a1', 'complements': ['3996.a1', '3996.c1', '3996.d1'], 'conjugacy_class_count': 4, 'contained_in': ['2.b1'], 'contains': ['8.b1', '12.g1', '12.h1', '148.d1'], 'core': '4.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [5446, 8169, 6980, 1017], 'generators': [6930, 12, 432, 5328, 4, 243], 'label': '15984.a.4.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['8.b1', '12.g1', '12.h1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '5328.a', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '1332.31'}
-
id: 62795914
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '444.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['12.b1', '148.a1', '222.c1', '222.d1'], 'contains': ['888.b1', '888.d1', '1332.d1'], 'core': '7992.a1', 'coset_action_label': None, 'count': 111, 'diagramx': [2569, -1, 4149, -1], 'generators': [18, 7992, 4, 12], 'label': '15984.a.444.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '444.b1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '444.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795915
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '444.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '148.b1', '222.a1'], 'contains': ['888.a1', '1332.a1', '1332.f1', '1332.h1'], 'core': '1332.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [2104, -1, 2406, -1], 'generators': [3996, 5328, 12, 7992], 'label': '15984.a.444.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '444.c1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '444.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795916
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '444.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '148.c1', '222.a1'], 'contains': ['888.a1', '1332.e1', '1332.g1', '1332.i1'], 'core': '2664.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [3296, -1, 2119, -1], 'generators': [4014, 5328, 12, 7992], 'label': '15984.a.444.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '444.d1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '444.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795917
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '444.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['12.e1', '148.b1', '222.c1'], 'contains': ['888.b1', '1332.h1'], 'core': '3996.a1', 'coset_action_label': None, 'count': 111, 'diagramx': [1173, -1, 217, -1], 'generators': [3996, 292, 7992, 444], 'label': '15984.a.444.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '444.e1', 'projective_image': '3996.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '444.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795918
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '444.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['12.f1', '148.c1', '222.c1'], 'contains': ['888.b1', '1332.i1'], 'core': '7992.a1', 'coset_action_label': None, 'count': 111, 'diagramx': [1638, -1, 62, -1], 'generators': [7470, 292, 7992, 444], 'label': '15984.a.444.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '444.f1', 'projective_image': '7992.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '444.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795919
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '444.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.g1', '148.d1', '222.b1'], 'contains': ['888.c1', '1332.j1', '1332.k1', '1332.l1'], 'core': '5328.a1', 'coset_action_label': None, 'count': 148, 'diagramx': [8248, -1, 8400, -1], 'generators': [7911, 5328, 15564, 4554], 'label': '15984.a.444.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '444.g1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '444.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795920
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '444.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['12.h1', '148.d1', '222.d1'], 'contains': ['888.d1', '1332.l1'], 'core': '15984.a1', 'coset_action_label': None, 'count': 444, 'diagramx': [4808, -1, 7534, -1], 'generators': [7353, 292, 3474, 444], 'label': '15984.a.444.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '444.h1', 'projective_image': '15984.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '444.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795921
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '592.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '296.a1', '296.b1'], 'contains': ['1776.a1', '1776.b1'], 'core': '5328.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [565, -1, 1787, -1], 'generators': [4, 5328], 'label': '15984.a.592.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '592.a1', 'projective_image': '5328.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '592.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795922
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '666.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1', '222.a1', '333.a1'], 'contains': ['1332.a1', '1332.b1', '1332.e1', '1998.a1'], 'core': '1332.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [4490, -1, 6193, -1], 'generators': [3996, 18, 5328, 7992], 'label': '15984.a.666.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '666.a1', 'projective_image': '1332.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '666.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62795923
{'ambient': '15984.a', 'aut_centralizer_order': None, 'aut_label': '666.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.b1', '222.b1', '333.a1'], 'contains': ['1332.b1', '1332.j1', '1998.b1'], 'core': '2664.a1', 'coset_action_label': None, 'count': 74, 'diagramx': [8569, -1, 9319, -1], 'generators': [7911, 7992, 5328, 4554], 'label': '15984.a.666.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1', 'old_label': '666.b1', 'projective_image': '2664.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '666.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
