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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '12.5', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 36, 'aut_gen_orders': [12, 12, 6, 18], 'aut_gens': [[5258258062612632961, 2696935103847991682], [23305479525225371665, 24652743634525669205], [15695161615040241626, 36882095602459566481], [5258383580862936986, 35216624904598980121], [8706058428815517625, 36779697936192447506]], 'aut_group': '10077696.cr', 'aut_hash': 1455092669202348314, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 10077696, 'aut_permdeg': 2142, 'aut_perms': 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True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 36, 'autcentquo_group': '10077696.cr', 'autcentquo_hash': 1455092669202348314, 'autcentquo_nilpotent': False, 'autcentquo_order': 10077696, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^6.C_2^6:S_3^3', 'cc_stats': [[1, 1, 1], [2, 54, 2], [2, 81, 1], [2, 162, 1], [2, 486, 1], [2, 729, 2], [2, 1458, 1], [2, 1944, 1], [2, 4374, 1], [3, 2, 1], [3, 12, 1], [3, 16, 1], [3, 24, 2], [3, 32, 1], [3, 36, 1], [3, 48, 1], [3, 64, 1], [3, 72, 3], [3, 96, 1], [3, 128, 1], [3, 144, 4], [3, 192, 2], [3, 288, 2], [3, 384, 1], [3, 432, 2], [3, 576, 2], [3, 864, 4], [3, 1152, 2], [3, 1296, 2], [3, 1728, 2], [3, 2592, 3], [3, 5184, 1], [4, 5832, 1], [4, 17496, 1], [4, 52488, 1], [6, 108, 4], [6, 162, 1], [6, 216, 2], [6, 324, 6], [6, 432, 2], [6, 648, 14], [6, 864, 4], [6, 972, 4], [6, 1296, 12], [6, 1458, 2], [6, 1728, 2], [6, 1944, 10], [6, 2592, 5], [6, 2916, 5], [6, 3888, 17], [6, 5184, 2], [6, 5832, 9], [6, 7776, 12], [6, 8748, 1], [6, 11664, 6], [6, 15552, 3], [6, 17496, 2], [6, 23328, 8], [6, 34992, 2], [6, 46656, 1], [6, 69984, 2], [9, 144, 2], [9, 288, 2], [9, 864, 2], [9, 1152, 6], [9, 1728, 4], [9, 3456, 2], [9, 5184, 6], [9, 10368, 9], [12, 5832, 2], [12, 11664, 6], [12, 17496, 2], [12, 23328, 3], [12, 69984, 6], [12, 104976, 1], [18, 3888, 4], [18, 7776, 8], [18, 11664, 2], [18, 15552, 4], [18, 46656, 4], [18, 139968, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '2519424.ju', 'commutator_count': 1, 'commutator_label': '209952.ib', 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 16, 'conjugacy_classes_known': True, 'counter': 255, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 54, 1, 2], [2, 81, 1, 1], [2, 162, 1, 1], [2, 486, 1, 1], [2, 729, 1, 2], [2, 1458, 1, 1], [2, 1944, 1, 1], [2, 4374, 1, 1], [3, 2, 1, 1], [3, 12, 1, 1], [3, 16, 1, 1], [3, 24, 1, 2], [3, 32, 1, 1], [3, 36, 1, 1], [3, 48, 1, 1], [3, 64, 1, 1], [3, 72, 1, 1], [3, 72, 2, 1], [3, 96, 1, 1], [3, 128, 1, 1], [3, 144, 1, 2], [3, 144, 2, 1], [3, 192, 1, 2], [3, 288, 1, 2], [3, 384, 1, 1], [3, 432, 2, 1], [3, 576, 2, 1], [3, 864, 2, 2], [3, 1152, 2, 1], [3, 1296, 2, 1], [3, 1728, 2, 1], [3, 2592, 1, 1], [3, 2592, 2, 1], [3, 5184, 1, 1], [4, 5832, 1, 1], [4, 17496, 1, 1], [4, 52488, 1, 1], [6, 108, 1, 4], [6, 162, 1, 1], [6, 216, 1, 2], [6, 324, 1, 6], [6, 432, 1, 2], [6, 648, 1, 12], [6, 648, 2, 1], [6, 864, 1, 4], [6, 972, 1, 4], [6, 1296, 1, 12], [6, 1458, 1, 2], [6, 1728, 1, 2], [6, 1944, 1, 4], [6, 1944, 2, 3], [6, 2592, 1, 5], [6, 2916, 1, 5], [6, 3888, 1, 1], [6, 3888, 2, 8], [6, 5184, 2, 1], [6, 5832, 1, 5], [6, 5832, 2, 2], [6, 7776, 2, 6], [6, 8748, 1, 1], [6, 11664, 1, 2], [6, 11664, 2, 2], [6, 15552, 1, 1], [6, 15552, 2, 1], [6, 17496, 2, 1], [6, 23328, 1, 2], [6, 23328, 2, 3], [6, 34992, 2, 1], [6, 46656, 1, 1], [6, 69984, 2, 1], [9, 144, 2, 1], [9, 288, 2, 1], [9, 864, 2, 1], [9, 1152, 2, 3], [9, 1728, 2, 2], [9, 3456, 2, 1], [9, 5184, 2, 3], [9, 10368, 1, 3], [9, 10368, 2, 3], [12, 5832, 2, 1], [12, 11664, 1, 2], [12, 11664, 2, 2], [12, 17496, 2, 1], [12, 23328, 1, 1], [12, 23328, 2, 1], [12, 69984, 2, 1], [12, 69984, 4, 1], [12, 104976, 1, 1], [18, 3888, 2, 2], [18, 7776, 2, 4], [18, 11664, 2, 1], [18, 15552, 2, 2], [18, 46656, 2, 2], [18, 139968, 2, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 36, 'exponents_of_order': [9, 7], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[24, 0, 8], [24, 1, 4], [32, 0, 8], [32, 1, 1], [48, 0, 4], [48, 1, 2], [72, 1, 12], [96, 0, 2], [96, 1, 1], [128, 0, 6], [128, 1, 3], [144, 1, 4], [192, 0, 4], [192, 1, 2], [288, 1, 8], [384, 0, 2], [384, 1, 1]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '2519424.ju', 'hash': 7529139202950869898, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 36, 'inner_gen_orders': [18, 18], 'inner_gens': [[5258258062612632961, 36515713875360902069], [20131687749034554509, 2696935103847991682]], 'inner_hash': 7529139202950869898, 'inner_nilpotent': False, 'inner_order': 2519424, 'inner_split': True, 'inner_tex': 'C_3^6.A_4^2:D_{12}', 'inner_used': [1, 2], 'irrC_degree': 24, 'irrQ_degree': 24, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 12], [2, 27], [4, 6], [6, 12], [9, 4], [12, 30], [16, 18], [18, 5], [24, 24], [32, 9], [36, 16], [48, 12], [64, 6], [72, 22], [96, 15], [128, 12], [144, 16], [192, 12], [288, 9], [384, 3]], 'label': '2519424.ju', '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': False, 'metacyclic': False, 'monomial': None, 'name': 'C3^6.A4^2:D12', 'ngens': 2, '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 176, 'number_characteristic_subgroups': 35, 'number_conjugacy_classes': 270, 'number_divisions': 194, 'number_normal_subgroups': 35, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 2519424, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 10071], [3, 29402], [4, 75816], [6, 915030], [9, 147744], [12, 711504], [18, 629856]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [0, 0], 'outer_gens': [[5994853990747110745, 39009794318601777389], [15330350599560788401, 30178867692571411805]], 'outer_group': '4.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 4, 'outer_permdeg': 4, 'outer_perms': [1, 6], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2', 'pc_rank': None, 'perfect': False, 'permutation_degree': 21, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 4], [2, 9], [4, 11], [6, 4], [8, 3], [9, 4], [12, 14], [16, 2], [18, 3], [24, 18], [32, 9], [36, 17], [48, 12], [64, 6], [72, 18], [96, 9], [128, 6], [144, 18], [192, 9], [256, 4], [288, 7], [384, 5], [576, 1], [768, 1]], 'representations': {'PC': {'code': '2302678768480718510853951309696531506678376602377668854082338271756644700357486533337979304457367382931549360834867552059016355905050161236926935423409713416095911969244569699330684091868615196507980807395237286850732874479764595257636043983864064086592624751125451597999544117404895178247154293133772560495797470381610765701789662837514638661999350448875313742642551500037250286999212649640552729525161037302146430209092277078376784633711629924059466146136912841186573106799469730909749234359457298752235995493966316676315855336884775048278122556614943482374252781325487', 'gens': [1, 3, 6, 7, 8, 10, 12, 14, 15, 16], 'pres': [16, 2, 3, 2, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 3, 3, 3, 32, 36923921, 58274786, 45339426, 130, 128179971, 20072851, 179, 3844, 214133765, 89043861, 12554533, 7769717, 215509, 188504070, 101727382, 28594982, 22936086, 487286, 583398, 125411335, 86082071, 34836519, 2345527, 2397399, 4455, 375, 26873864, 11943960, 2239528, 20792, 331864, 1256, 305441289, 160565785, 52444841, 8881977, 330329, 209385, 4921, 473, 147806218, 152090, 49268778, 152122, 4314, 4346, 354461195, 228842523, 71898667, 10202171, 5485915, 1156715, 76155, 15131, 571, 453952524, 29742364, 38877740, 1078332, 2443676, 244716, 119932, 10140, 49932301, 31352861, 64557, 3483709, 2612829, 16285, 1244174, 100776990, 6635566, 11197502, 622174, 51998, 8830, 442383, 11943967, 221231, 35831871, 1990751, 27839]}, 'Perm': {'d': 21, 'gens': [5258258062612632961, 2696935103847991682]}}, 'schur_multiplier': [2, 2], 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2, 6], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 96, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^6.A_4^2:D_{12}', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
Hide schema
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id: 156307986
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 255, 'group_order': 2519424, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
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id: 156308097
{'aut_label': '2A', 'centralizer': '54.I', 'counter': 2, 'group_counter': 255, 'group_order': 2519424, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 1480571424, 'size': 54}
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id: 156308179
{'aut_label': '2B', 'centralizer': '54.E', 'counter': 3, 'group_counter': 255, 'group_order': 2519424, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 1480550401, 'size': 54}
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id: 156308190
{'aut_label': '2C', 'centralizer': '81.a1', 'counter': 4, 'group_counter': 255, 'group_order': 2519424, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 1480551960, 'size': 81}
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id: 156308201
{'aut_label': '2D', 'centralizer': None, 'counter': 5, 'group_counter': 255, 'group_order': 2519424, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 9291760860241, 'size': 162}
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id: 156308212
{'aut_label': '2E', 'centralizer': None, 'counter': 6, 'group_counter': 255, 'group_order': 2519424, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 9291760876104, 'size': 486}
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id: 156308223
{'aut_label': '2F', 'centralizer': '729.A', 'counter': 7, 'group_counter': 255, 'group_order': 2519424, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 51819689544, 'size': 729}
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id: 156308234
{'aut_label': '2G', 'centralizer': '729.A', 'counter': 8, 'group_counter': 255, 'group_order': 2519424, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 15219385140223048344, 'size': 729}
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id: 156308245
{'aut_label': '2H', 'centralizer': None, 'counter': 9, 'group_counter': 255, 'group_order': 2519424, 'label': '2H', 'order': 2, 'powers': [1, 9], 'representative': 513131428753176965, 'size': 1458}
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id: 156307987
{'aut_label': '2I', 'centralizer': None, 'counter': 10, 'group_counter': 255, 'group_order': 2519424, 'label': '2I', 'order': 2, 'powers': [1, 10], 'representative': 40349814194513074562, 'size': 1944}
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id: 156307998
{'aut_label': '2J', 'centralizer': None, 'counter': 11, 'group_counter': 255, 'group_order': 2519424, 'label': '2J', 'order': 2, 'powers': [1, 11], 'representative': 1345087121012753069, 'size': 4374}
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id: 156308009
{'aut_label': '3A', 'centralizer': '2.C', 'counter': 12, 'group_counter': 255, 'group_order': 2519424, 'label': '3A', 'order': 3, 'powers': [12, 1], 'representative': 4, 'size': 2}
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id: 156308020
{'aut_label': '3B', 'centralizer': '12.L', 'counter': 13, 'group_counter': 255, 'group_order': 2519424, 'label': '3B', 'order': 3, 'powers': [13, 1], 'representative': 323367264, 'size': 12}
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id: 156308031
{'aut_label': '3C', 'centralizer': '16.A', 'counter': 14, 'group_counter': 255, 'group_order': 2519424, 'label': '3C', 'order': 3, 'powers': [14, 1], 'representative': 493410610089221760, 'size': 16}
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id: 156308042
{'aut_label': '3D', 'centralizer': '24.R', 'counter': 15, 'group_counter': 255, 'group_order': 2519424, 'label': '3D', 'order': 3, 'powers': [15, 1], 'representative': 22181164, 'size': 24}
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id: 156308053
{'aut_label': '3E', 'centralizer': '24.O', 'counter': 16, 'group_counter': 255, 'group_order': 2519424, 'label': '3E', 'order': 3, 'powers': [16, 1], 'representative': 231546082935600, 'size': 24}
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id: 156308064
{'aut_label': '3F', 'centralizer': '32.A', 'counter': 17, 'group_counter': 255, 'group_order': 2519424, 'label': '3F', 'order': 3, 'powers': [17, 1], 'representative': 1345084491737035444, 'size': 32}
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id: 156308075
{'aut_label': '3G', 'centralizer': '36.BE', 'counter': 18, 'group_counter': 255, 'group_order': 2519424, 'label': '3G', 'order': 3, 'powers': [18, 1], 'representative': 345542664, 'size': 36}
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id: 156308086
{'aut_label': '3H', 'centralizer': '48.P', 'counter': 19, 'group_counter': 255, 'group_order': 2519424, 'label': '3H', 'order': 3, 'powers': [19, 1], 'representative': 231546082935604, 'size': 48}
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id: 156308098
{'aut_label': '3I', 'centralizer': '64.C', 'counter': 20, 'group_counter': 255, 'group_order': 2519424, 'label': '3I', 'order': 3, 'powers': [20, 1], 'representative': 15938814004393978824, 'size': 64}
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id: 156308109
{'aut_label': '3J', 'centralizer': '72.DL', 'counter': 21, 'group_counter': 255, 'group_order': 2519424, 'label': '3J', 'order': 3, 'powers': [21, 1], 'representative': 345542668, 'size': 72}
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id: 156308120
{'aut_label': '3K1', 'centralizer': '72.CJ', 'counter': 22, 'group_counter': 255, 'group_order': 2519424, 'label': '3K1', 'order': 3, 'powers': [23, 1], 'representative': 1101575947158984960, 'size': 72}
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id: 156308131
{'aut_label': '3K1', 'centralizer': '72.CJ', 'counter': 23, 'group_counter': 255, 'group_order': 2519424, 'label': '3K-1', 'order': 3, 'powers': [22, 1], 'representative': 371832207800629080, 'size': 72}
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id: 156308142
{'aut_label': '3L', 'centralizer': '96.E', 'counter': 24, 'group_counter': 255, 'group_order': 2519424, 'label': '3L', 'order': 3, 'powers': [24, 1], 'representative': 1345084491980522904, 'size': 96}
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id: 156308153
{'aut_label': '3M', 'centralizer': '128.a1', 'counter': 25, 'group_counter': 255, 'group_order': 2519424, 'label': '3M', 'order': 3, 'powers': [25, 1], 'representative': 5379865247261415627, 'size': 128}
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id: 156308164
{'aut_label': '3N', 'centralizer': None, 'counter': 26, 'group_counter': 255, 'group_order': 2519424, 'label': '3N', 'order': 3, 'powers': [26, 1], 'representative': 231546366380184, 'size': 144}
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id: 156308175
{'aut_label': '3O', 'centralizer': None, 'counter': 27, 'group_counter': 255, 'group_order': 2519424, 'label': '3O', 'order': 3, 'powers': [27, 1], 'representative': 494812400853617544, 'size': 144}
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id: 156308177
{'aut_label': '3P1', 'centralizer': None, 'counter': 28, 'group_counter': 255, 'group_order': 2519424, 'label': '3P1', 'order': 3, 'powers': [29, 1], 'representative': 26899973641893387028, 'size': 144}
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id: 156308178
{'aut_label': '3P1', 'centralizer': None, 'counter': 29, 'group_counter': 255, 'group_order': 2519424, 'label': '3P-1', 'order': 3, 'powers': [28, 1], 'representative': 41558208327854750307, 'size': 144}
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id: 156308180
{'aut_label': '3Q', 'centralizer': None, 'counter': 30, 'group_counter': 255, 'group_order': 2519424, 'label': '3Q', 'order': 3, 'powers': [30, 1], 'representative': 15206420986349086104, 'size': 192}
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id: 156308181
{'aut_label': '3R', 'centralizer': None, 'counter': 31, 'group_counter': 255, 'group_order': 2519424, 'label': '3R', 'order': 3, 'powers': [31, 1], 'representative': 14720923252734553467, 'size': 192}
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id: 156308182
{'aut_label': '3S', 'centralizer': None, 'counter': 32, 'group_counter': 255, 'group_order': 2519424, 'label': '3S', 'order': 3, 'powers': [32, 1], 'representative': 1346674637252067388, 'size': 288}
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id: 156308183
{'aut_label': '3T', 'centralizer': None, 'counter': 33, 'group_counter': 255, 'group_order': 2519424, 'label': '3T', 'order': 3, 'powers': [33, 1], 'representative': 14719435067543291547, 'size': 288}
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id: 156308184
{'aut_label': '3U', 'centralizer': None, 'counter': 34, 'group_counter': 255, 'group_order': 2519424, 'label': '3U', 'order': 3, 'powers': [34, 1], 'representative': 494854371325825227, 'size': 384}
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id: 156308185
{'aut_label': '3V1', 'centralizer': None, 'counter': 35, 'group_counter': 255, 'group_order': 2519424, 'label': '3V1', 'order': 3, 'powers': [36, 1], 'representative': 5993368477890889080, 'size': 432}
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id: 156308186
{'aut_label': '3V1', 'centralizer': None, 'counter': 36, 'group_counter': 255, 'group_order': 2519424, 'label': '3V-1', 'order': 3, 'powers': [35, 1], 'representative': 15084833429573642280, 'size': 432}
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id: 156308187
{'aut_label': '3W1', 'centralizer': None, 'counter': 37, 'group_counter': 255, 'group_order': 2519424, 'label': '3W1', 'order': 3, 'powers': [38, 1], 'representative': 16424235771615041280, 'size': 576}
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id: 156308188
{'aut_label': '3W1', 'centralizer': None, 'counter': 38, 'group_counter': 255, 'group_order': 2519424, 'label': '3W-1', 'order': 3, 'powers': [37, 1], 'representative': 5259450666637168680, 'size': 576}
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id: 156308189
{'aut_label': '3X1', 'centralizer': None, 'counter': 39, 'group_counter': 255, 'group_order': 2519424, 'label': '3X1', 'order': 3, 'powers': [40, 1], 'representative': 26901460506854315668, 'size': 864}
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id: 156308191
{'aut_label': '3X1', 'centralizer': None, 'counter': 40, 'group_counter': 255, 'group_order': 2519424, 'label': '3X-1', 'order': 3, 'powers': [39, 1], 'representative': 22114410261745265427, 'size': 864}
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id: 156308192
{'aut_label': '3Y1', 'centralizer': None, 'counter': 41, 'group_counter': 255, 'group_order': 2519424, 'label': '3Y1', 'order': 3, 'powers': [42, 1], 'representative': 7481638300129380864, 'size': 864}
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id: 156308193
{'aut_label': '3Y1', 'centralizer': None, 'counter': 42, 'group_counter': 255, 'group_order': 2519424, 'label': '3Y-1', 'order': 3, 'powers': [41, 1], 'representative': 31845662345419938024, 'size': 864}
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id: 156308194
{'aut_label': '3Z1', 'centralizer': None, 'counter': 43, 'group_counter': 255, 'group_order': 2519424, 'label': '3Z1', 'order': 3, 'powers': [44, 1], 'representative': 5258258062684845387, 'size': 1152}
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id: 156308195
{'aut_label': '3Z1', 'centralizer': None, 'counter': 44, 'group_counter': 255, 'group_order': 2519424, 'label': '3Z-1', 'order': 3, 'powers': [43, 1], 'representative': 5994788619562626387, 'size': 1152}
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id: 156308196
{'aut_label': '3AA1', 'centralizer': None, 'counter': 45, 'group_counter': 255, 'group_order': 2519424, 'label': '3AA1', 'order': 3, 'powers': [46, 1], 'representative': 21188203975789291704, 'size': 1296}
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id: 156308210
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id: 156308213
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id: 156308215
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id: 156308216
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id: 156308217
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{'aut_label': '6J', 'centralizer': None, 'counter': 65, 'group_counter': 255, 'group_order': 2519424, 'label': '6J', 'order': 6, 'powers': [13, 4], 'representative': 1603992504, 'size': 324}
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id: 156308219
{'aut_label': '6J', 'centralizer': None, 'counter': 66, 'group_counter': 255, 'group_order': 2519424, 'label': '6K', 'order': 6, 'powers': [13, 4], 'representative': 9247660069920, 'size': 324}
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id: 156308220
{'aut_label': '6L', 'centralizer': None, 'counter': 67, 'group_counter': 255, 'group_order': 2519424, 'label': '6L', 'order': 6, 'powers': [18, 4], 'representative': 14719435117878764160, 'size': 324}
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id: 156308224
{'aut_label': '6O', 'centralizer': None, 'counter': 70, 'group_counter': 255, 'group_order': 2519424, 'label': '6O', 'order': 6, 'powers': [14, 2], 'representative': 6206264663972376240, 'size': 432}
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id: 156308225
{'aut_label': '6P', 'centralizer': None, 'counter': 71, 'group_counter': 255, 'group_order': 2519424, 'label': '6P', 'order': 6, 'powers': [15, 2], 'representative': 1491499683, 'size': 648}
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id: 156308226
{'aut_label': '6Q', 'centralizer': None, 'counter': 72, 'group_counter': 255, 'group_order': 2519424, 'label': '6Q', 'order': 6, 'powers': [15, 4], 'representative': 1603992507, 'size': 648}
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id: 156308227
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id: 156308228
{'aut_label': '6Q', 'centralizer': None, 'counter': 74, 'group_counter': 255, 'group_order': 2519424, 'label': '6S', 'order': 6, 'powers': [15, 4], 'representative': 9247660069923, 'size': 648}
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id: 156308229
{'aut_label': '6R', 'centralizer': None, 'counter': 75, 'group_counter': 255, 'group_order': 2519424, 'label': '6T', 'order': 6, 'powers': [18, 3], 'representative': 9247780183225, 'size': 648}
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id: 156308230
{'aut_label': '6U', 'centralizer': None, 'counter': 76, 'group_counter': 255, 'group_order': 2519424, 'label': '6U', 'order': 6, 'powers': [18, 4], 'representative': 9249216462264, 'size': 648}
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id: 156308231
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id: 156308232
{'aut_label': '6W', 'centralizer': None, 'counter': 78, 'group_counter': 255, 'group_order': 2519424, 'label': '6W', 'order': 6, 'powers': [16, 3], 'representative': 64213576380721, 'size': 648}
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id: 156308233
{'aut_label': '6X', 'centralizer': None, 'counter': 79, 'group_counter': 255, 'group_order': 2519424, 'label': '6X', 'order': 6, 'powers': [16, 2], 'representative': 64215052939440, 'size': 648}
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id: 156308235
{'aut_label': '6Y', 'centralizer': None, 'counter': 80, 'group_counter': 255, 'group_order': 2519424, 'label': '6Y', 'order': 6, 'powers': [16, 4], 'representative': 72147320120880, 'size': 648}
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id: 156308236
{'aut_label': '6Z', 'centralizer': None, 'counter': 81, 'group_counter': 255, 'group_order': 2519424, 'label': '6Z', 'order': 6, 'powers': [21, 4], 'representative': 5352761028552134667, 'size': 648}
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id: 156308237
{'aut_label': '6Z', 'centralizer': None, 'counter': 82, 'group_counter': 255, 'group_order': 2519424, 'label': '6AA', 'order': 6, 'powers': [21, 4], 'representative': 5354393188404602883, 'size': 648}
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id: 156308238
{'aut_label': '6AB1', 'centralizer': None, 'counter': 83, 'group_counter': 255, 'group_order': 2519424, 'label': '6AB1', 'order': 6, 'powers': [22, 5], 'representative': 371823041106811561, 'size': 648}
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id: 156308239
{'aut_label': '6AB1', 'centralizer': None, 'counter': 84, 'group_counter': 255, 'group_order': 2519424, 'label': '6AB-1', 'order': 6, 'powers': [23, 5], 'representative': 1101575915504599801, 'size': 648}
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id: 156308240
{'aut_label': '6AC', 'centralizer': None, 'counter': 85, 'group_counter': 255, 'group_order': 2519424, 'label': '6AC', 'order': 6, 'powers': [17, 2], 'representative': 493410611565791283, 'size': 864}
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id: 156308241
{'aut_label': '6AD', 'centralizer': None, 'counter': 86, 'group_counter': 255, 'group_order': 2519424, 'label': '6AD', 'order': 6, 'powers': [24, 3], 'representative': 493410611645624905, 'size': 864}
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id: 156308242
{'aut_label': '6AD', 'centralizer': None, 'counter': 87, 'group_counter': 255, 'group_order': 2519424, 'label': '6AE', 'order': 6, 'powers': [24, 3], 'representative': 494854371245991601, 'size': 864}
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id: 156308243
{'aut_label': '6AF', 'centralizer': None, 'counter': 88, 'group_counter': 255, 'group_order': 2519424, 'label': '6AF', 'order': 6, 'powers': [24, 2], 'representative': 512973333012613704, 'size': 864}
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id: 156308244
{'aut_label': '6AG', 'centralizer': None, 'counter': 89, 'group_counter': 255, 'group_order': 2519424, 'label': '6AG', 'order': 6, 'powers': [12, 6], 'representative': 9291760876107, 'size': 972}
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id: 156308246
{'aut_label': '6AH', 'centralizer': None, 'counter': 90, 'group_counter': 255, 'group_order': 2519424, 'label': '6AH', 'order': 6, 'powers': [13, 5], 'representative': 9291884618185, 'size': 972}
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id: 156308247
{'aut_label': '6AI', 'centralizer': None, 'counter': 91, 'group_counter': 255, 'group_order': 2519424, 'label': '6AI', 'order': 6, 'powers': [13, 6], 'representative': 9293324888904, 'size': 972}
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id: 156308248
{'aut_label': '6AI', 'centralizer': None, 'counter': 92, 'group_counter': 255, 'group_order': 2519424, 'label': '6AJ', 'order': 6, 'powers': [13, 6], 'representative': 1808740349359944, 'size': 972}
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id: 156308249
{'aut_label': '6AK', 'centralizer': None, 'counter': 93, 'group_counter': 255, 'group_order': 2519424, 'label': '6AK', 'order': 6, 'powers': [21, 4], 'representative': 9249216462267, 'size': 1296}
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id: 156308250
{'aut_label': '6AL', 'centralizer': None, 'counter': 94, 'group_counter': 255, 'group_order': 2519424, 'label': '6AL', 'order': 6, 'powers': [21, 2], 'representative': 9291892238667, 'size': 1296}
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id: 156308251
{'aut_label': '6AM', 'centralizer': None, 'counter': 95, 'group_counter': 255, 'group_order': 2519424, 'label': '6AM', 'order': 6, 'powers': [19, 2], 'representative': 64215052939443, 'size': 1296}
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id: 156308252
{'aut_label': '6AN', 'centralizer': None, 'counter': 96, 'group_counter': 255, 'group_order': 2519424, 'label': '6AN', 'order': 6, 'powers': [26, 3], 'representative': 64215172730185, 'size': 1296}
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id: 156308253
{'aut_label': '6AO', 'centralizer': None, 'counter': 97, 'group_counter': 255, 'group_order': 2519424, 'label': '6AO', 'order': 6, 'powers': [19, 4], 'representative': 72147320120883, 'size': 1296}
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id: 156308254
{'aut_label': '6AP', 'centralizer': None, 'counter': 98, 'group_counter': 255, 'group_order': 2519424, 'label': '6AP', 'order': 6, 'powers': [26, 3], 'representative': 72147440234185, 'size': 1296}
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id: 156308255
{'aut_label': '6AQ', 'centralizer': None, 'counter': 99, 'group_counter': 255, 'group_order': 2519424, 'label': '6AQ', 'order': 6, 'powers': [26, 4], 'representative': 72148876513224, 'size': 1296}
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id: 156307988
{'aut_label': '6AN', 'centralizer': None, 'counter': 100, 'group_counter': 255, 'group_order': 2519424, 'label': '6AR', 'order': 6, 'powers': [26, 3], 'representative': 1808702551779385, 'size': 1296}
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{'aut_label': '6AS', 'centralizer': None, 'counter': 101, 'group_counter': 255, 'group_order': 2519424, 'label': '6AS', 'order': 6, 'powers': [26, 2], 'representative': 1808740436451144, 'size': 1296}
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id: 156307990
{'aut_label': '6AQ', 'centralizer': None, 'counter': 102, 'group_counter': 255, 'group_order': 2519424, 'label': '6AT', 'order': 6, 'powers': [26, 4], 'representative': 1871595904613040, 'size': 1296}
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id: 156307991
{'aut_label': '6AU', 'centralizer': None, 'counter': 103, 'group_counter': 255, 'group_order': 2519424, 'label': '6AU', 'order': 6, 'powers': [14, 5], 'representative': 5379857356624229665, 'size': 1296}
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{'aut_label': '6AV', 'centralizer': None, 'counter': 104, 'group_counter': 255, 'group_order': 2519424, 'label': '6AV', 'order': 6, 'powers': [27, 4], 'representative': 15951745565084026824, 'size': 1296}
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id: 156307993
{'aut_label': '6AW', 'centralizer': None, 'counter': 105, 'group_counter': 255, 'group_order': 2519424, 'label': '6AW', 'order': 6, 'powers': [12, 7], 'representative': 51819689547, 'size': 1458}
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id: 156307994
{'aut_label': '6AX', 'centralizer': None, 'counter': 106, 'group_counter': 255, 'group_order': 2519424, 'label': '6AX', 'order': 6, 'powers': [12, 8], 'representative': 15221519269817114163, 'size': 1458}
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id: 156307995
{'aut_label': '6AY', 'centralizer': None, 'counter': 107, 'group_counter': 255, 'group_order': 2519424, 'label': '6AY', 'order': 6, 'powers': [30, 3], 'representative': 6236854825211884106, 'size': 1728}
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id: 156307996
{'aut_label': '6AZ', 'centralizer': None, 'counter': 108, 'group_counter': 255, 'group_order': 2519424, 'label': '6AZ', 'order': 6, 'powers': [31, 2], 'representative': 5381070877168041628, 'size': 1728}
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id: 156307997
{'aut_label': '6BA', 'centralizer': None, 'counter': 109, 'group_counter': 255, 'group_order': 2519424, 'label': '6BA', 'order': 6, 'powers': [15, 6], 'representative': 512952366030834387, 'size': 1944}
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id: 156307999
{'aut_label': '6BB', 'centralizer': None, 'counter': 110, 'group_counter': 255, 'group_order': 2519424, 'label': '6BB', 'order': 6, 'powers': [16, 6], 'representative': 1370907101799583944, 'size': 1944}
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id: 156308000
{'aut_label': '6BA', 'centralizer': None, 'counter': 111, 'group_counter': 255, 'group_order': 2519424, 'label': '6BC', 'order': 6, 'powers': [15, 6], 'representative': 15207478806492817924, 'size': 1944}
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id: 156308001
{'aut_label': '6BD', 'centralizer': None, 'counter': 112, 'group_counter': 255, 'group_order': 2519424, 'label': '6BD', 'order': 6, 'powers': [16, 5], 'representative': 4990381148047403521, 'size': 1944}
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id: 156308002
{'aut_label': '6BE1', 'centralizer': None, 'counter': 113, 'group_counter': 255, 'group_order': 2519424, 'label': '6BE1', 'order': 6, 'powers': [23, 6], 'representative': 15705915843308999160, 'size': 1944}
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id: 156308003
{'aut_label': '6BE1', 'centralizer': None, 'counter': 114, 'group_counter': 255, 'group_order': 2519424, 'label': '6BE-1', 'order': 6, 'powers': [22, 6], 'representative': 15341064264369779880, 'size': 1944}
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{'aut_label': '6BG1', 'centralizer': None, 'counter': 117, 'group_counter': 255, 'group_order': 2519424, 'label': '6BG1', 'order': 6, 'powers': [23, 3], 'representative': 41532663164343806305, 'size': 1944}
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{'aut_label': '6BG1', 'centralizer': None, 'counter': 118, 'group_counter': 255, 'group_order': 2519424, 'label': '6BG-1', 'order': 6, 'powers': [22, 3], 'representative': 26898970650344196625, 'size': 1944}
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id: 156308008
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id: 156308010
{'aut_label': '6BI', 'centralizer': None, 'counter': 120, 'group_counter': 255, 'group_order': 2519424, 'label': '6BI', 'order': 6, 'powers': [27, 3], 'representative': 5355281104341197281, 'size': 2592}
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{'aut_label': '6BK', 'centralizer': None, 'counter': 122, 'group_counter': 255, 'group_order': 2519424, 'label': '6BK', 'order': 6, 'powers': [33, 2], 'representative': 5354214042057635043, 'size': 2592}
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{'aut_label': '6BJ', 'centralizer': None, 'counter': 123, 'group_counter': 255, 'group_order': 2519424, 'label': '6BL', 'order': 6, 'powers': [33, 4], 'representative': 1344938083700163868, 'size': 2592}
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{'aut_label': '6BM', 'centralizer': None, 'counter': 124, 'group_counter': 255, 'group_order': 2519424, 'label': '6BM', 'order': 6, 'powers': [18, 7], 'representative': 1372346719773948984, 'size': 2916}
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{'aut_label': '6BN', 'centralizer': None, 'counter': 127, 'group_counter': 255, 'group_order': 2519424, 'label': '6BP', 'order': 6, 'powers': [13, 9], 'representative': 14719442965749774725, 'size': 2916}
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id: 156308030
{'aut_label': '6BV1', 'centralizer': None, 'counter': 139, 'group_counter': 255, 'group_order': 2519424, 'label': '6BW-1', 'order': 6, 'powers': [35, 6], 'representative': 16301306665658176680, 'size': 3888}
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id: 156308032
{'aut_label': '6BX1', 'centralizer': None, 'counter': 140, 'group_counter': 255, 'group_order': 2519424, 'label': '6BX1', 'order': 6, 'powers': [35, 5], 'representative': 26901460506974055989, 'size': 3888}
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id: 156308033
{'aut_label': '6BX1', 'centralizer': None, 'counter': 141, 'group_counter': 255, 'group_order': 2519424, 'label': '6BX-1', 'order': 6, 'powers': [36, 5], 'representative': 31846018032916951829, 'size': 3888}
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id: 156308034
{'aut_label': '6BY1', 'centralizer': None, 'counter': 142, 'group_counter': 255, 'group_order': 2519424, 'label': '6BY1', 'order': 6, 'powers': [35, 2], 'representative': 27392976066296374704, 'size': 3888}
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id: 156308035
{'aut_label': '6BY1', 'centralizer': None, 'counter': 143, 'group_counter': 255, 'group_order': 2519424, 'label': '6BY-1', 'order': 6, 'powers': [36, 2], 'representative': 22575546153481065864, 'size': 3888}
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id: 156308036
{'aut_label': '6BZ1', 'centralizer': None, 'counter': 144, 'group_counter': 255, 'group_order': 2519424, 'label': '6BZ1', 'order': 6, 'powers': [29, 6], 'representative': 28156306019348829028, 'size': 3888}
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id: 156308037
{'aut_label': '6BZ1', 'centralizer': None, 'counter': 145, 'group_counter': 255, 'group_order': 2519424, 'label': '6BZ-1', 'order': 6, 'powers': [28, 6], 'representative': 33147312706020850707, 'size': 3888}
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id: 156308038
{'aut_label': '6CA1', 'centralizer': None, 'counter': 146, 'group_counter': 255, 'group_order': 2519424, 'label': '6CA1', 'order': 6, 'powers': [37, 5], 'representative': 6604222448764609442, 'size': 5184}
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id: 156308039
{'aut_label': '6CA1', 'centralizer': None, 'counter': 147, 'group_counter': 255, 'group_order': 2519424, 'label': '6CA-1', 'order': 6, 'powers': [38, 5], 'representative': 15694531337158068266, 'size': 5184}
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id: 156308040
{'aut_label': '6CB', 'centralizer': None, 'counter': 148, 'group_counter': 255, 'group_order': 2519424, 'label': '6CB', 'order': 6, 'powers': [15, 7], 'representative': 15220452206535620404, 'size': 5832}
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id: 156308041
{'aut_label': '6CC', 'centralizer': None, 'counter': 149, 'group_counter': 255, 'group_order': 2519424, 'label': '6CC', 'order': 6, 'powers': [16, 9], 'representative': 5352970343821654322, 'size': 5832}
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id: 156308043
{'aut_label': '6CD', 'centralizer': None, 'counter': 150, 'group_counter': 255, 'group_order': 2519424, 'label': '6CD', 'order': 6, 'powers': [18, 9], 'representative': 493401370260216265, 'size': 5832}
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id: 156308044
{'aut_label': '6CE', 'centralizer': None, 'counter': 151, 'group_counter': 255, 'group_order': 2519424, 'label': '6CE', 'order': 6, 'powers': [21, 7], 'representative': 14728397919073620507, 'size': 5832}
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id: 156308045
{'aut_label': '6CD', 'centralizer': None, 'counter': 152, 'group_counter': 255, 'group_order': 2519424, 'label': '6CF', 'order': 6, 'powers': [18, 9], 'representative': 15949255747931177786, 'size': 5832}
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id: 156308046
{'aut_label': '6CG1', 'centralizer': None, 'counter': 153, 'group_counter': 255, 'group_order': 2519424, 'label': '6CG1', 'order': 6, 'powers': [22, 5], 'representative': 7845462080421599666, 'size': 5832}
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id: 156308047
{'aut_label': '6CG1', 'centralizer': None, 'counter': 154, 'group_counter': 255, 'group_order': 2519424, 'label': '6CG-1', 'order': 6, 'powers': [23, 5], 'representative': 22574833470790853066, 'size': 5832}
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id: 156308048
{'aut_label': '6CH1', 'centralizer': None, 'counter': 155, 'group_counter': 255, 'group_order': 2519424, 'label': '6CH1', 'order': 6, 'powers': [23, 8], 'representative': 6693691138706649000, 'size': 5832}
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id: 156308049
{'aut_label': '6CH1', 'centralizer': None, 'counter': 156, 'group_counter': 255, 'group_order': 2519424, 'label': '6CH-1', 'order': 6, 'powers': [22, 8], 'representative': 5233841434216005960, 'size': 5832}
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id: 156308050
{'aut_label': '6CI1', 'centralizer': None, 'counter': 157, 'group_counter': 255, 'group_order': 2519424, 'label': '6CI1', 'order': 6, 'powers': [39, 2], 'representative': 22601343735470880867, 'size': 7776}
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id: 156308051
{'aut_label': '6CI1', 'centralizer': None, 'counter': 158, 'group_counter': 255, 'group_order': 2519424, 'label': '6CI-1', 'order': 6, 'powers': [40, 2], 'representative': 27394440666857563108, 'size': 7776}
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id: 156308052
{'aut_label': '6CJ1', 'centralizer': None, 'counter': 159, 'group_counter': 255, 'group_order': 2519424, 'label': '6CJ1', 'order': 6, 'powers': [40, 6], 'representative': 20823241207137386427, 'size': 7776}
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id: 156308054
{'aut_label': '6CJ-1', 'centralizer': None, 'counter': 160, 'group_counter': 255, 'group_order': 2519424, 'label': '6CJ-1', 'order': 6, 'powers': [39, 6], 'representative': 32288124882752052508, 'size': 7776}
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id: 156308055
{'aut_label': '6CK1', 'centralizer': None, 'counter': 161, 'group_counter': 255, 'group_order': 2519424, 'label': '6CK1', 'order': 6, 'powers': [41, 5], 'representative': 41558418944437425985, 'size': 7776}
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id: 156308056
{'aut_label': '6CK1', 'centralizer': None, 'counter': 162, 'group_counter': 255, 'group_order': 2519424, 'label': '6CK-1', 'order': 6, 'powers': [42, 5], 'representative': 26901460505545080625, 'size': 7776}
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id: 156308057
{'aut_label': '6CJ-1', 'centralizer': None, 'counter': 163, 'group_counter': 255, 'group_order': 2519424, 'label': '6CL1', 'order': 6, 'powers': [40, 6], 'representative': 374439772847488587, 'size': 7776}
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id: 156308058
{'aut_label': '6CJ1', 'centralizer': None, 'counter': 164, 'group_counter': 255, 'group_order': 2519424, 'label': '6CL-1', 'order': 6, 'powers': [39, 6], 'representative': 1590999295346704924, 'size': 7776}
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id: 156308059
{'aut_label': '6CM1', 'centralizer': None, 'counter': 165, 'group_counter': 255, 'group_order': 2519424, 'label': '6CM1', 'order': 6, 'powers': [41, 6], 'representative': 22602252525447587784, 'size': 7776}
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id: 156308060
{'aut_label': '6CM1', 'centralizer': None, 'counter': 166, 'group_counter': 255, 'group_order': 2519424, 'label': '6CM-1', 'order': 6, 'powers': [42, 6], 'representative': 28154167910852102064, 'size': 7776}
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id: 156308061
{'aut_label': '6CN1', 'centralizer': None, 'counter': 167, 'group_counter': 255, 'group_order': 2519424, 'label': '6CN1', 'order': 6, 'powers': [42, 3], 'representative': 26900044375675047266, 'size': 7776}
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id: 156308062
{'aut_label': '6CN1', 'centralizer': None, 'counter': 168, 'group_counter': 255, 'group_order': 2519424, 'label': '6CN-1', 'order': 6, 'powers': [41, 3], 'representative': 41558428185851447282, 'size': 7776}
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id: 156308063
{'aut_label': '6CO', 'centralizer': None, 'counter': 169, 'group_counter': 255, 'group_order': 2519424, 'label': '6CO', 'order': 6, 'powers': [13, 11], 'representative': 15950556883455558746, 'size': 8748}
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id: 156308065
{'aut_label': '6CP', 'centralizer': None, 'counter': 170, 'group_counter': 255, 'group_order': 2519424, 'label': '6CP', 'order': 6, 'powers': [26, 9], 'representative': 514198498879035389, 'size': 11664}
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id: 156308066
{'aut_label': '6CQ', 'centralizer': None, 'counter': 171, 'group_counter': 255, 'group_order': 2519424, 'label': '6CQ', 'order': 6, 'powers': [18, 10], 'representative': 39957845528475843365, 'size': 11664}
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id: 156308067
{'aut_label': '6CR1', 'centralizer': None, 'counter': 172, 'group_counter': 255, 'group_order': 2519424, 'label': '6CR1', 'order': 6, 'powers': [28, 8], 'representative': 22575713503711417227, 'size': 11664}
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id: 156308068
{'aut_label': '6CR1', 'centralizer': None, 'counter': 173, 'group_counter': 255, 'group_order': 2519424, 'label': '6CR-1', 'order': 6, 'powers': [29, 8], 'representative': 20094437660712349708, 'size': 11664}
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id: 156308069
{'aut_label': '6CS1', 'centralizer': None, 'counter': 174, 'group_counter': 255, 'group_order': 2519424, 'label': '6CS1', 'order': 6, 'powers': [45, 8], 'representative': 43147851450636121440, 'size': 11664}
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id: 156308070
{'aut_label': '6CS1', 'centralizer': None, 'counter': 175, 'group_counter': 255, 'group_order': 2519424, 'label': '6CS-1', 'order': 6, 'powers': [46, 8], 'representative': 27662067888670626744, 'size': 11664}
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id: 156308071
{'aut_label': '6CT', 'centralizer': None, 'counter': 176, 'group_counter': 255, 'group_order': 2519424, 'label': '6CT', 'order': 6, 'powers': [20, 10], 'representative': 34486960969563914282, 'size': 15552}
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id: 156308072
{'aut_label': '6CU1', 'centralizer': None, 'counter': 177, 'group_counter': 255, 'group_order': 2519424, 'label': '6CU1', 'order': 6, 'powers': [47, 6], 'representative': 5995646458753649764, 'size': 15552}
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id: 156308073
{'aut_label': '6CU1', 'centralizer': None, 'counter': 178, 'group_counter': 255, 'group_order': 2519424, 'label': '6CU-1', 'order': 6, 'powers': [48, 6], 'representative': 16302814414787582643, 'size': 15552}
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id: 156308074
{'aut_label': '6CV1', 'centralizer': None, 'counter': 179, 'group_counter': 255, 'group_order': 2519424, 'label': '6CV1', 'order': 6, 'powers': [22, 11], 'representative': 7847951859881321185, 'size': 17496}
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id: 156308076
{'aut_label': '6CV1', 'centralizer': None, 'counter': 180, 'group_counter': 255, 'group_order': 2519424, 'label': '6CV-1', 'order': 6, 'powers': [23, 11], 'representative': 32287234345134174865, 'size': 17496}
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id: 156308077
{'aut_label': '6CW', 'centralizer': None, 'counter': 181, 'group_counter': 255, 'group_order': 2519424, 'label': '6CW', 'order': 6, 'powers': [49, 8], 'representative': 8949195605971678584, 'size': 23328}
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id: 156308078
{'aut_label': '6CX', 'centralizer': None, 'counter': 182, 'group_counter': 255, 'group_order': 2519424, 'label': '6CX', 'order': 6, 'powers': [27, 10], 'representative': 38124498573388569602, 'size': 23328}
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id: 156308079
{'aut_label': '6CY1', 'centralizer': None, 'counter': 183, 'group_counter': 255, 'group_order': 2519424, 'label': '6CY1', 'order': 6, 'powers': [50, 8], 'representative': 27298537055892436467, 'size': 23328}
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id: 156308080
{'aut_label': '6CY1', 'centralizer': None, 'counter': 184, 'group_counter': 255, 'group_order': 2519424, 'label': '6CY-1', 'order': 6, 'powers': [51, 8], 'representative': 23575704995782816108, 'size': 23328}
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id: 156308081
{'aut_label': '6CZ1', 'centralizer': None, 'counter': 185, 'group_counter': 255, 'group_order': 2519424, 'label': '6CZ1', 'order': 6, 'powers': [46, 5], 'representative': 20336295970624330346, 'size': 23328}
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id: 156308082
{'aut_label': '6CZ1', 'centralizer': None, 'counter': 186, 'group_counter': 255, 'group_order': 2519424, 'label': '6CZ-1', 'order': 6, 'powers': [45, 5], 'representative': 43120924080947249066, 'size': 23328}
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id: 156308083
{'aut_label': '6DA1', 'centralizer': None, 'counter': 187, 'group_counter': 255, 'group_order': 2519424, 'label': '6DA1', 'order': 6, 'powers': [49, 5], 'representative': 23678288332921606589, 'size': 23328}
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id: 156308084
{'aut_label': '6DA1', 'centralizer': None, 'counter': 188, 'group_counter': 255, 'group_order': 2519424, 'label': '6DA-1', 'order': 6, 'powers': [49, 5], 'representative': 28034773379328085229, 'size': 23328}
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id: 156308085
{'aut_label': '6DB1', 'centralizer': None, 'counter': 189, 'group_counter': 255, 'group_order': 2519424, 'label': '6DB1', 'order': 6, 'powers': [35, 11], 'representative': 16301390357300368445, 'size': 34992}
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id: 156308087
{'aut_label': '6DB1', 'centralizer': None, 'counter': 190, 'group_counter': 255, 'group_order': 2519424, 'label': '6DB-1', 'order': 6, 'powers': [36, 11], 'representative': 6480116270090689685, 'size': 34992}
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id: 156308088
{'aut_label': '6DC', 'centralizer': None, 'counter': 191, 'group_counter': 255, 'group_order': 2519424, 'label': '6DC', 'order': 6, 'powers': [52, 8], 'representative': 32532861384081319923, 'size': 46656}
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id: 156308089
{'aut_label': '6DD1', 'centralizer': None, 'counter': 192, 'group_counter': 255, 'group_order': 2519424, 'label': '6DD1', 'order': 6, 'powers': [45, 10], 'representative': 36072866634901292165, 'size': 69984}
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id: 156308090
{'aut_label': '6DD1', 'centralizer': None, 'counter': 193, 'group_counter': 255, 'group_order': 2519424, 'label': '6DD-1', 'order': 6, 'powers': [46, 10], 'representative': 37514566488359051549, 'size': 69984}
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id: 156308091
{'aut_label': '9A1', 'centralizer': None, 'counter': 194, 'group_counter': 255, 'group_order': 2519424, 'label': '9A1', 'order': 9, 'powers': [195, 14], 'representative': 41557852639388822544, 'size': 144}
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id: 156308092
{'aut_label': '9A1', 'centralizer': None, 'counter': 195, 'group_counter': 255, 'group_order': 2519424, 'label': '9A-1', 'order': 9, 'powers': [194, 14], 'representative': 7460944411642007184, 'size': 144}
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id: 156308093
{'aut_label': '9B1', 'centralizer': None, 'counter': 196, 'group_counter': 255, 'group_order': 2519424, 'label': '9B1', 'order': 9, 'powers': [197, 14], 'representative': 1588200815953756084, 'size': 288}
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id: 156308094
{'aut_label': '9B1', 'centralizer': None, 'counter': 197, 'group_counter': 255, 'group_order': 2519424, 'label': '9B-1', 'order': 9, 'powers': [196, 14], 'representative': 1709937459806254683, 'size': 288}
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id: 156308095
{'aut_label': '9C1', 'centralizer': None, 'counter': 198, 'group_counter': 255, 'group_order': 2519424, 'label': '9C1', 'order': 9, 'powers': [199, 14], 'representative': 22114199644234065624, 'size': 864}
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id: 156308096
{'aut_label': '9C1', 'centralizer': None, 'counter': 199, 'group_counter': 255, 'group_order': 2519424, 'label': '9C-1', 'order': 9, 'powers': [198, 14], 'representative': 19601267794523702184, 'size': 864}
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id: 156308099
{'aut_label': '9D1', 'centralizer': None, 'counter': 200, 'group_counter': 255, 'group_order': 2519424, 'label': '9D1', 'order': 9, 'powers': [201, 14], 'representative': 5258258062692467280, 'size': 1152}
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id: 156308100
{'aut_label': '9D1', 'centralizer': None, 'counter': 201, 'group_counter': 255, 'group_order': 2519424, 'label': '9D-1', 'order': 9, 'powers': [200, 14], 'representative': 5994788619566257440, 'size': 1152}
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id: 156308101
{'aut_label': '9E1', 'centralizer': None, 'counter': 202, 'group_counter': 255, 'group_order': 2519424, 'label': '9E1', 'order': 9, 'powers': [203, 14], 'representative': 5258258062692467283, 'size': 1152}
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id: 156308102
{'aut_label': '9E1', 'centralizer': None, 'counter': 203, 'group_counter': 255, 'group_order': 2519424, 'label': '9E-1', 'order': 9, 'powers': [202, 14], 'representative': 5994788619566257444, 'size': 1152}
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id: 156308103
{'aut_label': '9E1', 'centralizer': None, 'counter': 204, 'group_counter': 255, 'group_order': 2519424, 'label': '9F1', 'order': 9, 'powers': [205, 14], 'representative': 5258258062692467284, 'size': 1152}
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id: 156308104
{'aut_label': '9E1', 'centralizer': None, 'counter': 205, 'group_counter': 255, 'group_order': 2519424, 'label': '9F-1', 'order': 9, 'powers': [204, 14], 'representative': 5994788619566257443, 'size': 1152}
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id: 156308105
{'aut_label': '9G1', 'centralizer': None, 'counter': 206, 'group_counter': 255, 'group_order': 2519424, 'label': '9G1', 'order': 9, 'powers': [207, 14], 'representative': 19646274973627736064, 'size': 1728}
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id: 156308106
{'aut_label': '9G1', 'centralizer': None, 'counter': 207, 'group_counter': 255, 'group_order': 2519424, 'label': '9G-1', 'order': 9, 'powers': [206, 14], 'representative': 31802479493288072424, 'size': 1728}
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id: 156308107
{'aut_label': '9H1', 'centralizer': None, 'counter': 208, 'group_counter': 255, 'group_order': 2519424, 'label': '9H1', 'order': 9, 'powers': [209, 14], 'representative': 1588200816092466964, 'size': 1728}
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id: 156308108
{'aut_label': '9H1', 'centralizer': None, 'counter': 209, 'group_counter': 255, 'group_order': 2519424, 'label': '9H-1', 'order': 9, 'powers': [208, 14], 'representative': 1710021157400394843, 'size': 1728}
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id: 156308110
{'aut_label': '9I1', 'centralizer': None, 'counter': 210, 'group_counter': 255, 'group_order': 2519424, 'label': '9I1', 'order': 9, 'powers': [211, 14], 'representative': 15330287831078677083, 'size': 3456}
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id: 156308111
{'aut_label': '9I1', 'centralizer': None, 'counter': 211, 'group_counter': 255, 'group_order': 2519424, 'label': '9I-1', 'order': 9, 'powers': [210, 14], 'representative': 6481533776153356804, 'size': 3456}
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id: 156308112
{'aut_label': '9J1', 'centralizer': None, 'counter': 212, 'group_counter': 255, 'group_order': 2519424, 'label': '9J1', 'order': 9, 'powers': [213, 20], 'representative': 33510833085411895104, 'size': 5184}
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id: 156308113
{'aut_label': '9J1', 'centralizer': None, 'counter': 213, 'group_counter': 255, 'group_order': 2519424, 'label': '9J-1', 'order': 9, 'powers': [212, 20], 'representative': 27637796332417824960, 'size': 5184}
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id: 156308114
{'aut_label': '9K1', 'centralizer': None, 'counter': 214, 'group_counter': 255, 'group_order': 2519424, 'label': '9K1', 'order': 9, 'powers': [215, 14], 'representative': 32210579363656871784, 'size': 5184}
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id: 156308115
{'aut_label': '9K1', 'centralizer': None, 'counter': 215, 'group_counter': 255, 'group_order': 2519424, 'label': '9K-1', 'order': 9, 'powers': [214, 14], 'representative': 8929919277745039584, 'size': 5184}
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id: 156308116
{'aut_label': '9L1', 'centralizer': None, 'counter': 216, 'group_counter': 255, 'group_order': 2519424, 'label': '9L1', 'order': 9, 'powers': [217, 14], 'representative': 43363292383949137344, 'size': 5184}
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id: 156308117
{'aut_label': '9L1', 'centralizer': None, 'counter': 217, 'group_counter': 255, 'group_order': 2519424, 'label': '9L-1', 'order': 9, 'powers': [216, 14], 'representative': 7707272531145885624, 'size': 5184}
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id: 156308118
{'aut_label': '9M', 'centralizer': None, 'counter': 218, 'group_counter': 255, 'group_order': 2519424, 'label': '9M', 'order': 9, 'powers': [218, 20], 'representative': 28399538588519798184, 'size': 10368}
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id: 156308119
{'aut_label': '9N', 'centralizer': None, 'counter': 219, 'group_counter': 255, 'group_order': 2519424, 'label': '9N', 'order': 9, 'powers': [219, 20], 'representative': 21312172780473659283, 'size': 10368}
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id: 156308121
{'aut_label': '9N', 'centralizer': None, 'counter': 220, 'group_counter': 255, 'group_order': 2519424, 'label': '9O', 'order': 9, 'powers': [220, 20], 'representative': 20619233095956405387, 'size': 10368}
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id: 156308122
{'aut_label': '9P1', 'centralizer': None, 'counter': 221, 'group_counter': 255, 'group_order': 2519424, 'label': '9P1', 'order': 9, 'powers': [222, 14], 'representative': 28397575846115845348, 'size': 10368}
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id: 156308123
{'aut_label': '9P1', 'centralizer': None, 'counter': 222, 'group_counter': 255, 'group_order': 2519424, 'label': '9P-1', 'order': 9, 'powers': [221, 14], 'representative': 32577656748001001523, 'size': 10368}
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id: 156308124
{'aut_label': '9Q1', 'centralizer': None, 'counter': 223, 'group_counter': 255, 'group_order': 2519424, 'label': '9Q1', 'order': 9, 'powers': [224, 14], 'representative': 27662077061478575548, 'size': 10368}
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id: 156308125
{'aut_label': '9Q1', 'centralizer': None, 'counter': 224, 'group_counter': 255, 'group_order': 2519424, 'label': '9Q-1', 'order': 9, 'powers': [223, 14], 'representative': 43365635724495330843, 'size': 10368}
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id: 156308126
{'aut_label': '9R1', 'centralizer': None, 'counter': 225, 'group_counter': 255, 'group_order': 2519424, 'label': '9R1', 'order': 9, 'powers': [226, 20], 'representative': 33266827580422681708, 'size': 10368}
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id: 156308127
{'aut_label': '9R1', 'centralizer': None, 'counter': 226, 'group_counter': 255, 'group_order': 2519424, 'label': '9R-1', 'order': 9, 'powers': [225, 20], 'representative': 8091412188685459347, 'size': 10368}
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id: 156308128
{'aut_label': '12A1', 'centralizer': None, 'counter': 227, 'group_counter': 255, 'group_order': 2519424, 'label': '12A1', 'order': 12, 'powers': [60, 53], 'representative': 35464740463022256243, 'size': 5832}
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id: 156308129
{'aut_label': '12A1', 'centralizer': None, 'counter': 228, 'group_counter': 255, 'group_order': 2519424, 'label': '12A5', 'order': 12, 'powers': [60, 53], 'representative': 35464740463022256244, 'size': 5832}
-
id: 156308130
{'aut_label': '12B', 'centralizer': None, 'counter': 229, 'group_counter': 255, 'group_order': 2519424, 'label': '12B', 'order': 12, 'powers': [67, 53], 'representative': 39959269582347340104, 'size': 11664}
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id: 156308132
{'aut_label': '12B', 'centralizer': None, 'counter': 230, 'group_counter': 255, 'group_order': 2519424, 'label': '12C', 'order': 12, 'powers': [68, 53], 'representative': 29464958242021863600, 'size': 11664}
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id: 156308133
{'aut_label': '12D1', 'centralizer': None, 'counter': 231, 'group_counter': 255, 'group_order': 2519424, 'label': '12D1', 'order': 12, 'powers': [81, 53], 'representative': 12165242874639135124, 'size': 11664}
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id: 156308134
{'aut_label': '12D1', 'centralizer': None, 'counter': 232, 'group_counter': 255, 'group_order': 2519424, 'label': '12D5', 'order': 12, 'powers': [81, 53], 'representative': 12165242874736751427, 'size': 11664}
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id: 156308135
{'aut_label': '12D1', 'centralizer': None, 'counter': 233, 'group_counter': 255, 'group_order': 2519424, 'label': '12E1', 'order': 12, 'powers': [82, 53], 'representative': 12166079792581472428, 'size': 11664}
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id: 156308136
{'aut_label': '12D1', 'centralizer': None, 'counter': 234, 'group_counter': 255, 'group_order': 2519424, 'label': '12E5', 'order': 12, 'powers': [82, 53], 'representative': 12168883515440756307, 'size': 11664}
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id: 156308137
{'aut_label': '12F1', 'centralizer': None, 'counter': 235, 'group_counter': 255, 'group_order': 2519424, 'label': '12F1', 'order': 12, 'powers': [106, 54], 'representative': 40348348291532388508, 'size': 17496}
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id: 156308138
{'aut_label': '12F1', 'centralizer': None, 'counter': 236, 'group_counter': 255, 'group_order': 2519424, 'label': '12F5', 'order': 12, 'powers': [106, 54], 'representative': 40348348291532388507, 'size': 17496}
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id: 156308139
{'aut_label': '12G', 'centralizer': None, 'counter': 237, 'group_counter': 255, 'group_order': 2519424, 'label': '12G', 'order': 12, 'powers': [104, 53], 'representative': 10747928296840549704, 'size': 23328}
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id: 156308140
{'aut_label': '12H1', 'centralizer': None, 'counter': 238, 'group_counter': 255, 'group_order': 2519424, 'label': '12H1', 'order': 12, 'powers': [119, 53], 'representative': 11277790882091607748, 'size': 23328}
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id: 156308141
{'aut_label': '12H1', 'centralizer': None, 'counter': 239, 'group_counter': 255, 'group_order': 2519424, 'label': '12H5', 'order': 12, 'powers': [119, 53], 'representative': 11772201638625886803, 'size': 23328}
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id: 156308143
{'aut_label': '12I1', 'centralizer': None, 'counter': 240, 'group_counter': 255, 'group_order': 2519424, 'label': '12I1', 'order': 12, 'powers': [174, 54], 'representative': 39257075714389763784, 'size': 69984}
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id: 156308144
{'aut_label': '12I1', 'centralizer': None, 'counter': 241, 'group_counter': 255, 'group_order': 2519424, 'label': '12I-1', 'order': 12, 'powers': [175, 54], 'representative': 13026979561650138840, 'size': 69984}
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id: 156308145
{'aut_label': '12J1', 'centralizer': None, 'counter': 242, 'group_counter': 255, 'group_order': 2519424, 'label': '12J1', 'order': 12, 'powers': [183, 54], 'representative': 35216624929822773124, 'size': 69984}
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id: 156308146
{'aut_label': '12J1', 'centralizer': None, 'counter': 243, 'group_counter': 255, 'group_order': 2519424, 'label': '12J-1', 'order': 12, 'powers': [184, 54], 'representative': 11036090943379600803, 'size': 69984}
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id: 156308147
{'aut_label': '12J1', 'centralizer': None, 'counter': 244, 'group_counter': 255, 'group_order': 2519424, 'label': '12J5', 'order': 12, 'powers': [184, 54], 'representative': 10989470012245296003, 'size': 69984}
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id: 156308148
{'aut_label': '12J1', 'centralizer': None, 'counter': 245, 'group_counter': 255, 'group_order': 2519424, 'label': '12J-5', 'order': 12, 'powers': [183, 54], 'representative': 35246861999177252428, 'size': 69984}
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id: 156308149
{'aut_label': '12K', 'centralizer': None, 'counter': 246, 'group_counter': 255, 'group_order': 2519424, 'label': '12K', 'order': 12, 'powers': [124, 55], 'representative': 24774625524320346481, 'size': 104976}
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id: 156308150
{'aut_label': '18A1', 'centralizer': None, 'counter': 247, 'group_counter': 255, 'group_order': 2519424, 'label': '18A1', 'order': 18, 'powers': [195, 69], 'representative': 22576634100579767909, 'size': 3888}
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id: 156308151
{'aut_label': '18A1', 'centralizer': None, 'counter': 248, 'group_counter': 255, 'group_order': 2519424, 'label': '18A-1', 'order': 18, 'powers': [194, 69], 'representative': 27418606275526341989, 'size': 3888}
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id: 156308152
{'aut_label': '18B1', 'centralizer': None, 'counter': 249, 'group_counter': 255, 'group_order': 2519424, 'label': '18B1', 'order': 18, 'powers': [194, 70], 'representative': 19647725203777266864, 'size': 3888}
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id: 156308154
{'aut_label': '18B1', 'centralizer': None, 'counter': 250, 'group_counter': 255, 'group_order': 2519424, 'label': '18B-1', 'order': 18, 'powers': [195, 70], 'representative': 31847450041211305104, 'size': 3888}
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id: 156308155
{'aut_label': '18C1', 'centralizer': None, 'counter': 251, 'group_counter': 255, 'group_order': 2519424, 'label': '18C1', 'order': 18, 'powers': [198, 69], 'representative': 7480513762838527229, 'size': 7776}
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id: 156308156
{'aut_label': '18C-1', 'centralizer': None, 'counter': 252, 'group_counter': 255, 'group_order': 2519424, 'label': '18C-1', 'order': 18, 'powers': [199, 69], 'representative': 31800643488697305869, 'size': 7776}
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id: 156308157
{'aut_label': '18C1', 'centralizer': None, 'counter': 253, 'group_counter': 255, 'group_order': 2519424, 'label': '18D1', 'order': 18, 'powers': [199, 69], 'representative': 23330313274522828561, 'size': 7776}
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id: 156308158
{'aut_label': '18C-1', 'centralizer': None, 'counter': 254, 'group_counter': 255, 'group_order': 2519424, 'label': '18D-1', 'order': 18, 'powers': [198, 69], 'representative': 7827331409541268825, 'size': 7776}
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id: 156308159
{'aut_label': '18E1', 'centralizer': None, 'counter': 255, 'group_counter': 255, 'group_order': 2519424, 'label': '18E1', 'order': 18, 'powers': [196, 70], 'representative': 371906746397000787, 'size': 7776}
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id: 156308160
{'aut_label': '18E1', 'centralizer': None, 'counter': 256, 'group_counter': 255, 'group_order': 2519424, 'label': '18E-1', 'order': 18, 'powers': [197, 70], 'representative': 1101575916724288564, 'size': 7776}
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id: 156308161
{'aut_label': '18F1', 'centralizer': None, 'counter': 257, 'group_counter': 255, 'group_order': 2519424, 'label': '18F1', 'order': 18, 'powers': [199, 70], 'representative': 33147312736165651440, 'size': 7776}
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id: 156308162
{'aut_label': '18F1', 'centralizer': None, 'counter': 258, 'group_counter': 255, 'group_order': 2519424, 'label': '18F-1', 'order': 18, 'powers': [198, 70], 'representative': 20868982016955409584, 'size': 7776}
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id: 156308163
{'aut_label': '18G1', 'centralizer': None, 'counter': 259, 'group_counter': 255, 'group_order': 2519424, 'label': '18G1', 'order': 18, 'powers': [194, 103], 'representative': 28122913413856600826, 'size': 11664}
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id: 156308165
{'aut_label': '18G1', 'centralizer': None, 'counter': 260, 'group_counter': 255, 'group_order': 2519424, 'label': '18G-1', 'order': 18, 'powers': [195, 103], 'representative': 33145931796056757626, 'size': 11664}
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id: 156308166
{'aut_label': '18H1', 'centralizer': None, 'counter': 261, 'group_counter': 255, 'group_order': 2519424, 'label': '18H1', 'order': 18, 'powers': [206, 69], 'representative': 42045205915432920265, 'size': 15552}
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id: 156308167
{'aut_label': '18H1', 'centralizer': None, 'counter': 262, 'group_counter': 255, 'group_order': 2519424, 'label': '18H-1', 'order': 18, 'powers': [207, 69], 'representative': 27392076436224293425, 'size': 15552}
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id: 156308168
{'aut_label': '18I1', 'centralizer': None, 'counter': 263, 'group_counter': 255, 'group_order': 2519424, 'label': '18I1', 'order': 18, 'powers': [208, 70], 'representative': 5597592068765819763, 'size': 15552}
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id: 156308169
{'aut_label': '18I1', 'centralizer': None, 'counter': 264, 'group_counter': 255, 'group_order': 2519424, 'label': '18I-1', 'order': 18, 'powers': [209, 70], 'representative': 6692812454797883308, 'size': 15552}
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id: 156308170
{'aut_label': '18J1', 'centralizer': None, 'counter': 265, 'group_counter': 255, 'group_order': 2519424, 'label': '18J1', 'order': 18, 'powers': [214, 103], 'representative': 20618605485529592545, 'size': 46656}
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id: 156308171
{'aut_label': '18J1', 'centralizer': None, 'counter': 266, 'group_counter': 255, 'group_order': 2519424, 'label': '18J-1', 'order': 18, 'powers': [215, 103], 'representative': 22820346710867225785, 'size': 46656}
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id: 156308172
{'aut_label': '18K1', 'centralizer': None, 'counter': 267, 'group_counter': 255, 'group_order': 2519424, 'label': '18K1', 'order': 18, 'powers': [216, 103], 'representative': 20336212210869527306, 'size': 46656}
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id: 156308173
{'aut_label': '18K1', 'centralizer': None, 'counter': 268, 'group_counter': 255, 'group_order': 2519424, 'label': '18K-1', 'order': 18, 'powers': [217, 103], 'representative': 23087875745744951042, 'size': 46656}
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id: 156308174
{'aut_label': '18L1', 'centralizer': None, 'counter': 269, 'group_counter': 255, 'group_order': 2519424, 'label': '18L1', 'order': 18, 'powers': [212, 176], 'representative': 14185894791833106482, 'size': 139968}
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id: 156308176
{'aut_label': '18L1', 'centralizer': None, 'counter': 270, 'group_counter': 255, 'group_order': 2519424, 'label': '18L-1', 'order': 18, 'powers': [213, 176], 'representative': 10427877012308204306, 'size': 139968}
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group 2519424.ju does not appear in gps_qchar
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group 2519424.ju does not appear in gps_char
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gps_subgroup_search • Show schema
Hide schema
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id: 173278994
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2519424, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '2519424.ju.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, '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'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2519424.ju', 'subgroup_hash': 7529139202950869898, 'subgroup_order': 2519424, 'subgroup_tex': 'C_3^6.A_4^2:D_{12}', 'supersolvable': False, 'sylow': 0}
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id: 173279105
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1259712, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.2.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, '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'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1008162474769126476, 'subgroup_order': 1259712, 'subgroup_tex': 'C_3^7.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279216
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1259712, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.2.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '1259712.it', 'subgroup_hash': 8853931639892605477, 'subgroup_order': 1259712, 'subgroup_tex': 'C_3^6.A_4^2:D_6', 'supersolvable': False, 'sylow': 0}
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id: 173279327
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1259712, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.2.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1259712.ix', 'subgroup_hash': 4359669617783441555, 'subgroup_order': 1259712, 'subgroup_tex': 'C_3^6.A_4^2:C_{12}', 'supersolvable': False, 'sylow': 0}
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id: 173279372
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 839808, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.3.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '839808.jw', 'subgroup_hash': 2538694194264683455, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^7.C_2\\wr S_3', 'supersolvable': False, 'sylow': 0}
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id: 173279383
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.3.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.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': 3, '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': '839808.a', 'subgroup_hash': 2149238803940111382, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^6.A_4^2:D_4', 'supersolvable': False, 'sylow': 0}
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id: 173279394
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.3.C', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.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': 3, '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': '839808.ju', 'subgroup_hash': 94300050673993574, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^7.C_2\\wr C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279405
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 629856, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.4.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, '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': ['C2'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5069480362671215651, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_2^4.C_3^3.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279416
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 314928, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.4.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 612218785561559192, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^7.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 173278995
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 314928, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.4.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '629856.e', 'subgroup_hash': 648589037842958114, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^7.A_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279006
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.6.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '419904.it', 'subgroup_hash': 6612148075400562053, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^4.D_6\\wr C_3', 'supersolvable': False, 'sylow': 0}
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id: 173279017
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.6.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '419904.it', 'subgroup_hash': 6612148075400562053, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^4.D_6\\wr C_3', 'supersolvable': False, 'sylow': 0}
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id: 173279028
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.6.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '419904.jr', 'subgroup_hash': 249684046167565084, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^7.C_2^3:S_4', 'supersolvable': False, 'sylow': 0}
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id: 173279039
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.6.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '419904.kf', 'subgroup_hash': 1921432463088813162, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^7.(C_2^3.S_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279050
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.6.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '419904.b', 'subgroup_hash': 7793778611581633484, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^6:(A_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279061
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.6.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, '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': None, 'subgroup_hash': 5209590353659926827, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^6.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279072
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 139968, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.6.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, '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': None, 'subgroup_hash': 6359015319751147944, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^7.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
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id: 173279083
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.6.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, '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': '419904.ik', 'subgroup_hash': 8539733777651993114, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^7.C_2^4:A_4', 'supersolvable': False, 'sylow': 0}
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id: 173279094
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.6.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, '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': '419904.a', 'subgroup_hash': 3140929916975451508, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^6.A_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279106
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 69984, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.6.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, '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': '419904.a', 'subgroup_hash': 3140929916975451508, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^6.A_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279117
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.6.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, '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': '419904.jm', 'subgroup_hash': 4398347423663335791, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^7.C_2^4:C_{12}', 'supersolvable': False, 'sylow': 0}
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id: 173279128
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 139968, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.6.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, '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': '419904.b', 'subgroup_hash': 7793778611581633484, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^6:(A_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279139
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 314928, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.8.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7003809475705726267, 'subgroup_order': 314928, 'subgroup_tex': 'C_3^6.C_2^4.C_3^3', 'supersolvable': False, 'sylow': 0}
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id: 173279150
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.8.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 376203751008833226, 'subgroup_order': 314928, 'subgroup_tex': 'C_3^7.A_4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279161
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 69984, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.9.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.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': 9, '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': '279936.a', 'subgroup_hash': 5642080417369034159, 'subgroup_order': 279936, 'subgroup_tex': 'C_3^6.C_2\\wr C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279172
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 139968, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.9.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.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': 9, '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': '279936.k', 'subgroup_hash': 3698900917859247304, 'subgroup_order': 279936, 'subgroup_tex': 'C_3^6.C_2\\wr S_3', 'supersolvable': False, 'sylow': 0}
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id: 173279183
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 139968, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.9.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.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': 9, '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': None, 'subgroup_hash': 2080980462176449112, 'subgroup_order': 279936, 'subgroup_tex': 'C_3^7.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279194
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 209952, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '209952.ib', 'subgroup_hash': 2561592504280865135, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^7.C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
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id: 173279205
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 209952, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, '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': ['D', 'L1', 'D1', 'C3'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '209952.ib', 'subgroup_hash': 2561592504280865135, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^7.C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
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id: 173279217
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 209952, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4748967431074108681, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^6.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279228
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, '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': None, 'subgroup_hash': 8269793982012375404, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^7.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
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id: 173279239
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, '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': None, 'subgroup_hash': 8078216010302524575, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^6.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279250
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, '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': None, 'subgroup_hash': 2806958195754286603, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^7.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
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id: 173279261
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, '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': None, 'subgroup_hash': 2806958195754286603, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^7.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
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id: 173279272
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, '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': None, 'subgroup_hash': 6820966217228132655, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^7.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
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id: 173279283
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, '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': '209952.hz', 'subgroup_hash': 913232588724972286, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^4.C_6^3:A_4', 'supersolvable': False, 'sylow': 0}
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id: 173279294
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, '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': '209952.hz', 'subgroup_hash': 913232588724972286, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^4.C_6^3:A_4', 'supersolvable': False, 'sylow': 0}
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id: 173279305
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, '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': None, 'subgroup_hash': 8269793982012375404, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^7.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
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id: 173279316
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, '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': None, 'subgroup_hash': 8263507658791778774, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^6.A_4.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279328
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 69984, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, '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': None, 'subgroup_hash': 8263507658791778774, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^6.C_2^2.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279339
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.n1', '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': 12, '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': None, 'subgroup_hash': 4748967431074108681, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^6.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279350
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 69984, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.o1', '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': 12, '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': None, 'subgroup_hash': 4748967431074108681, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^6.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279361
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 69984, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.p1', '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': 12, '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': None, 'subgroup_hash': 4748967431074108681, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^6.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 173279366
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.q1', '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': 12, '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': '209952.y', 'subgroup_hash': 8313924744156575404, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^7.C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
-
id: 173279367
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.r1', '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': 12, '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': '209952.b', 'subgroup_hash': 7370320408853941024, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^6:A_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279368
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.s1', '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': 12, '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': '209952.b', 'subgroup_hash': 7370320408853941024, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^6:A_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279369
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.t1', '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': 12, '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': '209952.z', 'subgroup_hash': 5280994060765535647, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^7.C_2^2:S_4', 'supersolvable': False, 'sylow': 0}
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id: 173279370
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.u1', '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': 12, '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': '209952.hc', 'subgroup_hash': 3646472788365777335, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^6.(A_4\\times D_{12})', 'supersolvable': False, 'sylow': 0}
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id: 173279371
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.12.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.v1', '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': 12, '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': '209952.gr', 'subgroup_hash': 3028711598054494339, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^7.\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
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id: 173279373
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.16.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5791062837921789829, 'subgroup_order': 157464, 'subgroup_tex': 'C_3^5.C_6^2.C_3.C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279374
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.16.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7934183796189196167, 'subgroup_order': 157464, 'subgroup_tex': 'C_3^6.C_6^2.C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279375
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.16.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7496738853501271190, 'subgroup_order': 157464, 'subgroup_tex': 'C_3^5.C_6^2.C_3.C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279376
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.16.D', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '157464.pm', 'subgroup_hash': 6296908080231110699, 'subgroup_order': 157464, 'subgroup_tex': 'C_3^5.C_3\\wr D_4', 'supersolvable': False, 'sylow': 0}
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id: 173279377
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 139968, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.18.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6574315981509422736, 'subgroup_order': 139968, 'subgroup_tex': 'C_3^7.C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 173279378
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 139968, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.18.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '139968.k', 'subgroup_hash': 5615025875378711360, 'subgroup_order': 139968, 'subgroup_tex': 'C_3^6:(C_2^3.S_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279379
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.18.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, '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': None, 'subgroup_hash': 9084581453545061427, 'subgroup_order': 139968, 'subgroup_tex': 'C_3^7.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279380
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.18.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, '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': None, 'subgroup_hash': 8926536564288604705, 'subgroup_order': 139968, 'subgroup_tex': 'C_3^7.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279381
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.18.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, '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': None, 'subgroup_hash': 8981603866387251947, 'subgroup_order': 139968, 'subgroup_tex': 'C_3^6.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 173279382
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 69984, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.18.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, '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': '139968.d', 'subgroup_hash': 11359813246965104, 'subgroup_order': 139968, 'subgroup_tex': 'S_3^3.S_3\\wr C_3', 'supersolvable': False, 'sylow': 0}
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id: 173279384
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 69984, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.18.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, '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': '139968.d', 'subgroup_hash': 11359813246965104, 'subgroup_order': 139968, 'subgroup_tex': 'S_3^3.S_3\\wr C_3', 'supersolvable': False, 'sylow': 0}
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id: 173279385
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.18.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, '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': None, 'subgroup_hash': 5270943838292685836, 'subgroup_order': 139968, 'subgroup_tex': 'C_3^7.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279386
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.18.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, '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': None, 'subgroup_hash': 5559290550308006636, 'subgroup_order': 139968, 'subgroup_tex': 'C_3^7.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 173279387
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.18.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, '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': None, 'subgroup_hash': 8981603866387251947, 'subgroup_order': 139968, 'subgroup_tex': 'C_3^6.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
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id: 173279388
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 69984, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.18.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, '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': '139968.c', 'subgroup_hash': 3246291642654537061, 'subgroup_order': 139968, 'subgroup_tex': 'C_3^6.C_2^4:A_4', 'supersolvable': False, 'sylow': 0}
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id: 173279389
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 69984, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.18.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, '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': None, 'subgroup_hash': 7330804594791810239, 'subgroup_order': 139968, 'subgroup_tex': 'C_3^7.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279390
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 69984, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.18.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, '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': '139968.r', 'subgroup_hash': 4553001237534440894, 'subgroup_order': 139968, 'subgroup_tex': 'C_3^6.C_2^3:S_4', 'supersolvable': False, 'sylow': 0}
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id: 173279391
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.18.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.n1', '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': 18, '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': '139968.r', 'subgroup_hash': 4553001237534440894, 'subgroup_order': 139968, 'subgroup_tex': 'C_3^6.C_2^3:S_4', 'supersolvable': False, 'sylow': 0}
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id: 173279392
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 69984, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.18.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.o1', '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': 18, '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': None, 'subgroup_hash': 2777626474755175161, 'subgroup_order': 139968, 'subgroup_tex': 'C_3^6.(C_2^4\\times C_6).C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279393
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 69984, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.18.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.p1', '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': 18, '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': '139968.a', 'subgroup_hash': 8375540096180605986, 'subgroup_order': 139968, 'subgroup_tex': 'C_3^6.C_2^4:C_{12}', 'supersolvable': False, 'sylow': 0}
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id: 173279395
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.18.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.q1', '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': 18, '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': '139968.a', 'subgroup_hash': 8375540096180605986, 'subgroup_order': 139968, 'subgroup_tex': 'C_3^6.C_2^4:C_{12}', 'supersolvable': False, 'sylow': 0}
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id: 173279396
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 104976, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '104976.jp', 'subgroup_hash': 6275167317065982094, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^7.C_2^2:A_4', 'supersolvable': False, 'sylow': 0}
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id: 173279397
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 104976, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C4'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '104976.jp', 'subgroup_hash': 6275167317065982094, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^7.C_2^2:A_4', 'supersolvable': False, 'sylow': 0}
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id: 173279398
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 104976, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4250804677469470026, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^6.A_4^2', 'supersolvable': False, 'sylow': 0}
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id: 173279399
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, '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': None, 'subgroup_hash': 9031341535111165995, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^6.A_4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279400
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, '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': None, 'subgroup_hash': 8378460931865498749, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^6.A_4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279401
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, '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': None, 'subgroup_hash': 6515759471475196997, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^7.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279402
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, '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': None, 'subgroup_hash': 2169081165631835603, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^7.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279403
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, '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': None, 'subgroup_hash': 1611820642330817650, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^6.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279404
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, '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': None, 'subgroup_hash': 2924726838055060900, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^6.A_4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279406
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, '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': None, 'subgroup_hash': 5255887654366421428, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^7.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 173279407
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, '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': None, 'subgroup_hash': 5560901403245356182, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^7.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279408
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, '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': '104976.hw', 'subgroup_hash': 4960082148064911540, 'subgroup_order': 104976, 'subgroup_tex': 'C_3\\wr A_4.D_6', 'supersolvable': False, 'sylow': 0}
-
id: 173279409
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, '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': '104976.hw', 'subgroup_hash': 4960082148064911540, 'subgroup_order': 104976, 'subgroup_tex': 'C_3\\wr A_4.D_6', 'supersolvable': False, 'sylow': 0}
-
id: 173279410
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.n1', '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': 24, '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': None, 'subgroup_hash': 9031341535111165995, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^6.A_4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279411
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.o1', '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': 24, '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': None, 'subgroup_hash': 4237703219425349850, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^4.C_6^2.C_6^2', 'supersolvable': False, 'sylow': 0}
-
id: 173279412
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.p1', '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': 24, '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': None, 'subgroup_hash': 5560901403245356182, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^7.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279413
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.q1', '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': 24, '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': None, 'subgroup_hash': 9031341535111165995, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^6.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279414
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.r1', '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': 24, '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': None, 'subgroup_hash': 4237703219425349850, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^4.C_6^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279415
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.s1', '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': 24, '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': None, 'subgroup_hash': 6515759471475196997, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^7.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279417
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.t1', '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': 24, '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': None, 'subgroup_hash': 1611820642330817650, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^6.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279418
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.u1', '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': 24, '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': None, 'subgroup_hash': 4250804677469470026, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^6.A_4^2', 'supersolvable': False, 'sylow': 0}
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id: 173279419
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.v1', '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': 24, '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': None, 'subgroup_hash': 4250804677469470026, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^6.A_4^2', 'supersolvable': False, 'sylow': 0}
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id: 173279420
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.w1', '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': 24, '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': None, 'subgroup_hash': 4250804677469470026, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^6.A_4^2', 'supersolvable': False, 'sylow': 0}
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id: 173279421
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.x1', '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': 24, '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': '104976.ho', 'subgroup_hash': 6974398409079382893, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^6.(A_4\\times D_6)', 'supersolvable': False, 'sylow': 0}
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id: 173279422
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.y1', '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': 24, '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': '104976.ho', 'subgroup_hash': 6974398409079382893, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^6.(A_4\\times D_6)', 'supersolvable': False, 'sylow': 0}
-
id: 173279423
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.z1', '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': 24, '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': '104976.ho', 'subgroup_hash': 6974398409079382893, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^6.(A_4\\times D_6)', 'supersolvable': False, 'sylow': 0}
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id: 173279424
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ba1', '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': 24, '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': '104976.fn', 'subgroup_hash': 9154649959805784772, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^7.(C_2\\times S_4)', 'supersolvable': False, 'sylow': 0}
-
id: 173279425
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bb1', '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': 24, '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': '104976.jg', 'subgroup_hash': 3941631671440838353, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^6.(C_{12}\\times A_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279426
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.24.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bc1', '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': 24, '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': '104976.hz', 'subgroup_hash': 8338382274119610615, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^6.A_4:C_{12}', 'supersolvable': False, 'sylow': 0}
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id: 173278996
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.27.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.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': 27, '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': '93312.v', 'subgroup_hash': 4348563938205162458, 'subgroup_order': 93312, 'subgroup_tex': 'S_3^4.\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
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id: 173278997
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.32.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1225277973211252557, 'subgroup_order': 78732, 'subgroup_tex': 'C_3^5.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
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id: 173278998
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.32.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8057240879582712323, 'subgroup_order': 78732, 'subgroup_tex': 'C_3^7.C_6^2', 'supersolvable': True, 'sylow': 0}
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id: 173278999
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.32.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '78732.in', 'subgroup_hash': 1766444437729282345, 'subgroup_order': 78732, 'subgroup_tex': 'C_3^7.(C_6\\times S_3)', 'supersolvable': True, 'sylow': 0}
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id: 173279000
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.32.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '78732.ju', 'subgroup_hash': 628533604316558315, 'subgroup_order': 78732, 'subgroup_tex': 'C_3^5.C_3\\wr C_4', 'supersolvable': False, 'sylow': 0}
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id: 173279001
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 69984, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7802019472198878543, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^5', 'supersolvable': True, 'sylow': 0}
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id: 173279002
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 69984, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '69984.f', 'subgroup_hash': 1421550655586056904, 'subgroup_order': 69984, 'subgroup_tex': '(C_3:S_3)^3.A_4', 'supersolvable': False, 'sylow': 0}
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id: 173279003
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 69984, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '69984.f', 'subgroup_hash': 1421550655586056904, 'subgroup_order': 69984, 'subgroup_tex': '(C_3:S_3)^3.A_4', 'supersolvable': False, 'sylow': 0}
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id: 173279004
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 36, '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': None, 'subgroup_hash': 2442861321848331312, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
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id: 173279005
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 36, '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': None, 'subgroup_hash': 2442861321848331312, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
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id: 173279007
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 36, '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': None, 'subgroup_hash': 2442861321848331312, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
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id: 173279008
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 36, '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': None, 'subgroup_hash': 5009995466635421430, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
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id: 173279009
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 36, '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': None, 'subgroup_hash': 2645960321532011308, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
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id: 173279010
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 36, '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': None, 'subgroup_hash': 4196688512100276450, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^5', 'supersolvable': True, 'sylow': 0}
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id: 173279011
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 36, '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': None, 'subgroup_hash': 6068445319739912540, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
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id: 173279012
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 36, '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': None, 'subgroup_hash': 4812039523196934061, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
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id: 173279013
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 36, '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': '69984.e', 'subgroup_hash': 1833533996496459844, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^3.C_6^3:A_4', 'supersolvable': False, 'sylow': 0}
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id: 173279014
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, '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': '69984.e', 'subgroup_hash': 1833533996496459844, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^3.C_6^3:A_4', 'supersolvable': False, 'sylow': 0}
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id: 173279015
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.n1', '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': 36, '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': None, 'subgroup_hash': 5009995466635421430, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
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id: 173279016
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.o1', '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': 36, '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': None, 'subgroup_hash': 2645960321532011308, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
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id: 173279018
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.p1', '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': 36, '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': None, 'subgroup_hash': 6655820995386985280, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279019
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.q1', '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': 36, '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': None, 'subgroup_hash': 798043444063065751, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279020
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.r1', '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': 36, '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': None, 'subgroup_hash': 419766904302259400, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^5', 'supersolvable': True, 'sylow': 0}
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id: 173279021
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.s1', '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': 36, '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': None, 'subgroup_hash': 6068445319739912540, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
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id: 173279022
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.t1', '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': 36, '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': None, 'subgroup_hash': 419766904302259400, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^5', 'supersolvable': True, 'sylow': 0}
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id: 173279023
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.u1', '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': 36, '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': None, 'subgroup_hash': 2947746212054274342, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279024
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.v1', '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': 36, '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': None, 'subgroup_hash': 798043444063065751, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279025
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.w1', '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': 36, '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': None, 'subgroup_hash': 4815871059482658332, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279026
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.x1', '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': 36, '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': None, 'subgroup_hash': 7201586650757938380, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279027
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.y1', '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': 36, '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': None, 'subgroup_hash': 1478855966301581370, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279029
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.z1', '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': 36, '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': None, 'subgroup_hash': 4812039523196934061, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
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id: 173279030
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ba1', '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': 36, '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': None, 'subgroup_hash': 419766904302259400, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^5', 'supersolvable': True, 'sylow': 0}
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id: 173279031
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bb1', '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': 36, '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': None, 'subgroup_hash': 5009995466635421430, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
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id: 173279032
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bc1', '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': 36, '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': None, 'subgroup_hash': 419766904302259400, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^5', 'supersolvable': True, 'sylow': 0}
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id: 173279033
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bd1', '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': 36, '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': None, 'subgroup_hash': 2645960321532011308, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 173279034
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.be1', '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': 36, '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': None, 'subgroup_hash': 3827855997689366554, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^5.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 173279035
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bf1', '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': 36, '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': None, 'subgroup_hash': 4196688512100276450, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 173279036
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bg1', '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': 36, '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': None, 'subgroup_hash': 2442861321848331312, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 173279037
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bh1', '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': 36, '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': None, 'subgroup_hash': 2442861321848331312, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 173279038
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bi1', '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': 36, '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': None, 'subgroup_hash': 4196688512100276450, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^5', 'supersolvable': True, 'sylow': 0}
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id: 173279040
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bj1', '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': 36, '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': None, 'subgroup_hash': 6655820995386985280, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279041
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bk1', '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': 36, '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': None, 'subgroup_hash': 7318675474141983276, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 173279042
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bl1', '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': 36, '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': None, 'subgroup_hash': 7318675474141983276, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 173279043
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bm1', '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': 36, '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': None, 'subgroup_hash': 7802019472198878543, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 173279044
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bn1', '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': 36, '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': None, 'subgroup_hash': 2695904590833184592, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 173279045
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bo1', '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': 36, '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': '69984.bh', 'subgroup_hash': 5502654455259084544, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7:C_2^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
-
id: 173279046
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bp1', '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': 36, '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': None, 'subgroup_hash': 1938334509250982442, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 173279047
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bq1', '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': 36, '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': None, 'subgroup_hash': 633508301451561704, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 173279048
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.br1', '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': 36, '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': None, 'subgroup_hash': 8386456772748826340, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.C_6.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 173279049
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bs1', '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': 36, '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': None, 'subgroup_hash': 3145729350515049439, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^4.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 173279051
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bt1', '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': 36, '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': None, 'subgroup_hash': 4818607868897874675, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 173279052
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bu1', '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': 36, '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': None, 'subgroup_hash': 6655820995386985280, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 173279053
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bv1', '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': 36, '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': None, 'subgroup_hash': 7318675474141983276, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 173279054
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bw1', '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': 36, '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': None, 'subgroup_hash': 7318675474141983276, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 173279055
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id: 173279056
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.by1', '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': 36, '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': '69984.f', 'subgroup_hash': 1421550655586056904, 'subgroup_order': 69984, 'subgroup_tex': '(C_3:S_3)^3.A_4', 'supersolvable': False, 'sylow': 0}
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id: 173279057
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bz1', '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': 36, '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': '69984.h', 'subgroup_hash': 4814747757799365679, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6:C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
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id: 173279058
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ca1', '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': 36, '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': '69984.bh', 'subgroup_hash': 5502654455259084544, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7:C_2^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279059
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cb1', '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': 36, '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': '69984.p', 'subgroup_hash': 6223392654250980061, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^5:D_6:S_4', 'supersolvable': False, 'sylow': 0}
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id: 173279060
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cc1', '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': 36, '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': '69984.p', 'subgroup_hash': 6223392654250980061, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^5:D_6:S_4', 'supersolvable': False, 'sylow': 0}
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id: 173279062
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cd1', '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': 36, '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': '69984.a', 'subgroup_hash': 2091941080587179510, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6:(D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279063
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ce1', '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': 36, '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': '69984.j', 'subgroup_hash': 7620183393644795147, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^6.\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
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id: 173279064
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cf1', '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': 36, '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': None, 'subgroup_hash': 2695904590833184592, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279065
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cg1', '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': 36, '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': None, 'subgroup_hash': 3626995114419433102, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279066
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.36.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ch1', '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': 36, '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': None, 'subgroup_hash': 3352054768724182559, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^7.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279067
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, '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': None, 'subgroup_hash': 8340854520617080627, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^6.C_6^2.C_2', 'supersolvable': True, 'sylow': 0}
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id: 173279068
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, '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': None, 'subgroup_hash': 8340854520617080627, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^7.C_6.C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 173279069
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, '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': None, 'subgroup_hash': 6862670961094791621, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^4.C_6^2.C_3.C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279070
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, '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': None, 'subgroup_hash': 6689875402827148127, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^5.C_6^2.C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279071
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, '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': None, 'subgroup_hash': 3315061908736360002, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^6.C_6^2.C_2', 'supersolvable': True, 'sylow': 0}
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id: 173279073
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, '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': None, 'subgroup_hash': 7318905211979559316, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^6.C_6^2.C_2', 'supersolvable': True, 'sylow': 0}
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id: 173279074
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, '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': None, 'subgroup_hash': 3303035316998079263, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^6.A_4.C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279075
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, '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': None, 'subgroup_hash': 1934640257478111622, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^4.C_6^2.C_3.C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279076
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, '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': None, 'subgroup_hash': 6048337528044330477, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^4.C_6^2.C_3.C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279077
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, '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': None, 'subgroup_hash': 3734962880272472461, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^6.A_4.C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279078
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, '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': None, 'subgroup_hash': 3734962880272472461, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^6.A_4.C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279079
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, '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': None, 'subgroup_hash': 8626055276622911680, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^6.C_6^2.C_2', 'supersolvable': True, 'sylow': 0}
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id: 173279080
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, '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': None, 'subgroup_hash': 6943846938754329362, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^4.C_6^2.C_3.C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279081
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.n1', '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': 48, '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': '52488.ez', 'subgroup_hash': 2821033090217949726, 'subgroup_order': 52488, 'subgroup_tex': 'C_3\\wr A_4.S_3', 'supersolvable': False, 'sylow': 0}
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id: 173279082
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.o1', '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': 48, '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': '52488.ez', 'subgroup_hash': 2821033090217949726, 'subgroup_order': 52488, 'subgroup_tex': 'C_3\\wr A_4.S_3', 'supersolvable': False, 'sylow': 0}
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id: 173279084
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.p1', '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': 48, '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': None, 'subgroup_hash': 6943846938754329362, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^4.C_6^2.C_3.C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279085
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.q1', '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': 48, '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': None, 'subgroup_hash': 6042107961173274037, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^5.C_6^2.C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279086
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.r1', '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': 48, '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': None, 'subgroup_hash': 1050941409081409365, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^5.C_6^2.C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279087
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.s1', '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': 48, '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': None, 'subgroup_hash': 1050941409081409365, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^5.C_6^2.C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279088
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.t1', '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': 48, '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': None, 'subgroup_hash': 7318905211979559316, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^7.C_6.C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 173279089
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.u1', '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': 48, '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': None, 'subgroup_hash': 1712412167944532285, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^7.A_4.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279090
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.v1', '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': 48, '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': None, 'subgroup_hash': 4984708094927711956, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^7.A_4.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279091
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.w1', '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': 48, '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': None, 'subgroup_hash': 4984708094927711956, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^7.A_4.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279092
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.x1', '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': 48, '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': None, 'subgroup_hash': 5757884553226297311, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^4.C_6^2.C_3.C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279093
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.y1', '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': 48, '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': None, 'subgroup_hash': 3315061908736360002, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^6.C_6^2.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 173279095
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.z1', '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': 48, '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': None, 'subgroup_hash': 8152366241919503700, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^5.C_6^2.C_6', 'supersolvable': False, 'sylow': 0}
-
id: 173279096
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ba1', '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': 48, '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': '52488.er', 'subgroup_hash': 5746073760981090975, 'subgroup_order': 52488, 'subgroup_tex': 'C_3\\wr A_4.C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279097
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bb1', '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': 48, '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': '52488.er', 'subgroup_hash': 5746073760981090975, 'subgroup_order': 52488, 'subgroup_tex': 'C_3\\wr A_4.C_6', 'supersolvable': False, 'sylow': 0}
-
id: 173279098
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bc1', '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': 48, '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': '52488.kx', 'subgroup_hash': 75880331134138139, 'subgroup_order': 52488, 'subgroup_tex': 'C_3\\wr A_4:C_6', 'supersolvable': False, 'sylow': 0}
-
id: 173279099
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bd1', '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': 48, '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': '52488.kx', 'subgroup_hash': 75880331134138139, 'subgroup_order': 52488, 'subgroup_tex': 'C_3\\wr A_4:C_6', 'supersolvable': False, 'sylow': 0}
-
id: 173279100
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.be1', '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': 48, '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': '52488.kx', 'subgroup_hash': 75880331134138139, 'subgroup_order': 52488, 'subgroup_tex': 'C_3\\wr A_4:C_6', 'supersolvable': False, 'sylow': 0}
-
id: 173279101
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bf1', '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': 48, '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': '52488.kx', 'subgroup_hash': 75880331134138139, 'subgroup_order': 52488, 'subgroup_tex': 'C_3\\wr A_4:C_6', 'supersolvable': False, 'sylow': 0}
-
id: 173279102
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bg1', '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': 48, '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': '52488.kx', 'subgroup_hash': 75880331134138139, 'subgroup_order': 52488, 'subgroup_tex': 'C_3\\wr A_4:C_6', 'supersolvable': False, 'sylow': 0}
-
id: 173279103
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bh1', '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': 48, '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': None, 'subgroup_hash': 8152366241919503700, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^5.C_6^2.C_6', 'supersolvable': False, 'sylow': 0}
-
id: 173279104
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bi1', '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': 48, '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': None, 'subgroup_hash': 6689875402827148127, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^5.C_6^2.C_6', 'supersolvable': False, 'sylow': 0}
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id: 173279107
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bj1', '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': 48, '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': '52488.en', 'subgroup_hash': 38902401320629783, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^6.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
-
id: 173279108
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bk1', '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': 48, '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': '52488.en', 'subgroup_hash': 38902401320629783, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^6.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
-
id: 173279109
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bl1', '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': 48, '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': '52488.bi', 'subgroup_hash': 5115680119681303702, 'subgroup_order': 52488, 'subgroup_tex': '\\He_3^2:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
-
id: 173279110
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bm1', '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': 48, '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': '52488.by', 'subgroup_hash': 4894500697377149961, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^6.(S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
-
id: 173279111
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bn1', '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': 48, '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': '52488.by', 'subgroup_hash': 4894500697377149961, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^6.(S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
-
id: 173279112
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bo1', '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': 48, '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': '52488.jh', 'subgroup_hash': 1236363921466680121, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^6.(C_3\\times D_{12})', 'supersolvable': False, 'sylow': 0}
-
id: 173279113
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bp1', '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': 48, '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': '52488.iv', 'subgroup_hash': 506576024919173975, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^2\\wr C_3.D_{12}', 'supersolvable': False, 'sylow': 0}
-
id: 173279114
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bq1', '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': 48, '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': '52488.by', 'subgroup_hash': 4894500697377149961, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^6.(S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279115
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.48.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.br1', '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': 48, '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': '52488.ca', 'subgroup_hash': 8500811763530502757, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^7.S_4', 'supersolvable': False, 'sylow': 0}
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id: 173279116
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.54.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, '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': '46656.bp', 'subgroup_hash': 7682851836149254497, 'subgroup_order': 46656, 'subgroup_tex': 'C_3^4.D_6^2:C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279118
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.54.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, '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': '46656.br', 'subgroup_hash': 2763586340127201127, 'subgroup_order': 46656, 'subgroup_tex': 'C_3^2.S_3^4:C_4', 'supersolvable': False, 'sylow': 0}
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id: 173279119
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.54.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, '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': '46656.cr', 'subgroup_hash': 1903117819009381405, 'subgroup_order': 46656, 'subgroup_tex': 'S_3^4.S_3^2', 'supersolvable': False, 'sylow': 0}
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id: 173279120
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.54.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, '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': '46656.ct', 'subgroup_hash': 7061445902199782280, 'subgroup_order': 46656, 'subgroup_tex': 'C_3^2.S_3^4:C_4', 'supersolvable': False, 'sylow': 0}
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id: 173279121
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.54.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, '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': None, 'subgroup_hash': 9161564271866554489, 'subgroup_order': 46656, 'subgroup_tex': 'C_3^5.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
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id: 173279122
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.54.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, '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': None, 'subgroup_hash': 594832130843364228, 'subgroup_order': 46656, 'subgroup_tex': 'C_3^6.C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 173279123
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.54.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, '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': None, 'subgroup_hash': 1581809179755733810, 'subgroup_order': 46656, 'subgroup_tex': 'C_3^6.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279124
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.54.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, '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': None, 'subgroup_hash': 3601372846301344890, 'subgroup_order': 46656, 'subgroup_tex': 'C_3^4.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279125
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.54.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, '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': None, 'subgroup_hash': 9161564271866554489, 'subgroup_order': 46656, 'subgroup_tex': 'C_3^5.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
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id: 173279126
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.54.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, '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': None, 'subgroup_hash': 594832130843364228, 'subgroup_order': 46656, 'subgroup_tex': 'C_3^6.C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 173279127
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.54.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, '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': '46656.cq', 'subgroup_hash': 4838733552333219572, 'subgroup_order': 46656, 'subgroup_tex': '(C_3:S_3)^3.D_4', 'supersolvable': False, 'sylow': 0}
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id: 173279129
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.54.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 54, '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': '46656.cs', 'subgroup_hash': 4531874826301520481, 'subgroup_order': 46656, 'subgroup_tex': 'C_3^2.S_3^4:C_4', 'supersolvable': False, 'sylow': 0}
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id: 173279130
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.64.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 64, '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': None, 'subgroup_hash': 3954536256550252937, 'subgroup_order': 39366, 'subgroup_tex': 'C_3^7.C_3.C_6', 'supersolvable': True, 'sylow': 0}
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id: 173279131
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.64.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 64, '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': None, 'subgroup_hash': 6267543699684619595, 'subgroup_order': 39366, 'subgroup_tex': 'C_3^7.C_3.C_6', 'supersolvable': True, 'sylow': 0}
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id: 173279132
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.64.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 64, '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': None, 'subgroup_hash': 46404962674356714, 'subgroup_order': 39366, 'subgroup_tex': 'C_3^6.C_3^3.C_2', 'supersolvable': True, 'sylow': 0}
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id: 173279133
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 34992, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6585073234588995218, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279134
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 34992, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.23', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '34992.ba', 'subgroup_hash': 2689379680719931661, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6:(C_2^2:A_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279135
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 34992, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{12}', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '34992.ba', 'subgroup_hash': 2689379680719931661, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6:(C_2^2:A_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279136
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.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': 72, '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': None, 'subgroup_hash': 3182200014214341620, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279137
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.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': 72, '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': None, 'subgroup_hash': 3182200014214341620, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279138
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.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': 72, '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': None, 'subgroup_hash': 3182200014214341620, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279140
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.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': 72, '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': None, 'subgroup_hash': 5346081117534221556, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279141
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.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': 72, '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': None, 'subgroup_hash': 5346081117534221556, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279142
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.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': 72, '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': None, 'subgroup_hash': 1427842578763819071, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279143
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.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': 72, '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': None, 'subgroup_hash': 1427842578763819071, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279144
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.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': 72, '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': None, 'subgroup_hash': 1427842578763819071, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279145
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.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': 72, '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': None, 'subgroup_hash': 7463470465771767298, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279146
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, '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': None, 'subgroup_hash': 2336356353965958200, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279147
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.n1', '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': 72, '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': None, 'subgroup_hash': 8015952350281044375, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279148
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.o1', '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': 72, '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': None, 'subgroup_hash': 8015952350281044375, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279149
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.p1', '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': 72, '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': None, 'subgroup_hash': 8757207710141453404, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279151
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.q1', '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': 72, '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': None, 'subgroup_hash': 8757207710141453404, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279152
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.r1', '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': 72, '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': None, 'subgroup_hash': 4160124968520921125, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279153
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.s1', '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': 72, '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': None, 'subgroup_hash': 2336356353965958200, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279154
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.t1', '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': 72, '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': None, 'subgroup_hash': 67441853788323857, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279155
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.u1', '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': 72, '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': None, 'subgroup_hash': 6151999770324367879, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279156
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.v1', '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': 72, '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': None, 'subgroup_hash': 6151999770324367879, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279157
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.w1', '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': 72, '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': None, 'subgroup_hash': 4160124968520921125, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279158
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.x1', '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': 72, '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': None, 'subgroup_hash': 2668213329956088309, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.A_4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279159
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.y1', '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': 72, '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': None, 'subgroup_hash': 5109577355922951600, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 173279160
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.z1', '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': 72, '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': None, 'subgroup_hash': 5178033414076664268, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279162
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ba1', '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': 72, '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': '34992.o', 'subgroup_hash': 1346445952431436141, 'subgroup_order': 34992, 'subgroup_tex': 'C_3\\wr A_4:C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279163
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bb1', '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': 72, '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': '34992.o', 'subgroup_hash': 1346445952431436141, 'subgroup_order': 34992, 'subgroup_tex': 'C_3\\wr A_4:C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279164
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bc1', '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': 72, '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': None, 'subgroup_hash': 564826971181680830, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279165
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bd1', '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': 72, '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': None, 'subgroup_hash': 564826971181680830, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279166
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.be1', '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': 72, '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': None, 'subgroup_hash': 8015952350281044375, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279167
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bf1', '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': 72, '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': None, 'subgroup_hash': 1427842578763819071, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279168
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bg1', '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': 72, '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': None, 'subgroup_hash': 1427842578763819071, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279169
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bh1', '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': 72, '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': None, 'subgroup_hash': 67441853788323857, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279170
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bi1', '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': 72, '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': None, 'subgroup_hash': 8757207710141453404, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279171
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bjB', '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': 72, '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': None, 'subgroup_hash': 2336356353965958200, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279173
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bjC', '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': 72, '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': None, 'subgroup_hash': 2336356353965958200, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279174
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bk1', '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': 72, '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': None, 'subgroup_hash': 6032951760752951757, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^3.C_6^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279175
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bl1', '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': 72, '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': None, 'subgroup_hash': 7463470465771767298, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279176
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bmB', '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': 72, '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': None, 'subgroup_hash': 8015952350281044375, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279177
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bmC', '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': 72, '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': None, 'subgroup_hash': 8015952350281044375, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279178
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bn1', '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': 72, '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': None, 'subgroup_hash': 6585073234588995218, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279179
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bo1', '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': 72, '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': None, 'subgroup_hash': 8757207710141453404, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279180
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bp1', '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': 72, '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': None, 'subgroup_hash': 8757207710141453404, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279181
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bq1', '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': 72, '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': None, 'subgroup_hash': 6585073234588995218, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279182
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.br1', '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': 72, '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': None, 'subgroup_hash': 8015952350281044375, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279184
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bs1', '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': 72, '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': None, 'subgroup_hash': 3153086120258405971, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279185
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bt1', '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': 72, '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': None, 'subgroup_hash': 3153086120258405971, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279186
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bu1', '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': 72, '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': None, 'subgroup_hash': 6585073234588995218, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279187
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bv1', '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': 72, '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': None, 'subgroup_hash': 3614575246766656533, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279188
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bw1', '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': 72, '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': None, 'subgroup_hash': 135000071072893519, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279189
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bxB', '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': 72, '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': None, 'subgroup_hash': 8015952350281044375, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279190
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bxC', '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': 72, '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': None, 'subgroup_hash': 8015952350281044375, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279191
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.by1', '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': 72, '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': None, 'subgroup_hash': 4161062365020190281, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
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id: 173279192
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.bz1', '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': 72, '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': None, 'subgroup_hash': 7883145130535245067, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.C_6.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279193
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.caB', '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': 72, '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': None, 'subgroup_hash': 8757207710141453404, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279195
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.caC', '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': 72, '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': None, 'subgroup_hash': 8757207710141453404, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279196
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cb1', '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': 72, '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': None, 'subgroup_hash': 5109577355922951600, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 173279197
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cc1', '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': 72, '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': None, 'subgroup_hash': 3321082634462967794, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279198
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cd1', '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': 72, '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': None, 'subgroup_hash': 4160124968520921125, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279199
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ce1', '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': 72, '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': None, 'subgroup_hash': 4160124968520921125, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279200
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cf1', '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': 72, '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': None, 'subgroup_hash': 5228526635414289039, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.A_4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279201
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cg1', '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': 72, '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': None, 'subgroup_hash': 2332681954094521048, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 173279202
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ch1', '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': 72, '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': None, 'subgroup_hash': 2829018611390047099, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279203
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ci1', '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': 72, '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': '34992.jb', 'subgroup_hash': 189451609052155543, 'subgroup_order': 34992, 'subgroup_tex': 'C_3\\wr A_4:S_3^2', 'supersolvable': False, 'sylow': 0}
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id: 173279204
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cj1', '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': 72, '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': '34992.jb', 'subgroup_hash': 189451609052155543, 'subgroup_order': 34992, 'subgroup_tex': 'C_3\\wr A_4:S_3^2', 'supersolvable': False, 'sylow': 0}
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id: 173279206
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ck1', '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': 72, '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': None, 'subgroup_hash': 2829018611390047099, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279207
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cl1', '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': 72, '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': None, 'subgroup_hash': 2829018611390047099, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279208
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cm1', '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': 72, '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': None, 'subgroup_hash': 3321082634462967794, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279209
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cn1', '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': 72, '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': None, 'subgroup_hash': 3182200014214341620, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279210
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.co1', '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': 72, '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': None, 'subgroup_hash': 3182200014214341620, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279211
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cp1', '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': 72, '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': None, 'subgroup_hash': 6151999770324367879, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279212
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cq1', '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': 72, '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': None, 'subgroup_hash': 6151999770324367879, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279213
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cr1', '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': 72, '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': None, 'subgroup_hash': 4160124968520921125, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279214
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cs1', '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': 72, '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': None, 'subgroup_hash': 6032951760752951757, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^3.C_6^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279215
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ct1', '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': 72, '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': None, 'subgroup_hash': 946921234904525187, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279218
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cu1', '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': 72, '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': None, 'subgroup_hash': 5228526635414289039, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279219
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cv1', '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': 72, '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': None, 'subgroup_hash': 5228526635414289039, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279220
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cw1', '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': 72, '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': None, 'subgroup_hash': 5228526635414289039, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279221
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cx1', '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': 72, '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': None, 'subgroup_hash': 5228526635414289039, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279222
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cy1', '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': 72, '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': None, 'subgroup_hash': 946921234904525187, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279223
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.cz1', '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': 72, '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': None, 'subgroup_hash': 8015952350281044375, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279224
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.da1', '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': 72, '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': None, 'subgroup_hash': 2336356353965958200, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279225
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.db1', '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': 72, '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': None, 'subgroup_hash': 6515364797886351811, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279226
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.dc1', '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': 72, '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': None, 'subgroup_hash': 562885153359734447, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.C_6.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279227
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.dd1', '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': 72, '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': None, 'subgroup_hash': 8015952350281044375, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279229
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.de1', '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': 72, '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': None, 'subgroup_hash': 6585073234588995218, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279230
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.df1', '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': 72, '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': None, 'subgroup_hash': 3321082634462967794, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279231
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.dg1', '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': 72, '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': None, 'subgroup_hash': 1792104311889218291, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^4.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279232
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.dh1', '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': 72, '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': None, 'subgroup_hash': 2702619634332992628, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^4.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279233
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.di1', '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': 72, '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': None, 'subgroup_hash': 4160124968520921125, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279234
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.dj1', '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': 72, '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': '34992.bo', 'subgroup_hash': 1142065981079038904, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7:(C_2\\times D_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279235
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.dk1', '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': 72, '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': '34992.bs', 'subgroup_hash': 2584209802207698415, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5:D_6.D_6', 'supersolvable': False, 'sylow': 0}
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id: 173279236
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.dl1', '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': 72, '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': None, 'subgroup_hash': 5178033414076664268, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279237
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.dm1', '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': 72, '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': None, 'subgroup_hash': 2829018611390047099, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279238
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.dn1', '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': 72, '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': None, 'subgroup_hash': 2829018611390047099, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279240
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.do1', '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': 72, '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': None, 'subgroup_hash': 2829018611390047099, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279241
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.dp1', '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': 72, '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': None, 'subgroup_hash': 2829018611390047099, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279242
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.dq1', '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': 72, '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': None, 'subgroup_hash': 2829018611390047099, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279243
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.dr1', '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': 72, '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': None, 'subgroup_hash': 3321082634462967794, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279244
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ds1', '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': 72, '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': None, 'subgroup_hash': 3182200014214341620, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279245
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.dt1', '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': 72, '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': None, 'subgroup_hash': 3182200014214341620, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279246
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.du1', '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': 72, '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': None, 'subgroup_hash': 6032951760752951757, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^3.C_6^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279247
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.dv1', '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': 72, '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': None, 'subgroup_hash': 5346081117534221556, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279248
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.dw1', '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': 72, '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': None, 'subgroup_hash': 67441853788323857, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279249
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.dx1', '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': 72, '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': None, 'subgroup_hash': 4160124968520921125, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279251
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.dy1', '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': 72, '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': None, 'subgroup_hash': 6151999770324367879, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279252
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.dz1', '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': 72, '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': None, 'subgroup_hash': 6151999770324367879, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279253
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ea1', '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': 72, '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': None, 'subgroup_hash': 5228526635414289039, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279254
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.eb1', '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': 72, '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': None, 'subgroup_hash': 5228526635414289039, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279255
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ec1', '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': 72, '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': None, 'subgroup_hash': 946921234904525187, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279256
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ed1', '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': 72, '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': None, 'subgroup_hash': 5228526635414289039, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279257
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ee1', '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': 72, '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': None, 'subgroup_hash': 5228526635414289039, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279258
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ef1', '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': 72, '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': None, 'subgroup_hash': 5228526635414289039, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279259
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.eg1', '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': 72, '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': None, 'subgroup_hash': 5228526635414289039, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279260
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.eh1', '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': 72, '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': None, 'subgroup_hash': 564826971181680830, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279262
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ei1', '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': 72, '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': None, 'subgroup_hash': 564826971181680830, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279263
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ej1', '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': 72, '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': None, 'subgroup_hash': 564826971181680830, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279264
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ek1', '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': 72, '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': None, 'subgroup_hash': 8015952350281044375, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279265
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.el1', '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': 72, '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': None, 'subgroup_hash': 7463470465771767298, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
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id: 173279266
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.em1', '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': 72, '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': None, 'subgroup_hash': 3153086120258405971, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279267
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.en1', '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': 72, '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': None, 'subgroup_hash': 3153086120258405971, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279268
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.eo1', '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': 72, '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': '34992.ba', 'subgroup_hash': 2689379680719931661, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6:(C_2^2:A_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279269
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ep1', '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': 72, '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': '34992.ba', 'subgroup_hash': 2689379680719931661, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6:(C_2^2:A_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279270
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.eq1', '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': 72, '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': None, 'subgroup_hash': 5107603027198278848, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279271
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.er1', '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': 72, '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': None, 'subgroup_hash': 8586333070184084974, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.D_6:C_4', 'supersolvable': False, 'sylow': 0}
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id: 173279273
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.es1', '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': 72, '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': None, 'subgroup_hash': 2335159937520530111, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.D_6:D_6', 'supersolvable': False, 'sylow': 0}
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id: 173279274
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.et1', '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': 72, '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': None, 'subgroup_hash': 5107603027198278848, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279275
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id: 173279276
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ev1', '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': 72, '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': None, 'subgroup_hash': 3633783140581698510, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279277
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ewB', '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': 72, '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': None, 'subgroup_hash': 6438378823666626657, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279278
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ewC', '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': 72, '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': '34992.bo', 'subgroup_hash': 1142065981079038904, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7:(C_2\\times D_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279279
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ex1', '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': 72, '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': None, 'subgroup_hash': 8148330177520322138, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 173279280
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ey1', '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': 72, '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': '34992.bs', 'subgroup_hash': 2584209802207698415, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5:D_6.D_6', 'supersolvable': False, 'sylow': 0}
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id: 173279281
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ez1', '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': 72, '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': None, 'subgroup_hash': 5734111183090616633, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279282
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.fa1', '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': 72, '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': None, 'subgroup_hash': 4077933940305825515, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279284
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.fb1', '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': 72, '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': '34992.l', 'subgroup_hash': 7923915802456813408, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.(C_2^2\\times A_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279285
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.fc1', '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': 72, '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': '34992.l', 'subgroup_hash': 7923915802456813408, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.(C_2^2\\times A_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279286
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.fdB', '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': 72, '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': None, 'subgroup_hash': 2336356353965958200, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279287
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.fdC', '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': 72, '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': None, 'subgroup_hash': 2336356353965958200, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279288
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.fe1', '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': 72, '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': '34992.l', 'subgroup_hash': 7923915802456813408, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.(C_2^2\\times A_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279289
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ff1', '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': 72, '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': None, 'subgroup_hash': 6515364797886351811, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279290
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.fg1', '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': 72, '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': '34992.r', 'subgroup_hash': 6741742082735367761, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.(C_2\\times S_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279291
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.fh1', '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': 72, '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': '34992.r', 'subgroup_hash': 6741742082735367761, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.(C_2\\times S_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279292
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.fi1', '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': 72, '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': None, 'subgroup_hash': 2336356353965958200, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279293
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.fj1', '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': 72, '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': None, 'subgroup_hash': 562885153359734447, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.C_6.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279295
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id: 173279296
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.fl1', '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': 72, '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': None, 'subgroup_hash': 7605883321158447219, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279297
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.fm1', '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': 72, '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': None, 'subgroup_hash': 4727670949524826791, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279298
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.fn1', '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': 72, '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': '34992.m', 'subgroup_hash': 1252225603821605799, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279299
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.fo1', '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': 72, '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': '34992.m', 'subgroup_hash': 1252225603821605799, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^6.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
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id: 173279300
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.72.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.fp1', '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': 72, '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': '34992.v', 'subgroup_hash': 3279538820580129095, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^5:S_3.S_4', 'supersolvable': False, 'sylow': 0}
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id: 173279301
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.81.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '81.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': 81, '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': None, 'subgroup_hash': 8366698087914536998, 'subgroup_order': 31104, 'subgroup_tex': 'C_3^5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
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id: 173279302
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': None, 'subgroup_hash': 6652153663940757118, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^6.C_6^2', 'supersolvable': True, 'sylow': 0}
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id: 173279303
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': None, 'subgroup_hash': 3058093257983521552, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^6.C_6^2', 'supersolvable': True, 'sylow': 0}
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id: 173279304
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': None, 'subgroup_hash': 7798223465904646984, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^6.C_6^2', 'supersolvable': True, 'sylow': 0}
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id: 173279306
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': None, 'subgroup_hash': 7183999055551610218, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^7.C_6.C_2', 'supersolvable': True, 'sylow': 0}
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id: 173279307
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': None, 'subgroup_hash': 2361291182313362067, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^6.C_6^2', 'supersolvable': True, 'sylow': 0}
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id: 173279308
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': None, 'subgroup_hash': 7798223465904646984, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^6.C_6^2', 'supersolvable': True, 'sylow': 0}
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id: 173279309
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': None, 'subgroup_hash': 7798223465904646984, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^6.C_6^2', 'supersolvable': True, 'sylow': 0}
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id: 173279310
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': None, 'subgroup_hash': 3058093257983521552, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^6.C_6^2', 'supersolvable': True, 'sylow': 0}
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id: 173279311
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': None, 'subgroup_hash': 7183999055551610218, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^7.C_6.C_2', 'supersolvable': True, 'sylow': 0}
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id: 173279312
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': None, 'subgroup_hash': 7751505689809955964, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^4.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
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id: 173279313
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': None, 'subgroup_hash': 4043067063755610623, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^4.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
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id: 173279314
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': None, 'subgroup_hash': 226245000436276636, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^4.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
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id: 173279315
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, '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': None, 'subgroup_hash': 890516502606877638, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^4.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
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id: 173279317
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.n1', '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': 96, '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': None, 'subgroup_hash': 890516502606877638, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^4.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
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id: 173279318
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.o1', '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': 96, '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': None, 'subgroup_hash': 2361291182313362067, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^6.C_6^2', 'supersolvable': True, 'sylow': 0}
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id: 173279319
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.p1', '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': 96, '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': None, 'subgroup_hash': 7619462330583975736, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^3.C_6^2.C_3^3', 'supersolvable': False, 'sylow': 0}
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id: 173279320
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.q1', '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': 96, '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': None, 'subgroup_hash': 5652084344201798646, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^5.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
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id: 173279321
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.r1', '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': 96, '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': None, 'subgroup_hash': 5652084344201798646, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^5.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
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id: 173279322
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.s1', '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': 96, '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': '26244.kz', 'subgroup_hash': 5946862374717393649, 'subgroup_order': 26244, 'subgroup_tex': 'C_3\\wr A_4:C_3', 'supersolvable': False, 'sylow': 0}
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id: 173279323
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.t1', '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': 96, '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': '26244.kz', 'subgroup_hash': 5946862374717393649, 'subgroup_order': 26244, 'subgroup_tex': 'C_3\\wr A_4:C_3', 'supersolvable': False, 'sylow': 0}
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id: 173279324
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.u1', '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': 96, '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': '26244.kz', 'subgroup_hash': 5946862374717393649, 'subgroup_order': 26244, 'subgroup_tex': 'C_3\\wr A_4:C_3', 'supersolvable': False, 'sylow': 0}
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id: 173279325
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.v1', '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': 96, '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': '26244.kz', 'subgroup_hash': 5946862374717393649, 'subgroup_order': 26244, 'subgroup_tex': 'C_3\\wr A_4:C_3', 'supersolvable': False, 'sylow': 0}
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id: 173279326
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.w1', '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': 96, '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': '26244.kz', 'subgroup_hash': 5946862374717393649, 'subgroup_order': 26244, 'subgroup_tex': 'C_3\\wr A_4:C_3', 'supersolvable': False, 'sylow': 0}
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id: 173279329
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.x1', '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': 96, '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': '26244.kz', 'subgroup_hash': 5946862374717393649, 'subgroup_order': 26244, 'subgroup_tex': 'C_3\\wr A_4:C_3', 'supersolvable': False, 'sylow': 0}
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id: 173279330
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.y1', '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': 96, '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': '26244.kz', 'subgroup_hash': 5946862374717393649, 'subgroup_order': 26244, 'subgroup_tex': 'C_3\\wr A_4:C_3', 'supersolvable': False, 'sylow': 0}
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id: 173279331
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.z1', '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': 96, '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': '26244.kz', 'subgroup_hash': 5946862374717393649, 'subgroup_order': 26244, 'subgroup_tex': 'C_3\\wr A_4:C_3', 'supersolvable': False, 'sylow': 0}
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id: 173279332
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.ba1', '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': 96, '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': '26244.kz', 'subgroup_hash': 5946862374717393649, 'subgroup_order': 26244, 'subgroup_tex': 'C_3\\wr A_4:C_3', 'supersolvable': False, 'sylow': 0}
-
id: 173279333
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.bb1', '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': 96, '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': '26244.kz', 'subgroup_hash': 5946862374717393649, 'subgroup_order': 26244, 'subgroup_tex': 'C_3\\wr A_4:C_3', 'supersolvable': False, 'sylow': 0}
-
id: 173279334
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.bc1', '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': 96, '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': None, 'subgroup_hash': 4539379198178222011, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^6.C_6^2', 'supersolvable': True, 'sylow': 0}
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id: 173279335
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.bd1', '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': 96, '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': None, 'subgroup_hash': 8809657536055767214, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^7.C_6.C_2', 'supersolvable': True, 'sylow': 0}
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id: 173279336
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.be1', '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': 96, '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': None, 'subgroup_hash': 5683799404207627753, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^6.C_6^2', 'supersolvable': True, 'sylow': 0}
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id: 173279337
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.bf1', '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': 96, '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': None, 'subgroup_hash': 8809657536055767214, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^7.C_6.C_2', 'supersolvable': True, 'sylow': 0}
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id: 173279338
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.bg1', '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': 96, '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': '26244.gb', 'subgroup_hash': 1855182228205105803, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^6.(C_6\\times S_3)', 'supersolvable': True, 'sylow': 0}
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id: 173279340
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.bh1', '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': 96, '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': '26244.gb', 'subgroup_hash': 1855182228205105803, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^6.(C_6\\times S_3)', 'supersolvable': True, 'sylow': 0}
-
id: 173279341
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.bi1', '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': 96, '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': '26244.id', 'subgroup_hash': 4534152313353211731, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^7.A_4', 'supersolvable': False, 'sylow': 0}
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id: 173279342
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.bj1', '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': 96, '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': '26244.id', 'subgroup_hash': 4534152313353211731, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^7.A_4', 'supersolvable': False, 'sylow': 0}
-
id: 173279343
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.bk1', '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': 96, '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': '26244.jy', 'subgroup_hash': 6840373733543204507, 'subgroup_order': 26244, 'subgroup_tex': '\\He_3^2:S_3^2', 'supersolvable': True, 'sylow': 0}
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id: 173279344
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.bl1', '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': 96, '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': '26244.gb', 'subgroup_hash': 1855182228205105803, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^6.(C_6\\times S_3)', 'supersolvable': True, 'sylow': 0}
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id: 173279345
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.bm1', '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': 96, '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': '26244.dt', 'subgroup_hash': 4332527498695238044, 'subgroup_order': 26244, 'subgroup_tex': '\\He_3^2:S_3^2', 'supersolvable': True, 'sylow': 0}
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id: 173279346
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.bn1', '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': 96, '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': '26244.dt', 'subgroup_hash': 4332527498695238044, 'subgroup_order': 26244, 'subgroup_tex': '\\He_3^2:S_3^2', 'supersolvable': True, 'sylow': 0}
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id: 173279347
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.bo1', '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': 96, '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': '26244.hl', 'subgroup_hash': 4351155453123942377, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^7.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 173279348
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.bp1', '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': 96, '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': '26244.fz', 'subgroup_hash': 5391677845851859062, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^7.C_{12}', 'supersolvable': False, 'sylow': 0}
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id: 173279349
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4374, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.bq1', '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': 96, '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': '26244.iq', 'subgroup_hash': 2336740217982986479, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^2\\wr C_3.C_{12}', 'supersolvable': False, 'sylow': 0}
-
id: 173279351
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.br1', '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': 96, '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': '26244.du', 'subgroup_hash': 4391969922527874614, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^2\\wr C_3:C_{12}', 'supersolvable': False, 'sylow': 0}
-
id: 173279352
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1458, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.96.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.bs1', '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': 96, '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': '26244.du', 'subgroup_hash': 4391969922527874614, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^2\\wr C_3:C_{12}', 'supersolvable': False, 'sylow': 0}
-
id: 173279353
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 23328, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.108.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '108.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '108.38', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 108, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times S_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 182691244046615771, 'subgroup_order': 23328, 'subgroup_tex': 'C_3^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 173279354
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '2519424.ju.128.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.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': 128, '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': None, 'subgroup_hash': 574793282552153527, 'subgroup_order': 19683, 'subgroup_tex': 'C_3\\times C_3^6.C_3^2', 'supersolvable': True, 'sylow': 3}
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id: 173279355
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 11664, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.216.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '216.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '216.122', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 122, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 216, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2:D_{12}', 'simple': False, 'solvable': True, 'special_labels': ['D2', 'C6'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5383307682686422122, 'subgroup_order': 11664, 'subgroup_tex': 'C_3^6.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 173279356
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 8748, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.288.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '288.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '288.1025', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1025, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 273427146278630212, 'subgroup_order': 8748, 'subgroup_tex': 'C_3^6.D_6', 'supersolvable': True, 'sylow': 0}
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id: 173279357
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 4374, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.576.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '576.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '576.8656', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8656, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6633632968551283715, 'subgroup_order': 4374, 'subgroup_tex': 'C_3^7.C_2', 'supersolvable': True, 'sylow': 0}
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id: 173279358
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.729.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '729.a1.M', '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': 729, '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': '3456.ez', 'subgroup_hash': 7247801372447258334, 'subgroup_order': 3456, 'subgroup_tex': 'A_4^2:D_{12}', 'supersolvable': False, 'sylow': 0}
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id: 173279359
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 2187, 'characteristic': True, 'core_order': 2187, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.1152.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1152.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1152.157517', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6875711973346298265, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1152, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2187.9310', 'subgroup_hash': 812665320891796152, 'subgroup_order': 2187, 'subgroup_tex': 'C_3^7', 'supersolvable': True, 'sylow': 0}
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id: 173279360
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 1458, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.1728.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1728.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1728.47858', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 47858, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1728, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4^2:D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1458.1795', 'subgroup_hash': 1795, 'subgroup_order': 1458, 'subgroup_tex': 'C_3^5:S_3', 'supersolvable': True, 'sylow': 0}
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id: 173279362
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 2187, 'characteristic': True, 'core_order': 729, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2519424.ju.3456.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '3456.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3456.ez', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7247801372447258334, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3456, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4^2:D_{12}', 'simple': False, 'solvable': True, 'special_labels': ['D3', 'C7'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '729.504', 'subgroup_hash': 504, 'subgroup_order': 729, 'subgroup_tex': 'C_3^6', 'supersolvable': True, 'sylow': 0}
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id: 173279363
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '2519424.ju.19683.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '19683.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': 19683, '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': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 2}
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id: 173279364
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 1259712, 'characteristic': True, 'core_order': 3, 'counter': 432, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2519424.ju.839808.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '839808.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '839808.a', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2149238803940111382, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 839808, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^6.A_4^2:D_4', '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: 173279365
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2519424.ju', 'ambient_counter': 255, 'ambient_order': 2519424, 'ambient_tex': 'C_3^6.A_4^2:D_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 2519424, 'characteristic': True, 'core_order': 1, 'counter': 433, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '2519424.ju.2519424.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2519424.a1.N', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '2519424.ju', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7529139202950869898, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2519424, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^6.A_4^2:D_{12}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'Phi', 'PC', 'U0', 'D4', 'C8'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 173279365
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '2519424.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2519424.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 847, -1, 9952], 'generators': [], 'label': '2519424.ju.2519424.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2519424.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2519424.a1.N', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2519424.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 173278994
{'ambient': '2519424.ju', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [62, 2025, 17, 202], 'generators': [14721990313951973544, 231552291404880, 26197956529971120, 5013436529492301000, 15695159037580200960, 72096988244520, 32532852243692727627, 14721069668808913944, 2696935103847991682, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '2519424.ju', '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': '2519424.ju'}
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id: 173278995
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '4.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.A', 'coset_action_label': None, 'count': 2, 'diagramx': [149, -1, 267, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 32532852243692727627, 14721069668808913944, 2696935103847991682, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.4.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.c1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.C', 'subgroup_fusion': None, 'weyl_group': '1259712.it'}
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id: 173278996
{'ambient': '2519424.ju', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '108.A', 'coset_action_label': None, 'count': 9, 'diagramx': [39, -1, 2643, -1], 'generators': [38122985495205284545, 14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.27.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '27.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.a1', 'subgroup_fusion': None, 'weyl_group': '279936.a'}
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id: 173278997
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '32.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [204, -1, 2722, -1], 'generators': [231552291404880, 5013436529492301000, 15695159037580200960, 72096988244520, 32532852243692727627, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 72096988244523, 22181160], 'label': '2519424.ju.32.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '32.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173278998
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '32.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 16, 'diagramx': [275, -1, 2746, -1], 'generators': [32531438636763590427, 5013436529492301000, 15695159037580200960, 14721069668808913944, 14925003, 72096988245241, 231546064383360, 2932030193304960, 1346674637164953600, 14728545654938902824, 22181160], 'label': '2519424.ju.32.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.b1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.B', 'subgroup_fusion': None, 'weyl_group': '157464.pm'}
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id: 173278999
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '32.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 16, 'diagramx': [120, -1, 2694, -1], 'generators': [2932030193304960, 14728545654938902824, 16425491230400324400, 5013436529492301000, 32167464487163802987, 1346674637164953600, 22181160, 14721069668808913944, 2696935103847991682, 14925003, 231546064383360], 'label': '2519424.ju.32.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.c1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.C', 'subgroup_fusion': None, 'weyl_group': '157464.pm'}
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id: 173279000
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '32.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 16, 'diagramx': [39, -1, 2668, -1], 'generators': [5013436529492301000, 231546064383360, 22181160, 14925003, 2696935103847992403, 14721069668808913944, 2932030193304960, 32166495501455155827, 14728545654938902824, 1346674637164953600, 15695161652928895920], 'label': '2519424.ju.32.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.d1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.D', 'subgroup_fusion': None, 'weyl_group': '52488.bi'}
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id: 173279001
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.A', 'coset_action_label': None, 'count': 1, 'diagramx': [1442, 1374, 3234, 6884], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.36.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '36.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '36.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.A', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
-
id: 173279002
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.B', 'coset_action_label': None, 'count': 1, 'diagramx': [3797, 4372, 4015, 7437], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 20010062269957174080, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.36.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '36.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '36.b1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.B', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
-
id: 173279003
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.C', 'coset_action_label': None, 'count': 1, 'diagramx': [3723, 2801, 3991, 7147], 'generators': [14721990313951973544, 231552291404880, 28367527094610320184, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.36.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '36.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '36.c1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.C', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
-
id: 173279004
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 18, 'diagramx': [267, -1, 2844, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721990313951974961, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.36.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '36.d1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279005
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2519424.a1', 'coset_action_label': '36T46096', 'count': 36, 'diagramx': [413, -1, 2892, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 2932030193304960, 25987412715265560, 26197956529971120, 14727288972407840787, 14721990313951974961, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.36.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.E', 'old_label': '36.e1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279006
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '6.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6.A', 'coset_action_label': None, 'count': 1, 'diagramx': [885, 7285, 599, 3473], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 9069933219599631124, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.6.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.A', 'subgroup_fusion': None, 'weyl_group': '2519424.ju'}
-
id: 173279007
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 18, 'diagramx': [194, -1, 2820, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 14721990313951974961, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.36.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '36.f1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279008
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2983, -1, 3745, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 14721990313951974961, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 22181160], 'label': '2519424.ju.36.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '36.g1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279009
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [1158, -1, 3139, -1], 'generators': [4990535497683612747, 1344938082009143040, 5013436529492301000, 6723274419409817544, 4990316984825096904, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 231552291404880, 25987412715265560, 14721990313951974961], 'label': '2519424.ju.36.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '36.h1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279010
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2725, -1, 3659, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 14721990313951974961, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.36.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '36.i1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279011
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '216.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3266, -1, 3839, -1], 'generators': [5013436529492301000, 14721990313951973544, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 1561, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.36.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '36.j1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279012
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '216.A', 'coset_action_label': None, 'count': 6, 'diagramx': [777, -1, 3013, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 42895967177482329744, 231546064383360, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.36.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '36.k1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279013
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 6, 'diagramx': [4171, -1, 4139, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 20010062269957174080, 231546064383360, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.36.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '36.l1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279014
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.C', 'coset_action_label': None, 'count': 6, 'diagramx': [4244, -1, 4163, -1], 'generators': [5013436529492301000, 28367527094610320184, 14721990313951973544, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 1561, 1346674637164953600], 'label': '2519424.ju.36.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '36.m1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279015
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [3057, -1, 3769, -1], 'generators': [231552291404880, 5013436529492301000, 14719435067706566664, 72096988244520, 14721990313951974961, 4990316984825096904, 1344938082009143040, 231546064383360, 4990535497683612747, 14728392687657702960, 6723274419409817544, 22181160], 'label': '2519424.ju.36.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '36.n1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279016
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1084, -1, 3115, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 1561, 22181160], 'label': '2519424.ju.36.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '36.o1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279017
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '6.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6.B', 'coset_action_label': None, 'count': 1, 'diagramx': [971, 9153, 627, 3818], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 32532852243692727627, 14721069668808913944, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.6.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.B', 'subgroup_fusion': None, 'weyl_group': '2519424.ju'}
-
id: 173279018
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2455, -1, 3570, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.36.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '36.p1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279019
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2224, -1, 3493, -1], 'generators': [5013436529492301000, 240787501004160, 25626056133466984562, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 14721947159725634424, 26205796861097040, 26197956529971841, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.36.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '36.q1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279020
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 9, 'diagramx': [3597, -1, 3949, -1], 'generators': [5013436529492301000, 14721947160697830960, 72096988244520, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26197956529971120, 26197955038488960, 1561, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.36.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '36.r1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.R', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279021
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3340, -1, 3863, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721990313951974961, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 14728392687657702960, 22181160], 'label': '2519424.ju.36.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '36.s1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.S', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279022
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3538, -1, 3929, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 14721990313951974961, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 14728392687657702960, 22181160], 'label': '2519424.ju.36.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '36.t1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.T', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279023
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 36, 'diagramx': [2079, -1, 3445, -1], 'generators': [5013436529492301000, 14721947160697830960, 25626056133466984562, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 25987412715265560, 26205796861097040, 1561, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.36.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.H', 'old_label': '36.u1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.U', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279024
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2152, -1, 3469, -1], 'generators': [5013436529492301000, 231552291404161, 14721947160697830960, 25626056133466984562, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26205796861097040, 26037156694723203, 1498740600, 1346674637164953600], 'label': '2519424.ju.36.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '36.v1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.V', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279025
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1303, -1, 3187, -1], 'generators': [5013436529492301000, 35127514610723329442, 14722143281233176240, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 25987412715265560, 14728349533431363144, 1561, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.36.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '36.w1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.W', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279026
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [705, -1, 2989, -1], 'generators': [5013436529492301000, 14722143281233176240, 25626056133466984562, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 25987412715265560, 14728349533431363144, 1561, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.36.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '36.x1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.X', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279027
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [3129, -1, 3793, -1], 'generators': [5013436529492301000, 14728349533431363144, 231552291404161, 25626056133466984562, 14721069668808913944, 14722143281233176240, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.36.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '36.y1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.Y', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279028
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '6.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6.C', 'coset_action_label': None, 'count': 1, 'diagramx': [315, 1719, 410, 2448], 'generators': [14721990313951973544, 231552291404880, 26197956529971120, 5013436529492301000, 25626056133466984562, 72096988244520, 32532852243692727627, 14721069668808913944, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.6.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6.c1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.C', 'subgroup_fusion': None, 'weyl_group': '2519424.ju'}
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id: 173279029
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 18, 'diagramx': [851, -1, 3037, -1], 'generators': [231552291404880, 5013436529477376000, 14727325581047925624, 2011383969240960, 5016144741989453304, 231546064383360, 2932030193304960, 1346674637164953600, 4990535497683612747, 33147455248318604427, 14721069668794359144, 1561], 'label': '2519424.ju.36.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '36.z1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279030
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3657, -1, 3969, -1], 'generators': [5013436529492301000, 14721947160697830960, 72096988244520, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 25987412715265560, 26197956529971120, 1561, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.36.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '36.ba1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279031
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2911, -1, 3721, -1], 'generators': [1344938082009143040, 5013436529492301000, 6723274419409817544, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 5013436531251952344, 231552291404880, 26197956529971120, 1561, 26037156694723203], 'label': '2519424.ju.36.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '36.bb1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279032
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 2, 'diagramx': [3479, -1, 3909, -1], 'generators': [5013436529492301000, 14721990313951973544, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 1561, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.36.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '36.bc1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279033
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1012, -1, 3091, -1], 'generators': [14728392687657702960, 5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 2932030193304960, 26197956529971120, 1561, 26037156694723203, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.36.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '36.bd1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279034
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4020, -1, 4089, -1], 'generators': [5013436529492301000, 240787501004160, 25626056133466984562, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 25987412715265560, 26205796861097040, 1561, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.36.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.H', 'old_label': '36.be1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279035
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [2844, -1, 3699, -1], 'generators': [5013436529492301000, 231552291404161, 14721947160697830960, 72096988244520, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26197956529971120, 26197955038488960, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.36.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '36.bf1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279036
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [340, -1, 2868, -1], 'generators': [231552291404880, 72096988244520, 14721069668808913944, 27475552387992240, 1344938082009143040, 231546064383360, 27438943780206843, 5015991775107047040, 14728392687657702960, 15694447664650543200, 1561, 22181160], 'label': '2519424.ju.36.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.BG', 'old_label': '36.bg1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279037
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [121, -1, 2795, -1], 'generators': [231552291404880, 5013436529492301000, 14719435067706566664, 72096988244520, 4990316984825096904, 1344938082009143040, 231546064383360, 4990535497683612747, 14728392687657702960, 6723274419409817544, 1561, 22181160], 'label': '2519424.ju.36.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '36.bh1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279038
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2785, -1, 3679, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 14728392687657702960, 1561, 22181160], 'label': '2519424.ju.36.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '36.bi1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279039
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '6.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6.D', 'coset_action_label': None, 'count': 1, 'diagramx': [627, 5292, 513, 3106], 'generators': [25626056133466983843, 14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 32532852243692727627, 14721069668808913944, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.6.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6.d1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.D', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
-
id: 173279040
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [2552, -1, 3602, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 14719435067706566664, 72096988244520, 25987412715265560, 1344938082009143040, 231546064383360, 26037156694723203, 6723274419409817544, 1561, 22181160], 'label': '2519424.ju.36.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '36.bj1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279041
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1933, -1, 3396, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 2932030193304960, 25987412715265560, 26197956529971120, 1561, 26037156694723203, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.36.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '36.bk1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279042
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 12, 'diagramx': [2006, -1, 3421, -1], 'generators': [5013436529492301000, 6723274419409817544, 72096988244520, 231546064383360, 22181160, 231552291404880, 2932030193304960, 25987412715265560, 26197956529971120, 1561, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.36.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.L', 'old_label': '36.bl1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279043
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1502, -1, 3253, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.36.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '36.bm1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279044
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1568, -1, 3275, -1], 'generators': [5013436529492301000, 240787501004160, 25626056133466984562, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 14721947159725634424, 26205796861097040, 14721990313951974961, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.36.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '36.bn1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279045
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2370, -1, 3542, -1], 'generators': [231552291404880, 5013436529492301000, 14728349533431363144, 14721069668808913944, 14722143281233176240, 39352723053170336042, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 14728392687657702960, 22181160], 'label': '2519424.ju.36.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '36.bo1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279046
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [486, -1, 2916, -1], 'generators': [5013436529492301000, 240787501004160, 25626056133466984562, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 25987412715265560, 26205796861097040, 26037156694723203, 14728349533431362425, 1346674637164953600], 'label': '2519424.ju.36.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.H', 'old_label': '36.bp1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279047
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [3412, -1, 3887, -1], 'generators': [231552291404880, 5013436529492301000, 14728349533431363144, 14721069668808913944, 14722143281233176240, 39352723053170336042, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.36.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '36.bq1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279048
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [4324, -1, 4190, -1], 'generators': [25626056133466983843, 231552291404880, 5013436529492301000, 14728349533431363144, 14721069668808913944, 14722143281233176240, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.36.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '36.br1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BR', 'subgroup_fusion': None, 'weyl_group': '93312.v'}
-
id: 173279049
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [43, -1, 2770, -1], 'generators': [231552291404880, 5013436529492301000, 14728349533431363144, 14721069668808913944, 14722143281233176240, 39352723053170335323, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.36.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '36.bs1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BS', 'subgroup_fusion': None, 'weyl_group': '93312.v'}
-
id: 173279050
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '6.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6.E', 'coset_action_label': None, 'count': 1, 'diagramx': [396, 3443, 437, 2765], 'generators': [2696223727036965840, 14721990313951973544, 231552291404880, 28367527094610320184, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.6.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6.e1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.E', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
-
id: 173279051
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1376, -1, 3212, -1], 'generators': [231552291404880, 5013436529492301000, 14728349533431363144, 25626056133466984562, 14721069668808913944, 14722143281233176240, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.36.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '36.bt1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279052
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2647, -1, 3633, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 14719435067706566664, 72096988244520, 25987412715265560, 1344938082009143040, 231546064383360, 26037156694723203, 5013436531251952344, 6723274419409817544, 22181160], 'label': '2519424.ju.36.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '36.bu1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279053
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '108.A', 'coset_action_label': None, 'count': 2, 'diagramx': [1788, -1, 3348, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.36.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '36.bv1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279054
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '108.A', 'coset_action_label': None, 'count': 4, 'diagramx': [1860, -1, 3372, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 6692816396923348323, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.36.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '36.bw1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279055
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '108.A', 'coset_action_label': None, 'count': 2, 'diagramx': [3869, -1, 4039, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 9069933219606927627, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.36.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '36.bx1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279056
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '108.A', 'coset_action_label': None, 'count': 2, 'diagramx': [3943, -1, 4063, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 32577656728471193068, 22181160], 'label': '2519424.ju.36.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '36.by1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BY', 'subgroup_fusion': None, 'weyl_group': '419904.a'}
-
id: 173279057
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 18, 'diagramx': [4099, -1, 4115, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 2696935103847991682, 20010062269957174080, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.36.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.K', 'old_label': '36.bz1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BZ', 'subgroup_fusion': None, 'weyl_group': '139968.c'}
-
id: 173279058
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2298, -1, 3517, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 25626056133466984562, 72096988244520, 14721069668808913944, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.36.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '36.ca1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CA', 'subgroup_fusion': None, 'weyl_group': '419904.ik'}
-
id: 173279059
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.C', 'coset_action_label': None, 'count': 6, 'diagramx': [632, -1, 2965, -1], 'generators': [14721990313951973544, 231552291404880, 28367527094610320184, 5013436529492301000, 26197956529971120, 25626056133466984562, 72096988244520, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.36.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '36.cb1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CB', 'subgroup_fusion': None, 'weyl_group': '419904.a'}
-
id: 173279060
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '216.A', 'coset_action_label': None, 'count': 12, 'diagramx': [559, -1, 2940, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 25626056133466984562, 72096988244520, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 32577656728471193068, 22181160], 'label': '2519424.ju.36.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.J', 'old_label': '36.cc1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CC', 'subgroup_fusion': None, 'weyl_group': '419904.a'}
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id: 173279061
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '6.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.C', 'coset_action_label': None, 'count': 3, 'diagramx': [230, -1, 382, -1], 'generators': [14721990313951973544, 231552291404880, 28367527094610320184, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.6.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '6.f1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.F', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279062
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 36, 'diagramx': [931, -1, 3064, -1], 'generators': [14728356034455552720, 5013436529492301000, 36103377022669602121, 28519278515364189840, 14721947160697830960, 231546064383360, 22181160, 231553786515120, 14721069668808913944, 2932030193304960, 25987414206746161, 1346674637164953600], 'label': '2519424.ju.36.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.CD', 'old_label': '36.cd1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CD', 'subgroup_fusion': None, 'weyl_group': '69984.a'}
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id: 173279063
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 36, 'diagramx': [3198, -1, 3816, -1], 'generators': [5013436529492301000, 28367527094610320184, 25626056133427078561, 14721947160697830960, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26205796861097040, 26197956529971841, 1498740600, 1346674637164953600], 'label': '2519424.ju.36.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.CE', 'old_label': '36.ce1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CE', 'subgroup_fusion': None, 'weyl_group': '69984.j'}
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id: 173279064
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1642, -1, 3300, -1], 'generators': [5013436529492301000, 14721947160697830960, 25626056133466984562, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26205796861097040, 26197956529971841, 26037156694723203, 1498740600, 1346674637164953600], 'label': '2519424.ju.36.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '36.cf1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279065
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 3, 'diagramx': [1230, -1, 3163, -1], 'generators': [5013436529492301000, 14728349533431363144, 14721069668808913944, 14722143281233176240, 25987412715265560, 231546064383360, 26197956529971841, 26037156694723203, 2932030193304960, 1346674637164953600, 35127514610723329442, 22181160], 'label': '2519424.ju.36.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.C', 'old_label': '36.cg1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CG', 'subgroup_fusion': None, 'weyl_group': '839808.ju'}
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id: 173279066
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '36.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1714, -1, 3324, -1], 'generators': [5013436529492301000, 14728349533431363144, 25626056133466984562, 14721069668808913944, 14722143281233176240, 25987412715265560, 231546064383360, 26197956529971841, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.36.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '36.ch1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279067
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1635, -1, 4746, -1], 'generators': [5013436529492301000, 25987414206747720, 26037104882670840, 231546064383360, 22181160, 14722143281233174825, 2932030193304960, 14721069668808913944, 25987414195814403, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.48.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.J', 'old_label': '48.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279068
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1708, -1, 4770, -1], 'generators': [25987414195814403, 5013436529492301000, 15695159037580200960, 14721069668808913944, 72096988245241, 231546064383360, 2932030193304960, 1346674637164953600, 25987414206747720, 14728545654938902824, 22181160], 'label': '2519424.ju.48.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.J', 'old_label': '48.b1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279069
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1133, -1, 4579, -1], 'generators': [5013436529492301000, 28367527094610320184, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 1561, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.48.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.E', 'old_label': '48.c1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279070
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2255, -1, 4951, -1], 'generators': [5013436529492301000, 25987414206747720, 42896155524816758547, 14721990313951973544, 231546064383360, 22181160, 14925003, 14721069668808913944, 2932030193304960, 1561, 1346674637164953600], 'label': '2519424.ju.48.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '48.d1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279071
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 24, 'diagramx': [841, -1, 4483, -1], 'generators': [26037104882670840, 25987414195814403, 5013436529492301000, 15695159037580200960, 14721069668808913944, 72096988245241, 231546064383360, 2932030193304960, 1346674637164953600, 25987414206747720, 22181160], 'label': '2519424.ju.48.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.J', 'old_label': '48.e1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279138
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 36, 'diagramx': [281, -1, 5696, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 25987412715265560, 26197956529971841, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.72.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '72.f1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.F', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279072
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '6.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '18.A', 'coset_action_label': None, 'count': 2, 'diagramx': [542, -1, 485, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.6.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '6.g1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279073
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2850, -1, 5149, -1], 'generators': [5013436529492301000, 25987414206747720, 231546064383360, 22181160, 14722143281233174825, 14721069668808913944, 2932030193304960, 25987414195814403, 15695159037580200960, 14728545654938902824, 1346674637164953600], 'label': '2519424.ju.48.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.J', 'old_label': '48.f1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279074
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 16, 'diagramx': [2109, -1, 4903, -1], 'generators': [1344938082009143040, 6723274419409817544, 43267438329480298323, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 231552291404880, 72096988244523, 1561, 5015071130678472960], 'label': '2519424.ju.48.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.A', 'old_label': '48.g1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279075
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1061, -1, 4555, -1], 'generators': [1344938082009143040, 43267438329480298323, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 231552291404880, 72096988244523, 1561, 15695159037580200960, 5015071130678472960], 'label': '2519424.ju.48.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.A', 'old_label': '48.h1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279076
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 8, 'diagramx': [422, -1, 4343, -1], 'generators': [1344938082009143040, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 231552291404880, 72096988244523, 1561, 15695159037580200960, 5015071130678472960, 32532852243692727627], 'label': '2519424.ju.48.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '48.i1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279077
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 16, 'diagramx': [568, -1, 4392, -1], 'generators': [1344938082009143040, 43267438329480298323, 72096988244520, 1590000264636679440, 14719435067706566664, 231546064383360, 22181160, 231552291404880, 72096988244523, 1561, 5015071130678472960], 'label': '2519424.ju.48.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.A', 'old_label': '48.j1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279078
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 16, 'diagramx': [495, -1, 4368, -1], 'generators': [1344938082009143040, 72096988244520, 1590000264636679440, 14719435067706566664, 231546064383360, 22181160, 231552291404880, 72096988244523, 1561, 5015071130678472960, 32532852243692727627], 'label': '2519424.ju.48.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.A', 'old_label': '48.k1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279079
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1562, -1, 4722, -1], 'generators': [231552291404880, 5013436529492301000, 72096988244520, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 42895967177478700227, 72096988244523, 1561, 22181160], 'label': '2519424.ju.48.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '48.l1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279080
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 2, 'diagramx': [192, -1, 4267, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 72096988244523, 1561, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.48.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '48.m1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279081
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [987, -1, 4531, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 72096988244523, 1561, 9069933219599631124, 1346674637164953600], 'label': '2519424.ju.48.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '48.n1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279082
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [915, -1, 4507, -1], 'generators': [231552291404880, 5013436529492301000, 72096988244520, 32532852243692727627, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 72096988244523, 1561, 22181160], 'label': '2519424.ju.48.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '48.o1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279083
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '6.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.A', 'coset_action_label': None, 'count': 3, 'diagramx': [48, -1, 321, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 2696935103847991682, 9069933219599631124, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.6.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.C', 'old_label': '6.h1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.H', 'subgroup_fusion': None, 'weyl_group': '839808.ju'}
-
id: 173279084
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [279, -1, 4296, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 25987412715265560, 72096988244523, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.48.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '48.p1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279085
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2918, -1, 5171, -1], 'generators': [6723274419409817544, 2932030207865520, 14721990313951973544, 5015991775230476667, 72096988245241, 22478971617288083763, 14721069668805286560, 1346674637172217800, 4990381148047419384, 5013436529477376000, 231546079307520], 'label': '2519424.ju.48.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.I', 'old_label': '48.q1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279086
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2519424.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2532, -1, 5044, -1], 'generators': [6723274419409817544, 2932030207865520, 14721069668794359147, 14721990313951973544, 72096988245241, 14721069668805286560, 1346674637172217800, 4990381148047419384, 5013436529477376000, 231546079307520, 32531438636763590427], 'label': '2519424.ju.48.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.R', 'old_label': '48.r1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279087
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2469, -1, 5023, -1], 'generators': [14721990313951973544, 5013436529492301000, 15695159037580200960, 14721069668808913944, 72096988245241, 231546064383360, 2932030193304960, 1346674637164953600, 25987414206747720, 21312110025595510104, 22181160], 'label': '2519424.ju.48.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.E', 'old_label': '48.s1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279088
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [2776, -1, 5124, -1], 'generators': [5013436529492301000, 25987414206747720, 14721990313951973544, 72096988245241, 231546064383360, 22181160, 14925003, 14721069668808913944, 2932030193304960, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.48.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '48.t1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279089
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 2, 'diagramx': [1849, -1, 4817, -1], 'generators': [14721990313951973544, 5013436529492301000, 14721069668808913944, 14925003, 42896155524816758547, 231546064383360, 72096988245241, 2932030193304960, 1346674637164953600, 25987414206747720, 22181160], 'label': '2519424.ju.48.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '48.u1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279090
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [701, -1, 4436, -1], 'generators': [5013436529492301000, 25987414206747720, 14721990313951973544, 72096988245241, 231546064383360, 22181160, 14925003, 14721069668808913944, 2932030193304960, 9069933219599631124, 1346674637164953600], 'label': '2519424.ju.48.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '48.v1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279091
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [636, -1, 4415, -1], 'generators': [14721990313951973544, 5013436529492301000, 32532852243692727627, 14721069668808913944, 14925003, 72096988245241, 231546064383360, 2932030193304960, 1346674637164953600, 25987414206747720, 22181160], 'label': '2519424.ju.48.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '48.w1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279092
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 24, 'diagramx': [112, -1, 4241, -1], 'generators': [5015071130678472960, 231552291404880, 14719435067706566664, 15695159037580200960, 72096988244520, 32532852243692727627, 1344938082009143040, 231546064383360, 14728392687657702960, 72096988244523, 22181160], 'label': '2519424.ju.48.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.I', 'old_label': '48.x1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279093
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 8, 'diagramx': [769, -1, 4458, -1], 'generators': [5013436529492301000, 25987414206747720, 14721990313951973544, 26037104882670840, 231546064383360, 22181160, 14925003, 14721069668808913944, 2932030193304960, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.48.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '48.y1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279094
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '6.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.C', 'coset_action_label': None, 'count': 3, 'diagramx': [718, -1, 543, -1], 'generators': [14721990313951973544, 231552291404880, 28367527094610320184, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 2696935103847991682, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.6.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '6.i1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.I', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
-
id: 173279095
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 2, 'diagramx': [2327, -1, 4976, -1], 'generators': [231552291404880, 5013436529492301000, 15695159037580200960, 72096988244520, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 72096988244523, 22181160], 'label': '2519424.ju.48.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '48.z1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279096
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 8, 'diagramx': [3059, -1, 5218, -1], 'generators': [231552291404880, 5013436529492301000, 72096988244520, 14721069668808913944, 9069933219599631124, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 72096988244523, 22181160], 'label': '2519424.ju.48.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '48.ba1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279097
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 8, 'diagramx': [2986, -1, 5194, -1], 'generators': [231552291404880, 5013436529492301000, 72096988244520, 32532852243692727627, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 72096988244523, 22181160], 'label': '2519424.ju.48.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '48.bb1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279098
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1275, -1, 4626, -1], 'generators': [5013436529492301000, 25987414206747720, 14721990313951973544, 26037104882670840, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 32211332583665049628, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.48.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.C', 'old_label': '48.bc1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BC', 'subgroup_fusion': None, 'weyl_group': '52488.kx'}
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id: 173279099
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1416, -1, 4673, -1], 'generators': [231552291404880, 5013436529492301000, 15695159037580200960, 72096988244520, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 32577656728471193068, 14728392687657702960, 22181160], 'label': '2519424.ju.48.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.C', 'old_label': '48.bd1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BD', 'subgroup_fusion': None, 'weyl_group': '52488.kx'}
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id: 173279100
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1206, -1, 4604, -1], 'generators': [231552291404880, 28367527094610320184, 5013436529492301000, 15695159037580200960, 72096988244520, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 22181160], 'label': '2519424.ju.48.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '48.be1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279101
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1344, -1, 4649, -1], 'generators': [231552291404880, 2932030193304960, 14728392687657702960, 5013436529492301000, 1346674637164953600, 22181160, 72096988244520, 14721069668808913944, 15695159037576571444, 231546064383360, 32577656728471193068], 'label': '2519424.ju.48.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.C', 'old_label': '48.bf1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BF', 'subgroup_fusion': None, 'weyl_group': '52488.kx'}
-
id: 173279102
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1489, -1, 4697, -1], 'generators': [231552291404880, 2932030193304960, 14728392687657702960, 5013436529492301000, 1346674637164953600, 22181160, 72096988244520, 14721069668808913944, 28367527094610320184, 231546064383360, 16425488615051629443], 'label': '2519424.ju.48.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.C', 'old_label': '48.bg1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BG', 'subgroup_fusion': None, 'weyl_group': '52488.kx'}
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id: 173279103
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2401, -1, 5000, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 72096988244523, 26197956529971841, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.48.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '48.bh1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279104
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2181, -1, 4927, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 26037156694723203, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.48.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '48.bi1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279105
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '2.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.A', 'coset_action_label': None, 'count': 1, 'diagramx': [250, 6067, 116, 1385], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 32532852243692727627, 14721069668808913944, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.2.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.A', 'subgroup_fusion': None, 'weyl_group': '2519424.ju'}
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id: 173279106
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '6.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.B', 'coset_action_label': None, 'count': 6, 'diagramx': [800, -1, 571, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 15695159037576571444, 72096988244520, 14721069668808913944, 2696935103847991682, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 32577656728471193068, 22181160], 'label': '2519424.ju.6.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.J', 'old_label': '6.j1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.J', 'subgroup_fusion': None, 'weyl_group': '419904.a'}
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id: 173279107
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 12, 'diagramx': [2608, -1, 5069, -1], 'generators': [2932030193304960, 14728545653495366907, 26197956529971120, 5013436529492301000, 1346674637164953600, 22181160, 4987513279999360200, 14721953661700205904, 14721069668808913944, 9069933219599631124, 231546064383360], 'label': '2519424.ju.48.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.U', 'old_label': '48.bj1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BJ', 'subgroup_fusion': None, 'weyl_group': '13500.h'}
-
id: 173279108
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 12, 'diagramx': [2696, -1, 5098, -1], 'generators': [5013436529492301000, 14721947160697830960, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26205796861097040, 26037156694723203, 1498740600, 32532852243692727627, 1346674637164953600], 'label': '2519424.ju.48.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.V', 'old_label': '48.bk1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279109
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 48, 'diagramx': [1781, -1, 4794, -1], 'generators': [5013436529492301000, 16425491230400324400, 72096988245241, 231546064383360, 22181160, 2932030193304960, 14721069668808913944, 8454726044035908744, 14728545654938902824, 1346674637164953600, 2696223727036965121], 'label': '2519424.ju.48.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.BL', 'old_label': '48.bl1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279110
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2040, -1, 4880, -1], 'generators': [5013436529492301000, 26197956529971120, 14721947160697829545, 14721069668808913944, 9069933219599631124, 14721953661700205904, 231546064383360, 2932030193304960, 14728545653495366907, 1346674637164953600, 22181160], 'label': '2519424.ju.48.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.X', 'old_label': '48.bm1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BM', 'subgroup_fusion': None, 'weyl_group': '104976.ho'}
-
id: 173279111
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1913, -1, 4838, -1], 'generators': [5013436529492301000, 32532852243692727627, 14721069668808913944, 14721947160697830960, 231546064383360, 26197956529971841, 26205796861097040, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.48.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.Y', 'old_label': '48.bn1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BN', 'subgroup_fusion': None, 'weyl_group': '104976.ho'}
-
id: 173279112
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 48, 'diagramx': [39, -1, 4216, -1], 'generators': [5013436529492301000, 72096988245241, 231546064383360, 22181160, 14925003, 2932030193304960, 14721069668808913944, 2696935103847991682, 9069933219599631124, 14728545654938902824, 1346674637164953600], 'label': '2519424.ju.48.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.BO', 'old_label': '48.bo1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BO', 'subgroup_fusion': None, 'weyl_group': '52488.jh'}
-
id: 173279113
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 16, 'diagramx': [3127, -1, 5241, -1], 'generators': [5013436529492301000, 39378688061188503722, 72096988245241, 231546064383360, 22181160, 14925003, 2932030193304960, 14721069668808913944, 14728545654938902824, 1346674637164953600, 32532852243692727627], 'label': '2519424.ju.48.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '48.bp1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BP', 'subgroup_fusion': None, 'weyl_group': '157464.pm'}
-
id: 173279114
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '48.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1977, -1, 4859, -1], 'generators': [5013436529492301000, 26197956529971120, 14721069668808913944, 2696935103847991682, 9069933219599631124, 14721953661700205904, 231546064383360, 2932030193304960, 14728545653495366907, 1346674637164953600, 22181160], 'label': '2519424.ju.48.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.Z', 'old_label': '48.bq1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BQ', 'subgroup_fusion': None, 'weyl_group': '104976.ho'}
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id: 173279115
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id: 173279116
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '54.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 27, 'diagramx': [184, -1, 5312, -1], 'generators': [5013436529492301000, 14721947160697830960, 72096988244520, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26197956529971120, 26197955038488960, 1561, 38122985495205284545, 1346674637164953600], 'label': '2519424.ju.54.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1', 'old_label': '54.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.A', 'subgroup_fusion': None, 'weyl_group': '93312.v'}
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id: 173279117
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '6.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.A', 'coset_action_label': None, 'count': 3, 'diagramx': [141, -1, 352, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 9069933219599631124, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 2696935103847992403, 1346674637164953600, 22181160], 'label': '2519424.ju.6.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.C', 'old_label': '6.k1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.K', 'subgroup_fusion': None, 'weyl_group': '279936.a'}
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id: 173279118
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '54.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 27, 'diagramx': [39, -1, 5264, -1], 'generators': [5013436529492301000, 11232659459593969345, 14721947160697830960, 72096988244520, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26197956529971120, 26197955038488960, 1561, 1346674637164953600], 'label': '2519424.ju.54.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1', 'old_label': '54.b1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.B', 'subgroup_fusion': None, 'weyl_group': '93312.v'}
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id: 173279119
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '54.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 27, 'diagramx': [560, -1, 5436, -1], 'generators': [38122985495205284545, 5013436529492301000, 26197956529971120, 231552291404161, 72096988244520, 14721069668808913944, 14721947160697830960, 26197955038488960, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.54.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1', 'old_label': '54.c1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.C', 'subgroup_fusion': None, 'weyl_group': '93312.v'}
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id: 173279120
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '54.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 27, 'diagramx': [112, -1, 5288, -1], 'generators': [5013436529492301000, 11232659459593969345, 231552291404161, 14721947160697830960, 72096988244520, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26197956529971120, 26197955038488960, 1346674637164953600], 'label': '2519424.ju.54.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1', 'old_label': '54.d1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.D', 'subgroup_fusion': None, 'weyl_group': '93312.v'}
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id: 173279121
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '54.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2519424.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [824, -1, 5524, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 14719435067706566664, 72096988244520, 25987412715265560, 1344938082009143040, 231546064383360, 5013436531251952344, 6723274419409817544, 1561, 22181160], 'label': '2519424.ju.54.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.E', 'old_label': '54.e1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279122
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '54.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '108.A', 'coset_action_label': None, 'count': 3, 'diagramx': [625, -1, 5458, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.54.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '54.f1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.F', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279123
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '54.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 54, 'diagramx': [258, -1, 5336, -1], 'generators': [231552291404880, 5013436529492301000, 14719435067706566664, 5013486223349955984, 4987680669355524504, 25987412715265560, 231546064383360, 26037156694723203, 35127620625795995042, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.54.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.G', 'old_label': '54.g1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.G', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279124
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '54.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 54, 'diagramx': [481, -1, 5411, -1], 'generators': [1591067324431883520, 231552291404880, 14719435067684391264, 5013436529477376000, 2867823337881600, 14726047984870528080, 25987412715265560, 1763643024, 5352761029970231547, 5380003822895756664, 22479690906408562083, 1561], 'label': '2519424.ju.54.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.H', 'old_label': '54.h1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.H', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279125
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '54.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 54, 'diagramx': [751, -1, 5500, -1], 'generators': [1344938082009143040, 1588347319210827840, 72096988244520, 231546064383360, 22181160, 231552291404880, 25987412715265560, 26197956529971120, 1561, 323367264, 26037156694723203, 493579258046305920], 'label': '2519424.ju.54.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.I', 'old_label': '54.i1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.I', 'subgroup_fusion': None, 'weyl_group': '23328.id'}
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id: 173279126
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '54.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 18, 'diagramx': [685, -1, 5478, -1], 'generators': [4990535497683612747, 14727325581047925624, 14721069668794359144, 2011383969240960, 231546064383360, 231552291404880, 2932030193304960, 25987412715265560, 5013436529477376000, 1561, 5016144741989453304, 1346674637164953600], 'label': '2519424.ju.54.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '54.j1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279127
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '54.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '108.A', 'coset_action_label': None, 'count': 9, 'diagramx': [330, -1, 5361, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 25626056133466984562, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.54.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '54.k1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.K', 'subgroup_fusion': None, 'weyl_group': '279936.a'}
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id: 173279128
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '6.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '18.B', 'coset_action_label': None, 'count': 2, 'diagramx': [468, -1, 461, -1], 'generators': [14721990313951973544, 231552291404880, 28367527094610320184, 5013436529492301000, 26197956529971120, 15695159037576571444, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 2696935103847992403, 1346674637164953600, 22181160], 'label': '2519424.ju.6.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '6.l1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.L', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279129
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '54.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '108.A', 'coset_action_label': None, 'count': 3, 'diagramx': [404, -1, 5385, -1], 'generators': [14721990313951973544, 38122985495205286104, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.54.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.C', 'old_label': '54.l1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.L', 'subgroup_fusion': None, 'weyl_group': '279936.a'}
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id: 173279130
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '64.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 32, 'diagramx': [34, -1, 5547, -1], 'generators': [5013436529492301000, 72096988245241, 231546064383360, 22181160, 14925003, 2932030193304960, 14721069668808913944, 15695159037580200960, 32531438636763590427, 1346674637164953600], 'label': '2519424.ju.64.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.B', 'old_label': '64.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279131
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '64.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 16, 'diagramx': [171, -1, 5592, -1], 'generators': [32531438636763590427, 5013436529492301000, 15695159037580200960, 14721069668808913944, 14925003, 231546064383360, 2932030193304960, 1346674637164953600, 14728545654938902824, 22181160], 'label': '2519424.ju.64.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.b1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279132
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '64.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 32, 'diagramx': [103, -1, 5570, -1], 'generators': [2932030193304960, 16425491230400324400, 5013436529492301000, 32167464487163802987, 1346674637164953600, 22181160, 14721069668808913944, 2696935103847991682, 14925003, 231546064383360], 'label': '2519424.ju.64.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.C', 'old_label': '64.c1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279133
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 1, 'diagramx': [8559, 4516, 8442, 8279], 'generators': [5013436529492301000, 14721990313951973544, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '72.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.A', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279134
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 1, 'diagramx': [3490, 3088, 6760, 8016], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 20010062269957174080, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.72.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '72.b1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.B', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279135
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.C', 'coset_action_label': None, 'count': 1, 'diagramx': [3417, 1518, 6736, 7726], 'generators': [5013436529492301000, 28367527094610320184, 14721990313951973544, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 1346674637164953600], 'label': '2519424.ju.72.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '72.c1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.C', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279136
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [363, -1, 5723, -1], 'generators': [1344938082009143040, 5013436529492301000, 6723274419409817544, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 231552291404880, 25987412715265560, 72096988244523, 26197956529971841], 'label': '2519424.ju.72.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '72.d1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279137
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2519424.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [528, -1, 5778, -1], 'generators': [231552291404880, 5013436529492301000, 14728349533431362425, 15695159037580200960, 72096988244520, 14720886638461792803, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.72.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.E', 'old_label': '72.e1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279139
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '8.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.A', 'coset_action_label': None, 'count': 1, 'diagramx': [46, 1671, 656, 4153], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 32532852243692727627, 14721069668808913944, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.8.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.A', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279140
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3344, -1, 6712, -1], 'generators': [14728392687657702960, 2011386007901544, 72096988244520, 1590000264636679440, 231546064383360, 22181160, 231552291404880, 2932030193304960, 2011383969241681, 72096988244523, 1346674637164953600], 'label': '2519424.ju.72.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '72.g1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.G', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279141
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3271, -1, 6687, -1], 'generators': [231552291404880, 5013436529492301000, 15695159037580200960, 72096988244520, 14721069668808913944, 14721990313951974961, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 22181160], 'label': '2519424.ju.72.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '72.h1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.H', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279142
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 18, 'diagramx': [9301, -1, 8688, -1], 'generators': [5013436529492301000, 14721990313951973544, 72096988245241, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 25987464545868723, 41557852677763463067], 'label': '2519424.ju.72.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '72.i1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279143
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2519424.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [9374, -1, 8712, -1], 'generators': [14721990313951973544, 231552291404880, 1372304915879275443, 26197956529971120, 5013436529492301000, 14721069668808913944, 72096988245241, 231546064383360, 2932030193304960, 42895967177478700227, 22181160], 'label': '2519424.ju.72.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.E', 'old_label': '72.j1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279144
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 18, 'diagramx': [9156, -1, 8640, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 14721069668808913944, 42895967177482329744, 72096988245241, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.72.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '72.k1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.K', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279145
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2709, -1, 6501, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 14721069668808913944, 42895967177482329744, 231546064383360, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.72.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '72.l1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.L', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279146
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 36, 'diagramx': [1103, -1, 5968, -1], 'generators': [14728392687657702960, 5013436529492301000, 240787501004160, 231546064383360, 22181160, 2932030193304960, 14721069668808913944, 26037106351972683, 26197956529971120, 14721990313951974961, 1346674637164953600], 'label': '2519424.ju.72.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.m1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.M', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279147
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6326, -1, 7701, -1], 'generators': [5013436529492301000, 240787501004160, 14728349534403557544, 231552291404161, 231546064383360, 22181160, 2932030193304960, 14721069668808913944, 26037106351972683, 26197956529971120, 1346674637164953600], 'label': '2519424.ju.72.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.n1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.N', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279148
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 36, 'diagramx': [6386, -1, 7721, -1], 'generators': [5013436529492301000, 240787501004160, 14728349534403557544, 231546064383360, 22181160, 2932030193304960, 14721069668808913944, 26037106351972683, 26197956529971120, 14721947160697829545, 1346674637164953600], 'label': '2519424.ju.72.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.o1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.O', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279149
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 36, 'diagramx': [5895, -1, 7558, -1], 'generators': [5013436529492301000, 240787501004160, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26037106351972683, 26197956529971120, 26197955038488960, 14721990313951974961, 1346674637164953600], 'label': '2519424.ju.72.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.p1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.P', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279150
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '8.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 8, 'diagramx': [128, -1, 683, -1], 'generators': [231552291404880, 5013436529492301000, 15695159037580200960, 72096988244520, 32532852243692727627, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 72096988244523, 1561, 22181160], 'label': '2519424.ju.8.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '8.b1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279151
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5955, -1, 7578, -1], 'generators': [5013436529492301000, 26037104882670840, 231546064383360, 22181160, 14722143281233174825, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 25987464545868723, 1346674637164953600], 'label': '2519424.ju.72.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.q1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.Q', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279152
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1648, -1, 6149, -1], 'generators': [5013436529492301000, 72096988245241, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 25987464545868723, 25987412715265560, 1346674637164953600], 'label': '2519424.ju.72.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.r1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279153
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1163, -1, 5988, -1], 'generators': [5013436529492301000, 14721947160697830960, 72096988244520, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26197956529971120, 1561, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.s1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279154
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [7324, -1, 8032, -1], 'generators': [2011386007901544, 72096988244520, 1590000264636679440, 231546064383360, 22181160, 231552291404880, 2932030193304960, 25987412715265560, 72096988244523, 26197956529971841, 1346674637164953600], 'label': '2519424.ju.72.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '72.t1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279155
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 12, 'diagramx': [5418, -1, 7400, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 2932030193304960, 25987412715265560, 72096988244523, 26197956529971841, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.72.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '72.u1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279156
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 24, 'diagramx': [5637, -1, 7472, -1], 'generators': [5013436529492301000, 6723274419409817544, 72096988244520, 231546064383360, 22181160, 231552291404880, 2932030193304960, 25987412715265560, 72096988244523, 26197956529971841, 1346674637164953600], 'label': '2519424.ju.72.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.L', 'old_label': '72.v1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279157
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1409, -1, 6070, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 25987412715265560, 72096988244523, 26197956529971841, 1346674637164953600], 'label': '2519424.ju.72.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '72.w1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.W', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279158
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2519424.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [9890, -1, 8883, -1], 'generators': [231552291404880, 14719435067706566664, 72096988244520, 1344938082009143040, 231546064383360, 1590000264636679440, 5015991775107047040, 21354796029994123944, 14728392687657702960, 1561, 22181160], 'label': '2519424.ju.72.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.X', 'old_label': '72.x1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.X', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279159
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 24, 'diagramx': [9666, -1, 8809, -1], 'generators': [14721990313951973544, 26037104882670840, 5013436529492301000, 15695159037580200960, 14721069668808913944, 72096988245241, 231546064383360, 2932030193304960, 1346674637164953600, 25987414206747720, 22181160], 'label': '2519424.ju.72.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.E', 'old_label': '72.y1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.Y', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279160
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5126, -1, 7303, -1], 'generators': [231552291404880, 5013436529492301000, 15695159037580200960, 72096988244520, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 1561, 22181160], 'label': '2519424.ju.72.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '72.z1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.Z', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279161
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '9.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.B', 'coset_action_label': None, 'count': 9, 'diagramx': [207, -1, 764, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 20010062269957174080, 36103377022669602121, 231546064383360, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.9.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '9.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.A', 'subgroup_fusion': None, 'weyl_group': '279936.a'}
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id: 173279162
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 24, 'diagramx': [8864, -1, 8543, -1], 'generators': [231552291404880, 5013436529492301000, 72096988244520, 14721069668808913944, 20010062269957174080, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 1561, 22181160], 'label': '2519424.ju.72.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.E', 'old_label': '72.ba1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279163
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 24, 'diagramx': [8937, -1, 8567, -1], 'generators': [231552291404880, 28367527094610320184, 5013436529492301000, 72096988244520, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 1561, 22181160], 'label': '2519424.ju.72.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.E', 'old_label': '72.bb1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279164
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [7082, -1, 7952, -1], 'generators': [14728392687657702960, 1344938082009143040, 5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 15693003991136193840, 72096988244523, 14721990313951974961], 'label': '2519424.ju.72.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.BG', 'old_label': '72.bc1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279165
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [6936, -1, 7903, -1], 'generators': [231552291404880, 5013436529492301000, 14719435067706566664, 72096988244520, 14721990313951974961, 1344938082009143040, 231546064383360, 14728392687657702960, 72096988244523, 6723274419409817544, 22181160], 'label': '2519424.ju.72.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '72.bd1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279166
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6207, -1, 7661, -1], 'generators': [231552291404880, 5013436529492301000, 72096988244520, 14721069668808913944, 14721990313951974961, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 72096988244523, 22181160], 'label': '2519424.ju.72.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '72.be1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279167
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [9447, -1, 8737, -1], 'generators': [14720923208800651920, 4990381103939315307, 2932030207865520, 14721990313951973544, 72096988245241, 14721069668805286560, 26197956529971120, 23331088712848857363, 5013436529477376000, 231546079307520, 1346674637164953600], 'label': '2519424.ju.72.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.BG', 'old_label': '72.bf1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279168
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [9229, -1, 8664, -1], 'generators': [4990381103939315307, 5013436529477376000, 4990316984825096904, 2011383969240960, 72096988245241, 231546064383360, 2932030193304960, 1346674637164953600, 23331088712848857363, 14721069668794359144, 14720923208800651920], 'label': '2519424.ju.72.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '72.bg1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279169
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7160, -1, 7978, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 1561, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.72.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '72.bh1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279170
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5777, -1, 7519, -1], 'generators': [5013436529492301000, 14721990313951973544, 72096988245241, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 25987464545868723, 1346674637164953600], 'label': '2519424.ju.72.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '72.bi1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279171
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [5013436529492301000, 26197956529971120, 14721947160697829545, 14721069668808913944, 25987412715265560, 14721953661700205904, 231546064383360, 2932030193304960, 14728545653495366907, 1346674637164953600, 22181160], 'label': '2519424.ju.72.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.bjB', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279172
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '9.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '18.B', 'coset_action_label': None, 'count': 3, 'diagramx': [121, -1, 735, -1], 'generators': [14721990313951973544, 231552291404880, 28367527094610320184, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 25626056133427078561, 1561, 22181160], 'label': '2519424.ju.9.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '9.b1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.B', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
-
id: 173279173
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [5013436529492301000, 14721947160697830960, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 25987412715265560, 26205796861097040, 26197956529971841, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.bjC', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279174
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2955, -1, 6583, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 25987412715265560, 1561, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.72.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '72.bk1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279175
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [2791, -1, 6528, -1], 'generators': [14721069668794359144, 14727325581047925624, 2011383969240960, 231546064383360, 231552291404880, 2932030193304960, 14727472046808199227, 5013436529477376000, 33147455248318604427, 1561, 1346674637164953600], 'label': '2519424.ju.72.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '72.bl1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279176
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [14728392687657702960, 5013436529492301000, 240787501004160, 231552291404161, 231546064383360, 22181160, 2932030193304960, 14721069668808913944, 26037106351972683, 26197956529971120, 1346674637164953600], 'label': '2519424.ju.72.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.bmB', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279177
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [14728392687657702960, 5013436529492301000, 240787501004160, 231546064383360, 22181160, 2932030193304960, 14721069668808913944, 26037106351972683, 26197956529971120, 1561, 1346674637164953600], 'label': '2519424.ju.72.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.bmC', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279178
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 36, 'diagramx': [8738, -1, 8501, -1], 'generators': [5013436529492301000, 240787501004160, 231552291404161, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26037106351972683, 26197956529971120, 26197955038488960, 1346674637164953600], 'label': '2519424.ju.72.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.bn1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279179
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 9, 'diagramx': [5836, -1, 7538, -1], 'generators': [5013436529492301000, 72096988245241, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 25987464545868723, 14728545654938902824, 1346674637164953600], 'label': '2519424.ju.72.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '72.bo1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BQ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279180
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6015, -1, 7598, -1], 'generators': [5013436529492301000, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 25987464545868723, 1561, 14728545654938902824, 1346674637164953600], 'label': '2519424.ju.72.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.bp1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BR', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279181
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [8797, -1, 8521, -1], 'generators': [5013436529492301000, 26037104882670840, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 25987464545868723, 1561, 1346674637164953600], 'label': '2519424.ju.72.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.bq1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BS', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279182
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6445, -1, 7741, -1], 'generators': [5013436529492301000, 14721947160697830960, 231552291404161, 72096988244520, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26197956529971120, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.br1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BT', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279227
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6504, -1, 7760, -1], 'generators': [5013436529492301000, 26037104882670840, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 25987464545868723, 14721990313951974961, 1346674637164953600], 'label': '2519424.ju.72.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.dd1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279183
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '9.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '18.A', 'coset_action_label': None, 'count': 3, 'diagramx': [41, -1, 709, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 25626056133466984562, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.9.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.C', 'old_label': '9.c1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.C', 'subgroup_fusion': None, 'weyl_group': '839808.ju'}
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id: 173279184
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8347, -1, 8371, -1], 'generators': [5013436529492301000, 14721990313951973544, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 25987464545868723, 41557852677763463067, 1561], 'label': '2519424.ju.72.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '72.bs1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BU', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279185
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 12, 'diagramx': [8420, -1, 8396, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 25987464545868723, 14721069668808913944, 231546064383360, 2932030193304960, 42895967177478700227, 1561, 22181160], 'label': '2519424.ju.72.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.L', 'old_label': '72.bt1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BV', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279186
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8619, -1, 8462, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 25987464545868723, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.72.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '72.bu1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279187
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [39, -1, 5615, -1], 'generators': [5013436529492301000, 39378688061188503722, 231552291404161, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26205796861097040, 26037156694723203, 14728545654938902824, 1346674637164953600], 'label': '2519424.ju.72.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '72.bv1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279188
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1919, -1, 6239, -1], 'generators': [5013436529492301000, 231552291404161, 25626056133466984562, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26205796861097040, 26037156694723203, 14728545654938902824, 1346674637164953600], 'label': '2519424.ju.72.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '72.bw1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279189
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [5013436529492301000, 14721947160697830960, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 25987412715265560, 26205796861097040, 1561, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '72.bxB', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279190
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [5013436529492301000, 26197956529971120, 14721069668808913944, 25987412715265560, 14721953661700205904, 231546064383360, 2932030193304960, 14728545653495366907, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.72.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.bxC', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279191
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 36, 'diagramx': [8492, -1, 8420, -1], 'generators': [5013436529492301000, 39378688061188503722, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 25987412715265560, 26205796861097040, 1561, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.H', 'old_label': '72.by1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279192
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 36, 'diagramx': [3925, -1, 6904, -1], 'generators': [5013436529492301000, 25626056133466984562, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 25987412715265560, 26205796861097040, 1561, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.H', 'old_label': '72.bz1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279193
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [14728545653495366907, 5013436529492301000, 4987513279999360200, 14721953661700205904, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26197956529971120, 1561, 1346674637164953600], 'label': '2519424.ju.72.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '72.caB', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279194
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.A', 'coset_action_label': None, 'count': 1, 'diagramx': [135, 3587, 821, 4833], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 9069933219599631124, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.12.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.A', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279195
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [5013436529492301000, 14721947160697830960, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26205796861097040, 1561, 26037156694723203, 1498740600, 1346674637164953600], 'label': '2519424.ju.72.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '72.caC', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279196
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 72, 'diagramx': [9739, -1, 8833, -1], 'generators': [26037104882670840, 5013436529492301000, 14719435067706566664, 14925003, 1344938082009143040, 72096988245241, 231546064383360, 5013436531251952344, 25987414206747720, 6723274419409817544, 22181160], 'label': '2519424.ju.72.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.CF', 'old_label': '72.cb1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279197
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [924, -1, 5909, -1], 'generators': [5013436529492301000, 240787501004160, 14728349534403557544, 231546064383360, 22181160, 2932030193304960, 14721069668808913944, 26037106351972683, 26197956529971120, 1561, 1346674637164953600], 'label': '2519424.ju.72.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.cc1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279198
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 36, 'diagramx': [1588, -1, 6129, -1], 'generators': [5013436529492301000, 240787501004160, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26037106351972683, 26197956529971120, 26197955038488960, 1561, 1346674637164953600], 'label': '2519424.ju.72.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.cd1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279199
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1707, -1, 6169, -1], 'generators': [5013436529492301000, 72096988245241, 231546064383360, 26037104882670840, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 25987464545868723, 1346674637164953600], 'label': '2519424.ju.72.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.ce1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279200
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 72, 'diagramx': [4975, -1, 7253, -1], 'generators': [14728392687657702960, 1344938082009143040, 6725892344691432264, 72096988244520, 231546064383360, 22181160, 231552291404880, 5015991775350212640, 72096988244523, 1561, 32532852243692727627], 'label': '2519424.ju.72.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.CJ', 'old_label': '72.cf1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CJ', 'subgroup_fusion': None, 'weyl_group': '11664.ja'}
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id: 173279201
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 24, 'diagramx': [9812, -1, 8858, -1], 'generators': [6723274419409817544, 2932030207865520, 14721990313951973544, 5015991775230476667, 72096988245241, 26037104882670840, 14721069668805286560, 1346674637172217800, 4990381148047419384, 5013436529477376000, 231546079307520], 'label': '2519424.ju.72.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.I', 'old_label': '72.cg1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279202
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2211, -1, 6336, -1], 'generators': [231552291404880, 14719435067706566664, 72096988244520, 1344938082009143040, 231546064383360, 1590000264636679440, 5015991775107047040, 14728392687657702960, 72096988244523, 1561, 22181160], 'label': '2519424.ju.72.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.I', 'old_label': '72.ch1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279203
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 24, 'diagramx': [7475, -1, 8082, -1], 'generators': [5015071130678472960, 231552291404880, 14719435067706566664, 72096988244520, 9069933219599631124, 1344938082009143040, 231546064383360, 14728392687657702960, 72096988244523, 1561, 22181160], 'label': '2519424.ju.72.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.I', 'old_label': '72.ci1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279204
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 24, 'diagramx': [7548, -1, 8106, -1], 'generators': [14728392687657702960, 1344938082009143040, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 231552291404880, 72096988244523, 1561, 5015071130678472960, 32532852243692727627], 'label': '2519424.ju.72.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.I', 'old_label': '72.cj1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279228
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [520, -1, 949, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 14721990313951974961, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.12.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '12.d1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279205
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.B', 'coset_action_label': None, 'count': 1, 'diagramx': [48, 1719, 793, 4488], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 32532852243692727627, 14721069668808913944, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.12.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.B', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279206
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [2357, -1, 6384, -1], 'generators': [14728392687657702960, 1344938082009143040, 5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 15693003991136193840, 72096988244523, 1561], 'label': '2519424.ju.72.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.BG', 'old_label': '72.ck1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279207
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2065, -1, 6288, -1], 'generators': [231552291404880, 5013436529492301000, 14719435067706566664, 72096988244520, 1344938082009143040, 231546064383360, 14728392687657702960, 72096988244523, 6723274419409817544, 1561, 22181160], 'label': '2519424.ju.72.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '72.cl1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279208
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 2, 'diagramx': [745, -1, 5849, -1], 'generators': [231552291404880, 5013436529492301000, 72096988244520, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 72096988244523, 1561, 22181160], 'label': '2519424.ju.72.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '72.cm1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CQ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279209
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [610, -1, 5805, -1], 'generators': [1344938082009143040, 15694447664650543200, 5015991775107047040, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 26197956529971120, 1561, 26037156694723203], 'label': '2519424.ju.72.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.BG', 'old_label': '72.cn1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CR', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279210
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [117, -1, 5641, -1], 'generators': [1344938082009143040, 5013436529492301000, 6723274419409817544, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 231552291404880, 26197956529971120, 1561, 26037156694723203], 'label': '2519424.ju.72.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '72.co1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279211
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5345, -1, 7376, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 2932030193304960, 26197956529971120, 1561, 26037156694723203, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.72.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '72.cp1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279212
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 12, 'diagramx': [5564, -1, 7448, -1], 'generators': [5013436529492301000, 6723274419409817544, 72096988244520, 231546064383360, 22181160, 231552291404880, 2932030193304960, 26197956529971120, 1561, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.L', 'old_label': '72.cq1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CU', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279213
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1469, -1, 6090, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 1561, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '72.cr1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CV', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279214
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3120, -1, 6637, -1], 'generators': [2011386007901544, 72096988244520, 1590000264636679440, 231546064383360, 22181160, 231552291404880, 2932030193304960, 25987412715265560, 72096988244523, 1561, 1346674637164953600], 'label': '2519424.ju.72.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '72.cs1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279215
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [8135, -1, 8301, -1], 'generators': [5013436529492301000, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 25987464545868723, 25987412715265560, 1561, 1346674637164953600], 'label': '2519424.ju.72.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '72.ct1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CX', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279216
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '2.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.B', 'coset_action_label': None, 'count': 1, 'diagramx': [156, 4046, 85, 1012], 'generators': [14721990313951973544, 231552291404880, 26197956529971120, 5013436529492301000, 15695159037580200960, 72096988244520, 32532852243692727627, 14721069668808913944, 2696935103847991682, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.2.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.B', 'subgroup_fusion': None, 'weyl_group': '2519424.ju'}
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id: 173279217
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.C', 'coset_action_label': None, 'count': 1, 'diagramx': [1249, 5311, 1191, 5150], 'generators': [14721990313951973544, 231552291404880, 28367527094610320184, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.12.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.C', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279218
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 12, 'diagramx': [4482, -1, 7089, -1], 'generators': [231552291404880, 5013436529492301000, 72096988244520, 14721069668808913944, 25987412715265560, 1344938082009143040, 231546064383360, 15693003991136193840, 72096988244523, 1561, 22181160], 'label': '2519424.ju.72.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.K', 'old_label': '72.cu1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279219
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 24, 'diagramx': [4894, -1, 7226, -1], 'generators': [1344938082009143040, 5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 25987412715265560, 72096988244523, 1561, 15695159037580200960], 'label': '2519424.ju.72.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.O', 'old_label': '72.cv1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.CZ', 'subgroup_fusion': None, 'weyl_group': '11664.ja'}
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id: 173279220
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 12, 'diagramx': [4236, -1, 7007, -1], 'generators': [1344938082009143040, 5013436529492301000, 6723274419409817544, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 231552291404880, 25987412715265560, 72096988244523, 1561], 'label': '2519424.ju.72.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '72.cw1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279221
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 24, 'diagramx': [4400, -1, 7062, -1], 'generators': [5013436529492301000, 6723274419409817544, 72096988244520, 231546064383360, 22181160, 231552291404880, 2932030193304960, 25987412715265560, 72096988244523, 1561, 1346674637164953600], 'label': '2519424.ju.72.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.L', 'old_label': '72.cx1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DB', 'subgroup_fusion': None, 'weyl_group': '23328.id'}
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id: 173279222
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8015, -1, 8262, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 25987412715265560, 72096988244523, 1561, 1346674637164953600], 'label': '2519424.ju.72.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '72.cy1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279223
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 36, 'diagramx': [6267, -1, 7681, -1], 'generators': [5013436529492301000, 240787501004160, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26037106351972683, 26197956529971120, 26197955038488960, 14721947160697829545, 1346674637164953600], 'label': '2519424.ju.72.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '72.cz1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279224
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1043, -1, 5948, -1], 'generators': [5013436529492301000, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 25987464545868723, 14721990313951974961, 14728545654938902824, 1346674637164953600], 'label': '2519424.ju.72.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '72.da1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279225
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3708, -1, 6833, -1], 'generators': [5013436529492301000, 240787501004160, 25626056133466984562, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 14721947159725634424, 26205796861097040, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '72.db1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279226
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7856, -1, 8209, -1], 'generators': [5013436529492301000, 240787501004160, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 39352723053170335323, 14721947159725634424, 26205796861097040, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '72.dc1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DG', 'subgroup_fusion': None, 'weyl_group': '46656.bp'}
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id: 173279229
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [8678, -1, 8481, -1], 'generators': [5013436529492301000, 14721947160697830960, 72096988244520, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26197956529971120, 25987412715265560, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '36.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '72.de1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DI', 'subgroup_fusion': None, 'weyl_group': '93312.v'}
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id: 173279230
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [865, -1, 5889, -1], 'generators': [5013436529492301000, 231546064383360, 22181160, 14722143281233174825, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 25987464545868723, 25987412715265560, 1346674637164953600], 'label': '2519424.ju.72.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '72.df1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279231
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [9520, -1, 8761, -1], 'generators': [5013436529492301000, 240787501004160, 25626056133466984562, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 25987412715265560, 26205796861097040, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.H', 'old_label': '72.dg1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279232
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7694, -1, 8155, -1], 'generators': [5013436529492301000, 240787501004160, 25626056133466983843, 231546064383360, 22181160, 2932030193304960, 14721069668808913944, 25987412715265560, 26205796861097040, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.H', 'old_label': '72.dh1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DL', 'subgroup_fusion': None, 'weyl_group': '15552.cb'}
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id: 173279233
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1528, -1, 6109, -1], 'generators': [5013436529492301000, 14721947160697830960, 72096988244520, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26197956529971120, 26197955038488960, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '36.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '72.di1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DM', 'subgroup_fusion': None, 'weyl_group': '93312.v'}
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id: 173279234
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [9968, -1, 8909, -1], 'generators': [231552291404880, 5013436529492301000, 14728349533431363144, 14721069668808913944, 14722143281233176240, 39352723053170336042, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.72.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '72.dj1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279235
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1774, -1, 6191, -1], 'generators': [5013436529492301000, 14722143281233176240, 25626056133466984562, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 14728349533431363144, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '72.dk1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279236
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5200, -1, 7327, -1], 'generators': [231552291404880, 2011386007901544, 72096988244520, 25987412715265560, 231546064383360, 2932030193304960, 1590000264636679440, 1346674637164953600, 2011383969241681, 72096988244523, 22181160], 'label': '2519424.ju.72.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '72.dl1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279237
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [2284, -1, 6360, -1], 'generators': [231552291404880, 5013436529492301000, 72096988244520, 14721069668808913944, 14721990313951974961, 25987412715265560, 1344938082009143040, 231546064383360, 15693003991136193840, 72096988244523, 22181160], 'label': '2519424.ju.72.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.BG', 'old_label': '72.dm1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DQ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279238
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [2138, -1, 6312, -1], 'generators': [1344938082009143040, 5013436529492301000, 6723274419409817544, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 231552291404880, 25987412715265560, 72096988244523, 14721990313951974961], 'label': '2519424.ju.72.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '72.dn1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DR', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279239
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.C', 'coset_action_label': None, 'count': 6, 'diagramx': [215, -1, 848, -1], 'generators': [5013436529492301000, 28367527094610320184, 14721990313951973544, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 1561, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.12.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '12.e1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279240
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2519424.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [2503, -1, 6433, -1], 'generators': [5013436529492301000, 1344938082009143040, 72096988244520, 3086391866716083, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 15693003991136193840, 25987412715265560, 14721990313951974961], 'label': '2519424.ju.72.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.DS', 'old_label': '72.do1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DS', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279241
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2519424.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [2430, -1, 6409, -1], 'generators': [1344938082009143040, 5013436529492301000, 6723274419409817544, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 5016144741989453307, 231552291404880, 25987412715265560, 14721990313951974961], 'label': '2519424.ju.72.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.E', 'old_label': '72.dp1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DT', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279242
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1992, -1, 6263, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 25987412715265560, 14721990313951974961, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.72.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '72.dq1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DU', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279243
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [804, -1, 5869, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 25987412715265560, 72096988244523, 14721990313951974961, 1346674637164953600], 'label': '2519424.ju.72.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '72.dr1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DV', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279244
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [446, -1, 5750, -1], 'generators': [14728392687657702960, 1344938082009143040, 27438943780206843, 15694447664650543200, 5015991775107047040, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 27475552387992240], 'label': '2519424.ju.72.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.BG', 'old_label': '72.ds1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279245
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [199, -1, 5668, -1], 'generators': [231552291404880, 2011386007901544, 72096988244520, 14727325581047925624, 231546064383360, 2932030193304960, 1590000264636679440, 1346674637164953600, 14727288972407840787, 14728392687657702960, 22181160], 'label': '2519424.ju.72.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '72.dt1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DX', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279246
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [3038, -1, 6610, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 14719435067706566664, 72096988244520, 25987412715265560, 1344938082009143040, 231546064383360, 26037156694723203, 6723274419409817544, 22181160], 'label': '2519424.ju.72.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '72.du1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279247
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.DZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 36, 'diagramx': [3198, -1, 6663, -1], 'generators': [4990535497683612747, 1344938082009143040, 5013436529492301000, 6723274419409817544, 4990316984825096904, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 231552291404880, 14721990313951974961], 'label': '2519424.ju.72.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '72.dv1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.DZ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279248
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7242, -1, 8005, -1], 'generators': [14728392687657702960, 5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 2932030193304960, 26197956529971120, 26037156694723203, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.72.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '72.dw1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279249
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1350, -1, 6050, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 14728392687657702960, 22181160], 'label': '2519424.ju.72.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '36.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '72.dx1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279250
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 6, 'diagramx': [360, -1, 896, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 14721990313951974961, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 14728392687657702960, 22181160], 'label': '2519424.ju.12.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '12.f1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.F', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279251
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5272, -1, 7351, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 22181160], 'label': '2519424.ju.72.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '72.dy1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279252
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.ED', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 12, 'diagramx': [5491, -1, 7424, -1], 'generators': [14728392687657702960, 5013436529492301000, 6692816396923348323, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 1346674637164953600], 'label': '2519424.ju.72.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.M', 'old_label': '72.dz1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.ED', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279253
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4317, -1, 7035, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 2932030193304960, 26197956529971120, 25987412715265560, 26037156694723203, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.72.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '72.ea1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279254
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 12, 'diagramx': [4646, -1, 7144, -1], 'generators': [5013436529492301000, 6723274419409817544, 72096988244520, 231546064383360, 22181160, 231552291404880, 2932030193304960, 26197956529971120, 25987412715265560, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.L', 'old_label': '72.eb1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EF', 'subgroup_fusion': None, 'weyl_group': '23328.id'}
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id: 173279255
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8075, -1, 8281, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.72.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '36.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '72.ec1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279256
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2519424.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [4729, -1, 7171, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 2932030193304960, 26197956529971120, 25987412715265560, 14727288972407840787, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.72.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.D', 'old_label': '72.ed1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279257
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2519424.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4811, -1, 7198, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 25987412715265560, 231546064383360, 2932030193304960, 1590000264636679440, 1346674637164953600, 14727288972407840787, 22181160], 'label': '2519424.ju.72.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.R', 'old_label': '72.ee1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EI', 'subgroup_fusion': None, 'weyl_group': '11664.ja'}
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id: 173279258
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4153, -1, 6980, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.72.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '72.ef1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279259
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 12, 'diagramx': [4564, -1, 7117, -1], 'generators': [5013436529492301000, 6692816396923348323, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 25987412715265560, 1346674637164953600], 'label': '2519424.ju.72.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.M', 'old_label': '72.eg1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EK', 'subgroup_fusion': None, 'weyl_group': '23328.id'}
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id: 173279260
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6863, -1, 7879, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 2932030193304960, 26197956529971120, 26037156694723203, 14721990313951974961, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.72.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '72.eh1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279261
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 2, 'diagramx': [288, -1, 872, -1], 'generators': [5013436529492301000, 14721990313951973544, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 1561, 26037156694723203, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.12.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '12.g1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.G', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279262
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2519424.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [7009, -1, 7928, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 2932030193304960, 26197956529971120, 14727288972407840787, 14721990313951974961, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.72.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.E', 'old_label': '72.ei1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279263
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6790, -1, 7855, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 14721990313951974961, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.72.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '72.ej1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279264
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6147, -1, 7642, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 14721990313951974961, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.72.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '72.ek1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279265
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2874, -1, 6556, -1], 'generators': [1344938082009143040, 5013436529492301000, 6723274419409817544, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 5013436531251952344, 231552291404880, 26197956529971120, 26037156694723203], 'label': '2519424.ju.72.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '72.el1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279266
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '216.A', 'coset_action_label': None, 'count': 2, 'diagramx': [8201, -1, 8323, -1], 'generators': [5013436529492301000, 14721990313951973544, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.72.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '72.em1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279267
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.ER', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '216.A', 'coset_action_label': None, 'count': 4, 'diagramx': [8274, -1, 8347, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 6692816396923348323, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.72.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '72.en1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.ER', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279268
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.ES', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '216.A', 'coset_action_label': None, 'count': 2, 'diagramx': [3563, -1, 6784, -1], 'generators': [5013436529492301000, 14721990313951973544, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 9069933219599631124, 1346674637164953600], 'label': '2519424.ju.72.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '72.eo1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.ES', 'subgroup_fusion': None, 'weyl_group': '419904.b'}
-
id: 173279269
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.ET', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '216.A', 'coset_action_label': None, 'count': 2, 'diagramx': [3636, -1, 6808, -1], 'generators': [5013436529492301000, 14721990313951973544, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 32577656728471193068, 1346674637164953600], 'label': '2519424.ju.72.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '72.ep1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.ET', 'subgroup_fusion': None, 'weyl_group': '419904.a'}
-
id: 173279270
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4075, -1, 6954, -1], 'generators': [5013436529492301000, 39378688061188503722, 72096988245241, 231546064383360, 22181160, 2932030193304960, 14721069668808913944, 26205796861097040, 26037156694723203, 14728545654938902824, 1346674637164953600], 'label': '2519424.ju.72.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '72.eq1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279271
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2572, -1, 6455, -1], 'generators': [5013436529492301000, 25626056133466984562, 14721069668808913944, 72096988245241, 231546064383360, 26205796861097040, 26037156694723203, 2932030193304960, 1346674637164953600, 14728545654938902824, 22181160], 'label': '2519424.ju.72.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '72.er1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279272
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 2, 'diagramx': [1541, -1, 1288, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 42895967177478700227, 1561, 22181160], 'label': '2519424.ju.12.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '12.h1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.H', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279273
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3846, -1, 6878, -1], 'generators': [5013436529492301000, 14721069668808913944, 231546064383360, 14721953661700208161, 26205796861097040, 26037156694723203, 39378688061188503722, 2932030193304960, 1346674637164953600, 14728545654938902824, 22181160], 'label': '2519424.ju.72.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '72.es1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279274
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4002, -1, 6930, -1], 'generators': [5013436529492301000, 14721069668808913944, 14721990313951974961, 231546064383360, 26205796861097040, 26037156694723203, 39378688061188503722, 2932030193304960, 1346674637164953600, 14728545654938902824, 22181160], 'label': '2519424.ju.72.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '72.et1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EX', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279275
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2635, -1, 6477, -1], 'generators': [5013436529492301000, 25626056133466984562, 14721069668808913944, 14721990313951974961, 231546064383360, 26205796861097040, 26037156694723203, 2932030193304960, 1346674637164953600, 14728545654938902824, 22181160], 'label': '2519424.ju.72.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '72.eu1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279276
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.EZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5710, -1, 7497, -1], 'generators': [5013436529492301000, 25626056133466984562, 14721069668808913944, 231546064383360, 14721953661700208161, 26205796861097040, 26037156694723203, 2932030193304960, 1346674637164953600, 14728545654938902824, 22181160], 'label': '2519424.ju.72.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '72.ev1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.EZ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279277
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [5013436529492301000, 14721947160697830960, 25626056133466984562, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 25987412715265560, 26205796861097040, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.H', 'old_label': '72.ewB', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279278
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [5013436529492301000, 35095145921288787842, 14722143281233176240, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 14728349533431363144, 26197955038488960, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '72.ewC', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279279
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7772, -1, 8181, -1], 'generators': [5013436529492301000, 25626056133466983843, 14721947160697830960, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 25987412715265560, 26205796861097040, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.H', 'old_label': '72.ex1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279280
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1846, -1, 6215, -1], 'generators': [5013436529492301000, 14722143281233176240, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 14728349533431363144, 26197955038488960, 26037156694723203, 25638860793540129362, 1346674637164953600], 'label': '2519424.ju.72.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '72.ey1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279281
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 36, 'diagramx': [7402, -1, 8058, -1], 'generators': [5013436529492301000, 39378688061188503722, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 25987412715265560, 26205796861097040, 26037156694723203, 14721947160697829545, 1346674637164953600], 'label': '2519424.ju.72.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.H', 'old_label': '72.ez1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279282
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 36, 'diagramx': [9593, -1, 8785, -1], 'generators': [5013436529492301000, 25626056133466984562, 231546064383360, 22181160, 14722143281233174825, 2932030193304960, 14721069668808913944, 25987412715265560, 26205796861097040, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.H', 'old_label': '72.fa1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279283
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 2, 'diagramx': [739, -1, 1022, -1], 'generators': [5013436529492301000, 14721990313951973544, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 1561, 26037156694723203, 9069933219599631124, 1346674637164953600], 'label': '2519424.ju.12.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '12.i1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279284
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 36, 'diagramx': [6644, -1, 7806, -1], 'generators': [5013436529492301000, 4987513279999360200, 20010062269957174080, 14721953661700205904, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26197956529971120, 14721947160697829545, 1346674637164953600], 'label': '2519424.ju.72.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.CD', 'old_label': '72.fb1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FG', 'subgroup_fusion': None, 'weyl_group': '69984.a'}
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id: 173279285
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 36, 'diagramx': [6717, -1, 7831, -1], 'generators': [26197956529971841, 2932030193304960, 26205796861097040, 5013436529492301000, 1346674637164953600, 22181160, 14721947160697830960, 14721069668808913944, 28367527094610320184, 231546064383360, 1498740600], 'label': '2519424.ju.72.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.CE', 'old_label': '72.fc1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FH', 'subgroup_fusion': None, 'weyl_group': '69984.j'}
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id: 173279286
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [14728545653495366907, 5013436529492301000, 4987513279999360200, 14721953661700205904, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26197956529971120, 14721947160697829545, 1346674637164953600], 'label': '2519424.ju.72.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.C', 'old_label': '72.fdB', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FI', 'subgroup_fusion': None, 'weyl_group': '839808.ju'}
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id: 173279287
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [5013436529492301000, 14721947160697830960, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26205796861097040, 26197956529971841, 26037156694723203, 1498740600, 1346674637164953600], 'label': '2519424.ju.72.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.A', 'old_label': '72.fdC', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FJ', 'subgroup_fusion': None, 'weyl_group': '839808.jw'}
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id: 173279288
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 36, 'diagramx': [6571, -1, 7782, -1], 'generators': [2932030193304960, 26197956529971120, 5013436529492301000, 1346674637164953600, 22181160, 4987513279999360200, 19971403821614585760, 14721953661700205904, 14721069668808913944, 2696935103847991682, 231546064383360], 'label': '2519424.ju.72.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.CD', 'old_label': '72.fe1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FK', 'subgroup_fusion': None, 'weyl_group': '69984.a'}
-
id: 173279289
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3778, -1, 6856, -1], 'generators': [5013436529492301000, 14721947160697830960, 25626056133466984562, 231546064383360, 22181160, 2932030193304960, 14721069668808913944, 26205796861097040, 26037156694723203, 1498740600, 1346674637164953600], 'label': '2519424.ju.72.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '72.ff1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279290
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 36, 'diagramx': [9010, -1, 8591, -1], 'generators': [2932030193304960, 26205796861097040, 5013436529492301000, 1346674637164953600, 25626056133466984562, 22181160, 14721947160697830960, 14721069668808913944, 28367527094610320184, 231546064383360, 1498740600], 'label': '2519424.ju.72.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.CE', 'old_label': '72.fg1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FM', 'subgroup_fusion': None, 'weyl_group': '69984.j'}
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id: 173279291
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 72, 'diagramx': [9083, -1, 8616, -1], 'generators': [5013436529492301000, 14721947160697830960, 25626056133466984562, 231546064383360, 22181160, 2932030193304960, 14721069668808913944, 26205796861097040, 32577656728471193068, 1498740600, 1346674637164953600], 'label': '2519424.ju.72.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.FN', 'old_label': '72.fh1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FN', 'subgroup_fusion': None, 'weyl_group': '34992.r'}
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id: 173279292
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 3, 'diagramx': [983, -1, 5929, -1], 'generators': [5013436529492301000, 35127514610723329442, 14722143281233176240, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 14728349533431363144, 25987412715265560, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.C', 'old_label': '72.fi1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FO', 'subgroup_fusion': None, 'weyl_group': '839808.ju'}
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id: 173279293
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7943, -1, 8237, -1], 'generators': [25638860793540128643, 5013436529492301000, 14721947160697830960, 231546064383360, 22181160, 2932030193304960, 14721069668808913944, 26205796861097040, 26037156694723203, 1498740600, 1346674637164953600], 'label': '2519424.ju.72.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '72.fj1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FP', 'subgroup_fusion': None, 'weyl_group': '46656.bp'}
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id: 173279294
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 2, 'diagramx': [666, -1, 998, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 32532852243692727627, 14721069668808913944, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.12.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '12.j1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279364
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '839808.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 847, -1, 9825], 'generators': [3], 'label': '2519424.ju.839808.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '839808.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '839808.a1.N', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '839808.A', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 173279295
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [5054, -1, 7279, -1], 'generators': [5013436529492301000, 25626056133466983843, 14722143281233176240, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 14728349533431363144, 25987412715265560, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '72.fk1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FQ', 'subgroup_fusion': None, 'weyl_group': '93312.v'}
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id: 173279296
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 3, 'diagramx': [7621, -1, 8131, -1], 'generators': [25638860793540128643, 5013436529492301000, 14722143281233176240, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 14728349533431363144, 25987412715265560, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.C', 'old_label': '72.fl1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FR', 'subgroup_fusion': None, 'weyl_group': '279936.a'}
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id: 173279297
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [6082, -1, 7620, -1], 'generators': [5013436529492301000, 14722143281233176240, 25626056133466984562, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 14728349533431363144, 25987412715265560, 26037156694723203, 1346674637164953600], 'label': '2519424.ju.72.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '72.fm1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FS', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279298
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1224, -1, 6008, -1], 'generators': [14728356034455552720, 5013436529492301000, 36103377022669600560, 14721947160697830960, 231546064383360, 22181160, 231553786515120, 14721069668808913944, 2932030193304960, 21233293559420424000, 1346674637164953600], 'label': '2519424.ju.72.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.U', 'old_label': '72.fn1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FT', 'subgroup_fusion': None, 'weyl_group': '69984.a'}
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id: 173279299
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1287, -1, 6030, -1], 'generators': [5013436529492301000, 26197956529971120, 27637806893826015628, 14721069668808913944, 14721953661700205904, 231546064383360, 2932030193304960, 4987513279999360200, 1346674637164953600, 2696935103847992403, 22181160], 'label': '2519424.ju.72.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.BB', 'old_label': '72.fo1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FU', 'subgroup_fusion': None, 'weyl_group': '34992.m'}
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id: 173279300
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '72.FV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 12, 'diagramx': [683, -1, 5829, -1], 'generators': [2932030193304960, 26205796861097040, 5013436529492301000, 1346674637164953600, 22181160, 14721947160697830960, 14721069668808913944, 28367527094610320184, 231546064383360, 25638860793660231840, 1498740600], 'label': '2519424.ju.72.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.V', 'old_label': '72.fp1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.FV', 'subgroup_fusion': None, 'weyl_group': '69984.j'}
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id: 173279301
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '81.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 81, 'diagramx': [39, -1, 8933, -1], 'generators': [26197956519040080, 2011386007901544, 2011383969240960, 26037156683831763, 25626056133466984562, 231546064383360, 72096969732480, 231552291404880, 2932030193304960, 25987412715265560, 1561, 1346674637164953600], 'label': '2519424.ju.81.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '81.a1', 'old_label': '81.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.a1', 'subgroup_fusion': None, 'weyl_group': '15552.cb'}
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id: 173279302
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2497, -1, 9773, -1], 'generators': [5013436529492301000, 42895967177478700227, 72096988245241, 231546064383360, 22181160, 14925003, 231552291404880, 14721069668808913944, 2932030193304960, 1346674637164953600], 'label': '2519424.ju.96.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.J', 'old_label': '96.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279303
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 24, 'diagramx': [92, -1, 8975, -1], 'generators': [5013436529492301000, 72096988245241, 231546064383360, 26037104882670840, 22181160, 14925003, 2932030193304960, 14721069668808913944, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.96.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.J', 'old_label': '96.b1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279304
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 48, 'diagramx': [2040, -1, 9622, -1], 'generators': [5013436529492301000, 26037104882670840, 231546064383360, 22181160, 14925003, 2932030193304960, 14721069668808913944, 26037106344710041, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.96.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.J', 'old_label': '96.c1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279305
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [593, -1, 973, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 14728392687657702960, 1561, 22181160], 'label': '2519424.ju.12.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '12.k1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.K', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279306
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 24, 'diagramx': [736, -1, 9189, -1], 'generators': [2932030193304960, 15695159037580200960, 14728545654938902824, 14722143281233174825, 5013436529492301000, 1346674637164953600, 22181160, 14721069668808913944, 14925003, 231546064383360], 'label': '2519424.ju.96.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.J', 'old_label': '96.d1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279307
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2781, -1, 9867, -1], 'generators': [5013436529492301000, 42895967177478700227, 231546064383360, 22181160, 14925003, 231552291404880, 14721069668808913944, 2932030193304960, 1561, 1346674637164953600], 'label': '2519424.ju.96.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.J', 'old_label': '96.e1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279308
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1981, -1, 9602, -1], 'generators': [5013436529492301000, 25987414206747720, 72096988245241, 231546064383360, 22181160, 2932030193304960, 14721069668808913944, 25987414195814403, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.96.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.J', 'old_label': '96.f1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279309
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1921, -1, 9582, -1], 'generators': [5013436529492301000, 25987414206747720, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 25987414195814403, 15695159037580200960, 14728545654938902824, 1346674637164953600], 'label': '2519424.ju.96.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.J', 'old_label': '96.g1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279310
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 24, 'diagramx': [151, -1, 8995, -1], 'generators': [5013436529492301000, 25987414206747720, 26037104882670840, 231546064383360, 22181160, 2932030193304960, 14721069668808913944, 25987414195814403, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.96.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.J', 'old_label': '96.h1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.H', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279311
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 24, 'diagramx': [672, -1, 9168, -1], 'generators': [25987414195814403, 2932030193304960, 15695159037580200960, 14722143281233174825, 5013436529492301000, 25987414206747720, 1346674637164953600, 22181160, 14721069668808913944, 231546064383360], 'label': '2519424.ju.96.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.J', 'old_label': '96.i1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279312
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 16, 'diagramx': [804, -1, 9212, -1], 'generators': [1344938082009143040, 6723274419409817544, 43267438329480298323, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 231552291404880, 72096988244523, 5015071130678472960], 'label': '2519424.ju.96.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.A', 'old_label': '96.j1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279313
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 16, 'diagramx': [3143, -1, 9988, -1], 'generators': [1344938082009143040, 43267438329480298323, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 231552291404880, 72096988244523, 15695159037580200960, 5015071130678472960], 'label': '2519424.ju.96.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.A', 'old_label': '96.k1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.K', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279314
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 8, 'diagramx': [2979, -1, 9933, -1], 'generators': [1344938082009143040, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 231552291404880, 72096988244523, 15695159037580200960, 5015071130678472960, 32532852243692727627], 'label': '2519424.ju.96.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '96.l1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.L', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279315
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 16, 'diagramx': [2298, -1, 9707, -1], 'generators': [1344938082009143040, 43267438329480298323, 72096988244520, 1590000264636679440, 14719435067706566664, 231546064383360, 22181160, 231552291404880, 72096988244523, 5015071130678472960], 'label': '2519424.ju.96.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.A', 'old_label': '96.m1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.M', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279316
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [919, -1, 1082, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.12.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '12.l1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.L', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279317
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 16, 'diagramx': [2371, -1, 9731, -1], 'generators': [1344938082009143040, 72096988244520, 1590000264636679440, 14719435067706566664, 231546064383360, 22181160, 231552291404880, 72096988244523, 5015071130678472960, 32532852243692727627], 'label': '2519424.ju.96.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.A', 'old_label': '96.n1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.N', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279318
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [2721, -1, 9847, -1], 'generators': [5013436529492301000, 25987414206747720, 14721990313951973544, 231546064383360, 22181160, 14925003, 14721069668808913944, 2932030193304960, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.96.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '96.o1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.O', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279319
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 2, 'diagramx': [3062, -1, 9960, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 72096988244523, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.96.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '96.p1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.P', 'subgroup_fusion': None, 'weyl_group': '15552.lh'}
-
id: 173279320
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1013, -1, 9281, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 72096988244523, 9069933219599631124, 1346674637164953600], 'label': '2519424.ju.96.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '96.q1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279321
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1086, -1, 9305, -1], 'generators': [231552291404880, 5013436529492301000, 72096988244520, 32532852243692727627, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 72096988244523, 22181160], 'label': '2519424.ju.96.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '96.r1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.R', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279322
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2519424.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [1709, -1, 9512, -1], 'generators': [1344938082009143040, 72096988244520, 1590000264636679440, 14719435067706566664, 231546064383360, 22181160, 5016144741989453307, 231552291404880, 5015071130678472960, 32532852243692727627], 'label': '2519424.ju.96.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.A', 'old_label': '96.s1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.S', 'subgroup_fusion': None, 'weyl_group': '8748.mj'}
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id: 173279323
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2519424.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [1783, -1, 9536, -1], 'generators': [1344938082009143040, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 5016144741989453307, 231552291404880, 15695159037580200960, 5015071130678472960, 32532852243692727627], 'label': '2519424.ju.96.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.A', 'old_label': '96.t1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.T', 'subgroup_fusion': None, 'weyl_group': '8748.mj'}
-
id: 173279324
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2519424.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [1232, -1, 9353, -1], 'generators': [1344938082009143040, 43267438329480298323, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 5016144741989453307, 231552291404880, 15695159037580200960, 5015071130678472960], 'label': '2519424.ju.96.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.B', 'old_label': '96.u1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279325
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2519424.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [1855, -1, 9560, -1], 'generators': [1344938082009143040, 6723274419409817544, 72096988244520, 14719435067706566664, 231546064383360, 22181160, 5016144741989453307, 231552291404880, 5015071130678472960, 32532852243692727627], 'label': '2519424.ju.96.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.A', 'old_label': '96.v1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.V', 'subgroup_fusion': None, 'weyl_group': '8748.mj'}
-
id: 173279326
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2519424.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [1637, -1, 9488, -1], 'generators': [1344938082009143040, 43267438329480298323, 72096988244520, 1590000264636679440, 14719435067706566664, 231546064383360, 22181160, 5016144741989453307, 231552291404880, 5015071130678472960], 'label': '2519424.ju.96.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.A', 'old_label': '96.w1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.W', 'subgroup_fusion': None, 'weyl_group': '8748.mj'}
-
id: 173279327
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '2.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.C', 'coset_action_label': None, 'count': 1, 'diagramx': [55, 1872, 51, 612], 'generators': [14721990313951973544, 231552291404880, 26197956529971120, 5013436529492301000, 15695159037580200960, 72096988244520, 32532852243692727627, 14721069668808913944, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 2696935103847992403, 1346674637164953600, 22181160], 'label': '2519424.ju.2.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.C', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
-
id: 173279328
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.A', 'coset_action_label': None, 'count': 2, 'diagramx': [823, -1, 1050, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.12.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '12.m1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279329
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1471, -1, 9433, -1], 'generators': [5013436529492301000, 25987414206747720, 14721990313951973544, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 32211332583665049628, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.96.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.C', 'old_label': '96.x1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.X', 'subgroup_fusion': None, 'weyl_group': '17496.lv'}
-
id: 173279330
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1378, -1, 9402, -1], 'generators': [231552291404880, 2932030193304960, 15695159037580200960, 5013436529492301000, 1346674637164953600, 22181160, 72096988244520, 14721069668808913944, 231546064383360, 32577656728471193068], 'label': '2519424.ju.96.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.C', 'old_label': '96.y1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.Y', 'subgroup_fusion': None, 'weyl_group': '17496.lv'}
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id: 173279331
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1159, -1, 9329, -1], 'generators': [231552291404880, 2932030193304960, 15695159037580200960, 5013436529492301000, 1346674637164953600, 22181160, 72096988244520, 14721069668808913944, 28367527094610320184, 231546064383360], 'label': '2519424.ju.96.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '96.z1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.Z', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279332
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1304, -1, 9378, -1], 'generators': [231552291404880, 2932030193304960, 5013436529492301000, 1346674637164953600, 22181160, 72096988244520, 14721069668808913944, 15695159037576571444, 231546064383360, 32577656728471193068], 'label': '2519424.ju.96.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.C', 'old_label': '96.ba1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BA', 'subgroup_fusion': None, 'weyl_group': '17496.lv'}
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id: 173279333
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1563, -1, 9463, -1], 'generators': [231552291404880, 2932030193304960, 5013436529492301000, 1346674637164953600, 22181160, 72096988244520, 14721069668808913944, 28367527094610320184, 231546064383360, 16425488615051629443], 'label': '2519424.ju.96.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.C', 'old_label': '96.bb1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BB', 'subgroup_fusion': None, 'weyl_group': '17496.lv'}
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id: 173279334
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 48, 'diagramx': [32, -1, 8955, -1], 'generators': [5013436529492301000, 72096988245241, 231546064383360, 22181160, 2932030193304960, 14721069668808913944, 15695159037580200960, 21312110025595510104, 14728545654938902824, 1346674637164953600], 'label': '2519424.ju.96.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.BL', 'old_label': '96.bc1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BC', 'subgroup_fusion': None, 'weyl_group': '52488.bi'}
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id: 173279335
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2906, -1, 9909, -1], 'generators': [2932030193304960, 15695159037580200960, 14722143281233174825, 5013436529492301000, 1346674637164953600, 26037104882670840, 22181160, 14721069668808913944, 14925003, 231546064383360], 'label': '2519424.ju.96.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.J', 'old_label': '96.bd1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279336
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 96, 'diagramx': [2438, -1, 9753, -1], 'generators': [6723274419409817544, 2932030207865520, 5015991775230476667, 72096988245241, 22478971617288083763, 14721069668805286560, 1346674637172217800, 5013436529477376000, 231546079307520, 14728545654938902824], 'label': '2519424.ju.96.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '96.BE', 'old_label': '96.be1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279337
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 8, 'diagramx': [2842, -1, 9888, -1], 'generators': [5013436529492301000, 72096988245241, 231546064383360, 22181160, 14925003, 2932030193304960, 14721069668808913944, 15695159037580200960, 14728545654938902824, 1346674637164953600], 'label': '2519424.ju.96.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '96.bf1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279338
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 16, 'diagramx': [2166, -1, 9663, -1], 'generators': [2932030193304960, 14728545654938902824, 5013436529492301000, 1346674637164953600, 72096988245241, 22181160, 14721069668808913944, 9069933219599631124, 14925003, 231546064383360], 'label': '2519424.ju.96.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '96.bg1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BG', 'subgroup_fusion': None, 'weyl_group': '157464.pm'}
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id: 173279339
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '108.A', 'coset_action_label': None, 'count': 4, 'diagramx': [1468, -1, 1264, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 32577656728471193068, 22181160], 'label': '2519424.ju.12.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '12.n1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279340
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 16, 'diagramx': [2103, -1, 9642, -1], 'generators': [5013436529492301000, 72096988245241, 231546064383360, 22181160, 14925003, 2932030193304960, 14721069668808913944, 14728545654938902824, 1346674637164953600, 32532852243692727627], 'label': '2519424.ju.96.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '96.bh1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BH', 'subgroup_fusion': None, 'weyl_group': '157464.pm'}
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id: 173279341
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 12, 'diagramx': [276, -1, 9036, -1], 'generators': [2932030193304960, 14728545653495366907, 26197956529971120, 5013436529492301000, 1346674637164953600, 22181160, 14721953661700205904, 14721069668808913944, 9069933219599631124, 231546064383360], 'label': '2519424.ju.96.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.U', 'old_label': '96.bi1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BI', 'subgroup_fusion': None, 'weyl_group': '13500.h'}
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id: 173279342
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 12, 'diagramx': [363, -1, 9065, -1], 'generators': [5013436529492301000, 14721947160697830960, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26205796861097040, 26037156694723203, 32532852243692727627, 1346674637164953600], 'label': '2519424.ju.96.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.V', 'old_label': '96.bj1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BJ', 'subgroup_fusion': None, 'weyl_group': '69984.j'}
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id: 173279343
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 96, 'diagramx': [597, -1, 9143, -1], 'generators': [5013436529492301000, 14721069668794359144, 3311369516477731802, 42287912987388934347, 14721069668794359147, 16425491230400324400, 1346674637172217800, 2932030193304960, 231546079307520, 14728545654938902824], 'label': '2519424.ju.96.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '96.BK', 'old_label': '96.bk1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BK', 'subgroup_fusion': None, 'weyl_group': '26244.jy'}
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id: 173279344
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 48, 'diagramx': [2229, -1, 9684, -1], 'generators': [2932030193304960, 14728545654938902824, 5013436529492301000, 1346674637164953600, 22181160, 14721069668808913944, 2696935103847991682, 9069933219599631124, 14925003, 231546064383360], 'label': '2519424.ju.96.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.BO', 'old_label': '96.bl1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BL', 'subgroup_fusion': None, 'weyl_group': '52488.jh'}
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id: 173279345
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 48, 'diagramx': [2568, -1, 9797, -1], 'generators': [2932030193304960, 14728545654938902824, 16425491230400324400, 5013436529492301000, 1346674637164953600, 22181160, 8454726044035908744, 14721069668808913944, 2696935103847991682, 231546064383360], 'label': '2519424.ju.96.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.BL', 'old_label': '96.bm1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BM', 'subgroup_fusion': None, 'weyl_group': '52488.bi'}
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id: 173279346
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 96, 'diagramx': [2650, -1, 9824, -1], 'generators': [2932030193304960, 14728545654938902824, 16425491230418876644, 5013436529492301000, 1346674637164953600, 22181160, 14721069668808913944, 2696935103847991682, 43267522001947896508, 231546064383360], 'label': '2519424.ju.96.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '96.BN', 'old_label': '96.bn1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BN', 'subgroup_fusion': None, 'weyl_group': '4000.fc'}
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id: 173279347
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 16, 'diagramx': [206, -1, 9013, -1], 'generators': [2932030193304960, 14728545654938902824, 32532852243692727627, 5013436529492301000, 1346674637164953600, 22181160, 14721069668808913944, 39378688061188503722, 14925003, 231546064383360], 'label': '2519424.ju.96.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '96.bo1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BO', 'subgroup_fusion': None, 'weyl_group': '157464.pm'}
-
id: 173279348
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 48, 'diagramx': [945, -1, 9258, -1], 'generators': [5013436529492301000, 27637806893826015628, 14721069668808913944, 14925003, 231546064383360, 2932030193304960, 2696935103847992403, 1346674637164953600, 14728545654938902824, 22181160], 'label': '2519424.ju.96.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.BO', 'old_label': '96.bp1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BP', 'subgroup_fusion': None, 'weyl_group': '17496.bt'}
-
id: 173279349
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 16, 'diagramx': [878, -1, 9236, -1], 'generators': [25638860793540128643, 5013436529492301000, 231546064383360, 22181160, 14925003, 2932030193304960, 14721069668808913944, 14728545654938902824, 1346674637164953600, 32532852243692727627], 'label': '2519424.ju.96.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '96.bq1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BQ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279350
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id: 173279351
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 16, 'diagramx': [444, -1, 9092, -1], 'generators': [2696223727036965840, 2932030193304960, 14728545654938902824, 5013436529492301000, 15695161652928895920, 1346674637164953600, 22181160, 14721069668808913944, 28002596999180066064, 231546064383360], 'label': '2519424.ju.96.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '96.br1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BR', 'subgroup_fusion': None, 'weyl_group': '52488.bi'}
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id: 173279352
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '96.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 32, 'diagramx': [516, -1, 9116, -1], 'generators': [2932030193304960, 14728545654938902824, 15695161652943820084, 5013436529492301000, 1346674637164953600, 22181160, 2696935103847992403, 14721069668808913944, 28002596999180066064, 231546064383360], 'label': '2519424.ju.96.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.D', 'old_label': '96.bs1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.BS', 'subgroup_fusion': None, 'weyl_group': '2880.dt'}
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id: 173279353
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '108.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '839808.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '108.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1374, -1, 8515], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.108.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '108.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '108.a1.N', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.A', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279354
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '128.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1800762490598400, 19647529040522880868, 5629687288213378440, 182267544, 231546228098424, 4, 323367264, 5015948578332310944, 15937705061195501664], 'label': '2519424.ju.128.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '128.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279355
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '216.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '839808.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '216.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1374, -1, 8752], 'generators': [5013436529492301000, 14721990313951973544, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 1346674637164953600], 'label': '2519424.ju.216.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '216.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '216.a1.N', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.A', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279356
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '288.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2519424.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1211, -1, 8971], 'generators': [2932030193304960, 14728545654938902824, 5013436529492301000, 1346674637164953600, 72096988245241, 22181160, 14721069668808913944, 14925003, 231546064383360], 'label': '2519424.ju.288.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '288.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '288.a1.N', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.A', 'subgroup_fusion': None, 'weyl_group': '2519424.ju'}
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id: 173279357
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '576.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '839808.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1211, -1, 9170], 'generators': [2932030193304960, 14728545654938902824, 5013436529492301000, 1346674637164953600, 22181160, 14721069668808913944, 14925003, 231546064383360], 'label': '2519424.ju.576.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '576.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '576.a1.N', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576.A', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279358
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '729.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 729, 'diagramx': None, 'generators': [15950513729906745243, 2696935103808069842, 32530612204714747203, 1831484472172236720, 50339123280, 14725837441066753560, 1344876534135515520, 1800761010069024, 1561, 14727282471103513680], 'label': '2519424.ju.729.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '729.A', 'old_label': '729.a1.M', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '729.A', 'subgroup_fusion': None, 'weyl_group': '1728.47858'}
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id: 173279359
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '1152.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1152.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1067, -1, 9343], 'generators': [2932030193304960, 5013436529492301000, 1346674637164953600, 22181160, 14721069668808913944, 14925003, 231546064383360], 'label': '2519424.ju.1152.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1152.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1152.a1.N', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1152.A', 'subgroup_fusion': None, 'weyl_group': '1152.157517'}
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id: 173279360
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '1728.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '839808.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1211, -1, 9516], 'generators': [2932030193304960, 14728545654938902824, 5013436529492301000, 1346674637164953600, 22181160, 14721069668808913944, 231546064383360], 'label': '2519424.ju.1728.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1728.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1728.a1.N', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1728.A', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279361
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.C', 'coset_action_label': None, 'count': 2, 'diagramx': [1322, -1, 1215, -1], 'generators': [14721990313951973544, 231552291404880, 28367527094610320184, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 6692816396923348323, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.12.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '12.p1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.P', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279362
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '3456.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1152.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3456.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1009, -1, 9689], 'generators': [2932030193304960, 5013436529492301000, 1346674637164953600, 22181160, 14721069668808913944, 231546064383360], 'label': '2519424.ju.3456.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3456.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3456.a1.N', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3456.A', 'subgroup_fusion': None, 'weyl_group': '1152.157517'}
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id: 173279363
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '19683.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2519424.a1', 'coset_action_label': None, 'count': 6561, 'diagramx': None, 'generators': [6204278132671006080, 2867823835073400, 50357675520, 1344876490325382025, 38488008510769685784, 1347744351735907200], 'label': '2519424.ju.19683.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19683.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19683.a1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
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id: 173279366
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1702, -1, 1341, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 2696935103847991682, 9069933219599631124, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.12.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '12.q1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.Q', 'subgroup_fusion': None, 'weyl_group': '419904.ik'}
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id: 173279367
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.C', 'coset_action_label': None, 'count': 6, 'diagramx': [1103, -1, 1143, -1], 'generators': [14721990313951973544, 231552291404880, 28367527094610320184, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 2696935103847991682, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.12.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '12.r1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.R', 'subgroup_fusion': None, 'weyl_group': '419904.a'}
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id: 173279368
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 12, 'diagramx': [1013, -1, 1113, -1], 'generators': [5013436529492301000, 15695159037576571444, 14721990313951973544, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 32577656728471193068, 2696935103847991682, 1346674637164953600], 'label': '2519424.ju.12.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.J', 'old_label': '12.s1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.S', 'subgroup_fusion': None, 'weyl_group': '419904.a'}
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id: 173279369
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 2, 'diagramx': [441, -1, 923, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 25626056133466984562, 72096988244520, 32532852243692727627, 14721069668808913944, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.12.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '12.t1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.T', 'subgroup_fusion': None, 'weyl_group': '1259712.it'}
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id: 173279370
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1622, -1, 1315, -1], 'generators': [5013436529492301000, 26197956529971120, 14721947160697829545, 14721069668808913944, 2696935103847991682, 9069933219599631124, 14721953661700205904, 231546064383360, 2932030193304960, 14728545653495366907, 1346674637164953600, 4987513279999360200, 22181160], 'label': '2519424.ju.12.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.U', 'old_label': '12.u1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.U', 'subgroup_fusion': None, 'weyl_group': '209952.hc'}
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id: 173279371
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '12.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1181, -1, 1168, -1], 'generators': [5013436529492301000, 25626056133466984562, 32532852243692727627, 14721069668808913944, 14721947160697830960, 231546064383360, 1498740600, 26197956529971841, 26205796861097040, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.12.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.V', 'old_label': '12.v1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.V', 'subgroup_fusion': None, 'weyl_group': '209952.gr'}
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id: 173279372
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id: 173279373
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '16.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [251, -1, 1435, -1], 'generators': [231552291404880, 5013436529492301000, 15695159037580200960, 72096988244520, 32532852243692727627, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 72096988244523, 1561, 22181160], 'label': '2519424.ju.16.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '16.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279374
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '16.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [182, -1, 1412, -1], 'generators': [32531438636763590427, 14721990313951973544, 5013436529492301000, 15695159037580200960, 14721069668808913944, 14925003, 72096988245241, 231546064383360, 2932030193304960, 1346674637164953600, 25987414206747720, 22181160], 'label': '2519424.ju.16.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '16.b1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279375
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '16.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 8, 'diagramx': [41, -1, 1365, -1], 'generators': [231552291404880, 5013436529492301000, 15695159037580200960, 72096988244520, 32532852243692727627, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 72096988244523, 22181160], 'label': '2519424.ju.16.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '16.c1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279376
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '16.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 16, 'diagramx': [114, -1, 1390, -1], 'generators': [5013436529492301000, 14721069668808913944, 2696935103847991682, 16425491230400324400, 32167464487163802987, 14925003, 72096988245241, 231546064383360, 2932030193304960, 1346674637164953600, 14728545654938902824, 22181160], 'label': '2519424.ju.16.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '16.d1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.D', 'subgroup_fusion': None, 'weyl_group': '157464.pm'}
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id: 173279377
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '18.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '18.A', 'coset_action_label': None, 'count': 1, 'diagramx': [146, 1421, 1494, 5413], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.18.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '18.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.A', 'subgroup_fusion': None, 'weyl_group': '2519424.ju'}
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id: 173279378
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '18.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '18.B', 'coset_action_label': None, 'count': 1, 'diagramx': [625, 3003, 1653, 5705], 'generators': [14721990313951973544, 231552291404880, 28367527094610320184, 5013436529492301000, 26197956529971120, 25626056133427077144, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.18.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '18.b1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.B', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279379
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '18.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 9, 'diagramx': [372, -1, 1569, -1], 'generators': [231552291404880, 14728349533431363144, 5013436529492301000, 14721069668808913944, 14722143281233176240, 14721990313951974961, 39352723053170336042, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.18.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '18.c1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279380
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '18.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1315, -1, 1882, -1], 'generators': [231552291404880, 5013436529492301000, 14728349533431363144, 25626056133466984562, 14721069668808913944, 14722143281233176240, 14721990313951974961, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.18.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '18.d1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279381
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '18.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '108.A', 'coset_action_label': None, 'count': 6, 'diagramx': [778, -1, 1704, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.18.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '18.e1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279382
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '18.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.B', 'coset_action_label': None, 'count': 3, 'diagramx': [539, -1, 1624, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 20010062269957174080, 231546064383360, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.18.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '18.f1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.F', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279383
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '3.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6.E', 'coset_action_label': None, 'count': 3, 'diagramx': [226, -1, 203, -1], 'generators': [14721990313951973544, 231552291404880, 2696223727036965121, 28367527094610320184, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.3.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '3.b1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.B', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279384
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '18.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.C', 'coset_action_label': None, 'count': 3, 'diagramx': [452, -1, 1596, -1], 'generators': [14721990313951973544, 231552291404880, 28367527094610320184, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.18.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '18.g1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.G', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279385
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '18.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [211, -1, 1516, -1], 'generators': [231552291404880, 5013436529492301000, 14728349533431363144, 14721069668808913944, 14722143281233176240, 39352723053170336042, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.18.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '18.h1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.H', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279386
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '18.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1241, -1, 1858, -1], 'generators': [231552291404880, 5013436529492301000, 14728349533431363144, 25626056133466984562, 14721069668808913944, 14722143281233176240, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.18.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.C', 'old_label': '18.i1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279387
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '18.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 18, 'diagramx': [852, -1, 1728, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 14719435067706566664, 72096988244520, 25987412715265560, 1344938082009143040, 231546064383360, 26037156694723203, 5013436531251952344, 6723274419409817544, 1561, 22181160], 'label': '2519424.ju.18.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '18.j1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279388
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '18.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.B', 'coset_action_label': None, 'count': 9, 'diagramx': [292, -1, 1543, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 2696935103847991682, 25987412715265560, 20010062269957174080, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.18.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.k1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.K', 'subgroup_fusion': None, 'weyl_group': '279936.a'}
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id: 173279389
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '18.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.A', 'coset_action_label': None, 'count': 3, 'diagramx': [706, -1, 1680, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 25626056133466984562, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.18.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.C', 'old_label': '18.l1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.L', 'subgroup_fusion': None, 'weyl_group': '839808.ju'}
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id: 173279390
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '18.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.C', 'coset_action_label': None, 'count': 3, 'diagramx': [1095, -1, 1809, -1], 'generators': [14721990313951973544, 231552291404880, 28367527094610320184, 5013436529492301000, 26197956529971120, 25626056133466984562, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.18.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '18.m1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.M', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279391
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '18.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '108.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1168, -1, 1833, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 25626056133466984562, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 2932030193304960, 1346674637164953600, 32577656728471193068, 22181160], 'label': '2519424.ju.18.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.J', 'old_label': '18.n1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.N', 'subgroup_fusion': None, 'weyl_group': '419904.a'}
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id: 173279392
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '18.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.A', 'coset_action_label': None, 'count': 3, 'diagramx': [60, -1, 1466, -1], 'generators': [25626056133466983843, 14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.18.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.C', 'old_label': '18.o1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.O', 'subgroup_fusion': None, 'weyl_group': '279936.a'}
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id: 173279393
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '18.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.B', 'coset_action_label': None, 'count': 3, 'diagramx': [931, -1, 1755, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 25987412715265560, 20010062269957174080, 231546064383360, 2932030193304960, 1346674637164953600, 36103377022669600560, 22181160], 'label': '2519424.ju.18.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.C', 'old_label': '18.p1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.P', 'subgroup_fusion': None, 'weyl_group': '279936.a'}
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id: 173279394
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '3.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6.A', 'coset_action_label': None, 'count': 3, 'diagramx': [135, -1, 173, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 2696935103847991682, 9069933219599631124, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.3.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.C', 'old_label': '3.c1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.C', 'subgroup_fusion': None, 'weyl_group': '839808.ju'}
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id: 173279395
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '18.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '108.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1016, -1, 1783, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 9069933219599631124, 25987412715265560, 231546064383360, 2932030193304960, 2696935103847992403, 1346674637164953600, 22181160], 'label': '2519424.ju.18.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '18.q1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.Q', 'subgroup_fusion': None, 'weyl_group': '139968.a'}
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id: 173279396
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 1, 'diagramx': [128, 3443, 1935, 6367], 'generators': [5013436529492301000, 14721990313951973544, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 26037156694723203, 9069933219599631124, 1346674637164953600], 'label': '2519424.ju.24.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.A', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279397
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 1, 'diagramx': [46, 1671, 1908, 6040], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 72096988244520, 32532852243692727627, 14721069668808913944, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.24.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.B', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279398
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.C', 'coset_action_label': None, 'count': 1, 'diagramx': [1938, 4967, 2535, 6648], 'generators': [5013436529492301000, 28367527094610320184, 14721990313951973544, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.24.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.C', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279399
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 12, 'diagramx': [375, -1, 2017, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 25987412715265560, 72096988244523, 26197956529971841, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.24.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '24.d1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279400
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1728.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2185, -1, 2617, -1], 'generators': [231552291404880, 28367527094610320184, 5013436529492301000, 15695159037580200960, 72096988244520, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 1561, 22181160], 'label': '2519424.ju.24.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.E', 'old_label': '24.e1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279401
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1033, -1, 2235, -1], 'generators': [231552291404880, 5013436529492301000, 15695159037580200960, 72096988244520, 14721069668808913944, 14721990313951974961, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 72096988244523, 22181160], 'label': '2519424.ju.24.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '24.f1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.F', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279402
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1470, -1, 2380, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 25987464545868723, 14721069668808913944, 72096988245241, 231546064383360, 2932030193304960, 1346674637164953600, 42895967177478700227, 22181160], 'label': '2519424.ju.24.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '24.g1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.G', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279403
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [777, -1, 2150, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 25987464545868723, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 42895967177478700227, 1561, 22181160], 'label': '2519424.ju.24.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '24.h1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.H', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279404
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '839808.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1548, -1, 2406, -1], 'generators': [5015071130678472960, 231552291404880, 14719435067706566664, 15695159037580200960, 72096988244520, 32532852243692727627, 1344938082009143040, 231546064383360, 14728392687657702960, 72096988244523, 1561, 22181160], 'label': '2519424.ju.24.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.I', 'old_label': '24.i1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279405
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '4.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.A', 'coset_action_label': None, 'count': 1, 'diagramx': [52, 1815, 235, 2084], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 32532852243692727627, 14721069668808913944, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.4.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.A', 'subgroup_fusion': None, 'weyl_group': '839808.a'}
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id: 173279406
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 8, 'diagramx': [453, -1, 2043, -1], 'generators': [14721990313951973544, 26037104882670840, 5013436529492301000, 15695159037580200960, 14721069668808913944, 14925003, 72096988245241, 231546064383360, 2932030193304960, 1346674637164953600, 25987414206747720, 22181160], 'label': '2519424.ju.24.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '24.j1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279407
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 2, 'diagramx': [1325, -1, 2332, -1], 'generators': [231552291404880, 5013436529492301000, 15695159037580200960, 72096988244520, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 72096988244523, 1561, 22181160], 'label': '2519424.ju.24.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.k1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279408
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1179, -1, 2283, -1], 'generators': [231552291404880, 5013436529492301000, 72096988244520, 14721069668808913944, 9069933219599631124, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 72096988244523, 1561, 22181160], 'label': '2519424.ju.24.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '24.l1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279409
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1251, -1, 2307, -1], 'generators': [231552291404880, 5013436529492301000, 72096988244520, 32532852243692727627, 14721069668808913944, 231546064383360, 2932030193304960, 1346674637164953600, 14728392687657702960, 72096988244523, 1561, 22181160], 'label': '2519424.ju.24.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '24.m1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 173279410
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [210, -1, 1962, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 1561, 26037156694723203, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.24.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '24.n1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.N', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279411
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [613, -1, 2096, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 25987412715265560, 72096988244523, 1561, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.24.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '24.o1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.O', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279412
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1397, -1, 2356, -1], 'generators': [5013436529492301000, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 25987412715265560, 72096988244523, 14721990313951974961, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.24.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '24.p1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.P', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279413
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 6, 'diagramx': [293, -1, 1990, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 14728392687657702960, 22181160], 'label': '2519424.ju.24.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '24.q1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.Q', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279414
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [530, -1, 2068, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 25987412715265560, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.24.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '24.r1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.R', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279415
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1105, -1, 2259, -1], 'generators': [231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 14721069668808913944, 14721990313951974961, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.24.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '24.s1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.S', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279416
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '4.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.A', 'coset_action_label': None, 'count': 2, 'diagramx': [234, -1, 295, -1], 'generators': [14721990313951973544, 231552291404880, 5013436529492301000, 26197956529971120, 15695159037580200960, 72096988244520, 32532852243692727627, 14721069668808913944, 231546064383360, 26037156694723203, 2932030193304960, 1346674637164953600, 1561, 22181160], 'label': '2519424.ju.4.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.b1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279417
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 2, 'diagramx': [696, -1, 2123, -1], 'generators': [5013436529492301000, 14721990313951973544, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 26037156694723203, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.24.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.t1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.T', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279418
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '216.A', 'coset_action_label': None, 'count': 4, 'diagramx': [2115, -1, 2594, -1], 'generators': [5013436529492301000, 14721990313951973544, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 32577656728471193068, 15695159037580200960, 1346674637164953600], 'label': '2519424.ju.24.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '24.u1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.U', 'subgroup_fusion': None, 'weyl_group': None}
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id: 173279419
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 2, 'diagramx': [2055, -1, 2574, -1], 'generators': [5013436529492301000, 15695159037576571444, 14721990313951973544, 72096988244520, 231546064383360, 22181160, 231552291404880, 14721069668808913944, 2932030193304960, 26197956529971120, 32577656728471193068, 1346674637164953600], 'label': '2519424.ju.24.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '24.v1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.V', 'subgroup_fusion': None, 'weyl_group': '419904.a'}
-
id: 173279420
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.C', 'coset_action_label': None, 'count': 2, 'diagramx': [1997, -1, 2555, -1], 'generators': [14721990313951973544, 231552291404880, 28367527094610320184, 5013436529492301000, 26197956529971120, 72096988244520, 14721069668808913944, 6692816396923348323, 231546064383360, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.24.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '24.w1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.W', 'subgroup_fusion': None, 'weyl_group': '419904.b'}
-
id: 173279421
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1626, -1, 2432, -1], 'generators': [5013436529492301000, 26197956529971120, 14721947160697829545, 14721069668808913944, 9069933219599631124, 14721953661700205904, 231546064383360, 2932030193304960, 14728545653495366907, 1346674637164953600, 4987513279999360200, 22181160], 'label': '2519424.ju.24.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.U', 'old_label': '24.x1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.X', 'subgroup_fusion': None, 'weyl_group': '209952.hc'}
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id: 173279422
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1699, -1, 2456, -1], 'generators': [5013436529492301000, 32532852243692727627, 14721069668808913944, 14721947160697830960, 231546064383360, 1498740600, 26197956529971841, 26205796861097040, 26037156694723203, 2932030193304960, 1346674637164953600, 22181160], 'label': '2519424.ju.24.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.V', 'old_label': '24.y1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.Y', 'subgroup_fusion': None, 'weyl_group': '209952.gr'}
-
id: 173279423
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1772, -1, 2480, -1], 'generators': [5013436529492301000, 26197956529971120, 14721069668808913944, 2696935103847991682, 9069933219599631124, 14721953661700205904, 231546064383360, 2932030193304960, 14728545653495366907, 1346674637164953600, 4987513279999360200, 22181160], 'label': '2519424.ju.24.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.U', 'old_label': '24.z1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.Z', 'subgroup_fusion': None, 'weyl_group': '209952.hc'}
-
id: 173279424
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 12, 'diagramx': [870, -1, 2181, -1], 'generators': [5013436529492301000, 14721947160697830960, 25626056133466984562, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26205796861097040, 26037156694723203, 1498740600, 32532852243692727627, 1346674637164953600], 'label': '2519424.ju.24.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.V', 'old_label': '24.ba1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BA', 'subgroup_fusion': None, 'weyl_group': '209952.gr'}
-
id: 173279425
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1858, -1, 2509, -1], 'generators': [5013436529492301000, 26197956529971120, 27637806893826015628, 14721069668808913944, 14721953661700205904, 231546064383360, 2932030193304960, 14728545653495366907, 1346674637164953600, 2696935103847992403, 4987513279999360200, 22181160], 'label': '2519424.ju.24.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.U', 'old_label': '24.bb1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BB', 'subgroup_fusion': None, 'weyl_group': '69984.a'}
-
id: 173279426
{'ambient': '2519424.ju', 'aut_centralizer_order': None, 'aut_label': '24.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 12, 'diagramx': [958, -1, 2210, -1], 'generators': [25638860793540128643, 5013436529492301000, 14721947160697830960, 231546064383360, 22181160, 14721069668808913944, 2932030193304960, 26205796861097040, 26037156694723203, 1498740600, 32532852243692727627, 1346674637164953600], 'label': '2519424.ju.24.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.V', 'old_label': '24.bc1', 'projective_image': '2519424.ju', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BC', 'subgroup_fusion': None, 'weyl_group': '69984.j'}
