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{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '2304.cj', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 37056, 'aut_gen_orders': [32, 48, 192, 48, 32, 96], 'aut_gens': [[1, 24], [230233, 357672], [218065, 78456], [233089, 418008], [31417, 42792], [309625, 441768], [238513, 267000]], 'aut_group': None, 'aut_hash': 4084037751879108577, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 28459008, 'aut_permdeg': 6755, 'aut_perms': 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'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_3:(C_2\\times (C_4\\times C_8^2).C_2^2)', 'pc_rank': 2, 'perfect': False, 'permutation_degree': None, 'pgroup': 0, 'primary_abelian_invariants': [4, 64, 3, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': None, 'representations': {'PC': {'code': '4899140825828602599716877710229014833286989053932628686269362125902110253414414360952407738123459778213022817493801179314866621377778432048221658685686682255667794676797196040122856028665047763755403928559682892865372997398454959728253154656356953072075135', 'gens': [1, 5], 'pres': [11, -2, -2, -2, -3, -2, -2, -2, -2, -2, -3, -193, 22, 56, 90, 917172, 10772524, 8110755, 5385956, 2724682, 158, 25854053, 4791616, 5589171, 2870642, 192, 26086374, 11180417, 4481428, 2418147, 226, 20494855, 5989650, 460445, 635752, 260, 2090888, 13476691, 1035966, 1430393, 294, 4646409, 5491220, 2302111, 3178602, 438, 15333130, 18120981, 7596896, 3763627]}, 'GLFp': {'d': 2, 'p': 193, 'gens': [7189251, 395398321, 754851022]}}, 'schur_multiplier': [12], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [12, 192], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{18528}.C_{24}', 'transitive_degree': 37056, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
Hide schema
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id: 24647187
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 5, 'group_order': 444672, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
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id: 24648298
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 5, 'group_order': 444672, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 222336, 'size': 1}
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id: 24649409
{'aut_label': '2B', 'centralizer': '193.a1', 'counter': 3, 'group_counter': 5, 'group_order': 444672, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 277212, 'size': 193}
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id: 24649593
{'aut_label': '2B', 'centralizer': '193.a1', 'counter': 4, 'group_counter': 5, 'group_order': 444672, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 165468, 'size': 193}
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id: 24649704
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 5, 'group_order': 444672, 'label': '3A1', 'order': 3, 'powers': [6, 1, 5], 'representative': 148224, 'size': 1}
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id: 24649815
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 5, 'group_order': 444672, 'label': '3A-1', 'order': 3, 'powers': [5, 1, 6], 'representative': 296448, 'size': 1}
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id: 24649926
{'aut_label': '3B1', 'centralizer': '193.a1', 'counter': 7, 'group_counter': 5, 'group_order': 444672, 'label': '3B1', 'order': 3, 'powers': [8, 1, 7], 'representative': 256232, 'size': 193}
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id: 24650037
{'aut_label': '3B-1', 'centralizer': '193.a1', 'counter': 8, 'group_counter': 5, 'group_order': 444672, 'label': '3B-1', 'order': 3, 'powers': [7, 1, 8], 'representative': 229072, 'size': 193}
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id: 24650148
{'aut_label': '3B1', 'centralizer': '193.a1', 'counter': 9, 'group_counter': 5, 'group_order': 444672, 'label': '3C1', 'order': 3, 'powers': [10, 1, 9], 'representative': 206312, 'size': 193}
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id: 24647188
{'aut_label': '3B-1', 'centralizer': '193.a1', 'counter': 10, 'group_counter': 5, 'group_order': 444672, 'label': '3C-1', 'order': 3, 'powers': [9, 1, 10], 'representative': 272080, 'size': 193}
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id: 24647299
{'aut_label': '3B1', 'centralizer': '193.a1', 'counter': 11, 'group_counter': 5, 'group_order': 444672, 'label': '3D1', 'order': 3, 'powers': [12, 1, 11], 'representative': 8936, 'size': 193}
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id: 24647410
{'aut_label': '3B-1', 'centralizer': '193.a1', 'counter': 12, 'group_counter': 5, 'group_order': 444672, 'label': '3D-1', 'order': 3, 'powers': [11, 1, 12], 'representative': 250576, 'size': 193}
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id: 24647521
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 5, 'group_order': 444672, 'label': '4A1', 'order': 4, 'powers': [2, 14, 13], 'representative': 333504, 'size': 1}
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id: 24647632
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 14, 'group_counter': 5, 'group_order': 444672, 'label': '4A-1', 'order': 4, 'powers': [2, 13, 14], 'representative': 111168, 'size': 1}
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id: 24647743
{'aut_label': '4B1', 'centralizer': '193.a1', 'counter': 15, 'group_counter': 5, 'group_order': 444672, 'label': '4B1', 'order': 4, 'powers': [3, 16, 15], 'representative': 320622, 'size': 193}
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id: 24647854
{'aut_label': '4B-1', 'centralizer': '193.a1', 'counter': 16, 'group_counter': 5, 'group_order': 444672, 'label': '4B-1', 'order': 4, 'powers': [3, 15, 16], 'representative': 95562, 'size': 193}
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id: 24647965
{'aut_label': '4B1', 'centralizer': '193.a1', 'counter': 17, 'group_counter': 5, 'group_order': 444672, 'label': '4C1', 'order': 4, 'powers': [4, 18, 17], 'representative': 10158, 'size': 193}
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id: 24648076
{'aut_label': '4B-1', 'centralizer': '193.a1', 'counter': 18, 'group_counter': 5, 'group_order': 444672, 'label': '4C-1', 'order': 4, 'powers': [4, 17, 18], 'representative': 71946, 'size': 193}
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id: 24648187
{'aut_label': '4B1', 'centralizer': '193.a1', 'counter': 19, 'group_counter': 5, 'group_order': 444672, 'label': '4D1', 'order': 4, 'powers': [3, 20, 19], 'representative': 190446, 'size': 193}
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id: 24648299
{'aut_label': '4B-1', 'centralizer': '193.a1', 'counter': 20, 'group_counter': 5, 'group_order': 444672, 'label': '4D-1', 'order': 4, 'powers': [3, 19, 20], 'representative': 223434, 'size': 193}
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id: 24648410
{'aut_label': '4B1', 'centralizer': '193.a1', 'counter': 21, 'group_counter': 5, 'group_order': 444672, 'label': '4E1', 'order': 4, 'powers': [4, 22, 21], 'representative': 172590, 'size': 193}
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id: 24648521
{'aut_label': '4B-1', 'centralizer': '193.a1', 'counter': 22, 'group_counter': 5, 'group_order': 444672, 'label': '4E-1', 'order': 4, 'powers': [4, 21, 22], 'representative': 333450, 'size': 193}
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id: 24648632
{'aut_label': '4F1', 'centralizer': '193.a1', 'counter': 23, 'group_counter': 5, 'group_order': 444672, 'label': '4F1', 'order': 4, 'powers': [2, 24, 23], 'representative': 55452, 'size': 193}
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id: 24648743
{'aut_label': '4F1', 'centralizer': '193.a1', 'counter': 24, 'group_counter': 5, 'group_order': 444672, 'label': '4F-1', 'order': 4, 'powers': [2, 23, 24], 'representative': 277788, 'size': 193}
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id: 24648854
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 25, 'group_counter': 5, 'group_order': 444672, 'label': '6A1', 'order': 6, 'powers': [5, 2, 25], 'representative': 74112, 'size': 1}
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id: 24648965
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 26, 'group_counter': 5, 'group_order': 444672, 'label': '6A-1', 'order': 6, 'powers': [6, 2, 26], 'representative': 370560, 'size': 1}
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id: 24649076
{'aut_label': '6B1', 'centralizer': '193.a1', 'counter': 27, 'group_counter': 5, 'group_order': 444672, 'label': '6B1', 'order': 6, 'powers': [7, 3, 27], 'representative': 140788, 'size': 193}
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id: 24649187
{'aut_label': '6B-1', 'centralizer': '193.a1', 'counter': 28, 'group_counter': 5, 'group_order': 444672, 'label': '6B-1', 'order': 6, 'powers': [8, 3, 28], 'representative': 206276, 'size': 193}
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id: 24649298
{'aut_label': '6B-1', 'centralizer': '193.a1', 'counter': 29, 'group_counter': 5, 'group_order': 444672, 'label': '6C1', 'order': 6, 'powers': [8, 4, 29], 'representative': 230468, 'size': 193}
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id: 24649410
{'aut_label': '6B1', 'centralizer': '193.a1', 'counter': 30, 'group_counter': 5, 'group_order': 444672, 'label': '6C-1', 'order': 6, 'powers': [7, 4, 30], 'representative': 171892, 'size': 193}
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id: 24649494
{'aut_label': '6B1', 'centralizer': '193.a1', 'counter': 31, 'group_counter': 5, 'group_order': 444672, 'label': '6D1', 'order': 6, 'powers': [9, 3, 31], 'representative': 241396, 'size': 193}
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id: 24649505
{'aut_label': '6B-1', 'centralizer': '193.a1', 'counter': 32, 'group_counter': 5, 'group_order': 444672, 'label': '6D-1', 'order': 6, 'powers': [10, 3, 32], 'representative': 103364, 'size': 193}
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id: 24649516
{'aut_label': '6B1', 'centralizer': '193.a1', 'counter': 33, 'group_counter': 5, 'group_order': 444672, 'label': '6E1', 'order': 6, 'powers': [11, 3, 33], 'representative': 413428, 'size': 193}
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id: 24649527
{'aut_label': '6B-1', 'centralizer': '193.a1', 'counter': 34, 'group_counter': 5, 'group_order': 444672, 'label': '6E-1', 'order': 6, 'powers': [12, 3, 34], 'representative': 154820, 'size': 193}
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id: 24649538
{'aut_label': '6B1', 'centralizer': '193.a1', 'counter': 35, 'group_counter': 5, 'group_order': 444672, 'label': '6F1', 'order': 6, 'powers': [9, 4, 35], 'representative': 277108, 'size': 193}
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id: 24649549
{'aut_label': '6B-1', 'centralizer': '193.a1', 'counter': 36, 'group_counter': 5, 'group_order': 444672, 'label': '6F-1', 'order': 6, 'powers': [10, 4, 36], 'representative': 180548, 'size': 193}
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id: 24649560
{'aut_label': '6B-1', 'centralizer': '193.a1', 'counter': 37, 'group_counter': 5, 'group_order': 444672, 'label': '6G1', 'order': 6, 'powers': [12, 4, 37], 'representative': 45380, 'size': 193}
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id: 24649571
{'aut_label': '6B1', 'centralizer': '193.a1', 'counter': 38, 'group_counter': 5, 'group_order': 444672, 'label': '6G-1', 'order': 6, 'powers': [11, 4, 38], 'representative': 336244, 'size': 193}
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id: 24649582
{'aut_label': '6H1', 'centralizer': '193.a1', 'counter': 39, 'group_counter': 5, 'group_order': 444672, 'label': '6H1', 'order': 6, 'powers': [5, 4, 39], 'representative': 277596, 'size': 193}
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id: 24649594
{'aut_label': '6H1', 'centralizer': '193.a1', 'counter': 40, 'group_counter': 5, 'group_order': 444672, 'label': '6H-1', 'order': 6, 'powers': [6, 4, 40], 'representative': 129372, 'size': 193}
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id: 24649605
{'aut_label': '6H1', 'centralizer': '193.a1', 'counter': 41, 'group_counter': 5, 'group_order': 444672, 'label': '6I1', 'order': 6, 'powers': [6, 3, 41], 'representative': 188124, 'size': 193}
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id: 24649616
{'aut_label': '6H1', 'centralizer': '193.a1', 'counter': 42, 'group_counter': 5, 'group_order': 444672, 'label': '6I-1', 'order': 6, 'powers': [5, 3, 42], 'representative': 336348, 'size': 193}
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id: 24649627
{'aut_label': '6J1', 'centralizer': '193.a1', 'counter': 43, 'group_counter': 5, 'group_order': 444672, 'label': '6J1', 'order': 6, 'powers': [10, 2, 43], 'representative': 318056, 'size': 193}
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id: 24649638
{'aut_label': '6J-1', 'centralizer': '193.a1', 'counter': 44, 'group_counter': 5, 'group_order': 444672, 'label': '6J-1', 'order': 6, 'powers': [9, 2, 44], 'representative': 1360, 'size': 193}
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id: 24649649
{'aut_label': '6J1', 'centralizer': '193.a1', 'counter': 45, 'group_counter': 5, 'group_order': 444672, 'label': '6K1', 'order': 6, 'powers': [12, 2, 45], 'representative': 268136, 'size': 193}
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id: 24649660
{'aut_label': '6J-1', 'centralizer': '193.a1', 'counter': 46, 'group_counter': 5, 'group_order': 444672, 'label': '6K-1', 'order': 6, 'powers': [11, 2, 46], 'representative': 44368, 'size': 193}
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id: 24649671
{'aut_label': '6J1', 'centralizer': '193.a1', 'counter': 47, 'group_counter': 5, 'group_order': 444672, 'label': '6L1', 'order': 6, 'powers': [8, 2, 47], 'representative': 70760, 'size': 193}
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id: 24649682
{'aut_label': '6J-1', 'centralizer': '193.a1', 'counter': 48, 'group_counter': 5, 'group_order': 444672, 'label': '6L-1', 'order': 6, 'powers': [7, 2, 48], 'representative': 22864, 'size': 193}
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id: 24649693
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 49, 'group_counter': 5, 'group_order': 444672, 'label': '8A1', 'order': 8, 'powers': [14, 51, 49], 'representative': 277920, 'size': 1}
-
id: 24649705
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 50, 'group_counter': 5, 'group_order': 444672, 'label': '8A-1', 'order': 8, 'powers': [13, 52, 50], 'representative': 166752, 'size': 1}
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id: 24649716
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 51, 'group_counter': 5, 'group_order': 444672, 'label': '8A3', 'order': 8, 'powers': [13, 49, 51], 'representative': 389088, 'size': 1}
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id: 24649727
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 52, 'group_counter': 5, 'group_order': 444672, 'label': '8A-3', 'order': 8, 'powers': [14, 50, 52], 'representative': 55584, 'size': 1}
-
id: 24649738
{'aut_label': '8B1', 'centralizer': '193.a1', 'counter': 53, 'group_counter': 5, 'group_order': 444672, 'label': '8B1', 'order': 8, 'powers': [23, 55, 53], 'representative': 241998, 'size': 193}
-
id: 24649749
{'aut_label': '8B-1', 'centralizer': '193.a1', 'counter': 54, 'group_counter': 5, 'group_order': 444672, 'label': '8B-1', 'order': 8, 'powers': [24, 56, 54], 'representative': 63594, 'size': 193}
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id: 24649760
{'aut_label': '8B-1', 'centralizer': '193.a1', 'counter': 55, 'group_counter': 5, 'group_order': 444672, 'label': '8B3', 'order': 8, 'powers': [24, 53, 55], 'representative': 285930, 'size': 193}
-
id: 24649771
{'aut_label': '8B1', 'centralizer': '193.a1', 'counter': 56, 'group_counter': 5, 'group_order': 444672, 'label': '8B-3', 'order': 8, 'powers': [23, 54, 56], 'representative': 19662, 'size': 193}
-
id: 24649782
{'aut_label': '8B1', 'centralizer': '193.a1', 'counter': 57, 'group_counter': 5, 'group_order': 444672, 'label': '8C1', 'order': 8, 'powers': [24, 59, 57], 'representative': 399246, 'size': 193}
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id: 24649793
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id: 24647651
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id: 24647652
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id: 24647653
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id: 24647654
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id: 24647656
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id: 24647657
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id: 24647658
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id: 24647659
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id: 24647660
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id: 24647661
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id: 24647662
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id: 24647663
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id: 24647664
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id: 24647665
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id: 24647667
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id: 24647668
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id: 24647669
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id: 24647670
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id: 24647671
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id: 24647672
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id: 24647673
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id: 24647674
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id: 24647675
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id: 24647676
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id: 24647678
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id: 24647679
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id: 24647680
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id: 24647681
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id: 24647682
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id: 24647683
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id: 24647684
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id: 24647685
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id: 24647686
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id: 24647687
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id: 24647689
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id: 24647690
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id: 24647691
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id: 24647692
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id: 24647693
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id: 24647694
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id: 24647695
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id: 24647696
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id: 24647697
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id: 24647698
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id: 24647700
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id: 24647701
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id: 24647702
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id: 24647703
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id: 24647704
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id: 24647705
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id: 24647706
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id: 24647707
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id: 24647708
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id: 24647709
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id: 24647711
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id: 24647712
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id: 24647713
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id: 24647714
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id: 24647715
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id: 24647716
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id: 24647717
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id: 24647718
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id: 24647719
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id: 24647720
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id: 24647722
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id: 24647723
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id: 24647724
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id: 24647725
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id: 24647727
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id: 24647729
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id: 24647730
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id: 24647731
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id: 24647733
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id: 24647734
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id: 24647735
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id: 24647737
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id: 24647740
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id: 24647741
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id: 24647742
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id: 24647745
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id: 24647746
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id: 24647747
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id: 24647748
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id: 24647752
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id: 24647769
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id: 24647771
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id: 24647772
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id: 24647773
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id: 24647774
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id: 24647778
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id: 24647845
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id: 24647846
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1592, 'group_counter': 5, 'group_order': 444672, 'label': '192E-83', 'order': 192, 'powers': [1129, 724, 1592], 'representative': 1477, 'size': 193}
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id: 24647847
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id: 24647848
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1594, 'group_counter': 5, 'group_order': 444672, 'label': '192E-85', 'order': 192, 'powers': [1127, 726, 1594], 'representative': 1427, 'size': 193}
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id: 24647849
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1595, 'group_counter': 5, 'group_order': 444672, 'label': '192E89', 'order': 192, 'powers': [1126, 729, 1595], 'representative': 137, 'size': 193}
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id: 24647850
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1596, 'group_counter': 5, 'group_order': 444672, 'label': '192E-89', 'order': 192, 'powers': [1125, 730, 1596], 'representative': 1327, 'size': 193}
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id: 24647851
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1597, 'group_counter': 5, 'group_order': 444672, 'label': '192E91', 'order': 192, 'powers': [1124, 731, 1597], 'representative': 187, 'size': 193}
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id: 24647852
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1598, 'group_counter': 5, 'group_order': 444672, 'label': '192E-91', 'order': 192, 'powers': [1123, 732, 1598], 'representative': 1277, 'size': 193}
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id: 24647853
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1599, 'group_counter': 5, 'group_order': 444672, 'label': '192E95', 'order': 192, 'powers': [1122, 735, 1599], 'representative': 287, 'size': 193}
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id: 24647856
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1600, 'group_counter': 5, 'group_order': 444672, 'label': '192E-95', 'order': 192, 'powers': [1121, 736, 1600], 'representative': 1177, 'size': 193}
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id: 24647857
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1601, 'group_counter': 5, 'group_order': 444672, 'label': '192F1', 'order': 192, 'powers': [1097, 673, 1601], 'representative': 817, 'size': 193}
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id: 24647858
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1602, 'group_counter': 5, 'group_order': 444672, 'label': '192F-1', 'order': 192, 'powers': [1098, 674, 1602], 'representative': 647, 'size': 193}
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id: 24647859
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1603, 'group_counter': 5, 'group_order': 444672, 'label': '192F5', 'order': 192, 'powers': [1110, 677, 1603], 'representative': 1781, 'size': 193}
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id: 24647860
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1604, 'group_counter': 5, 'group_order': 444672, 'label': '192F-5', 'order': 192, 'powers': [1109, 678, 1604], 'representative': 1987, 'size': 193}
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id: 24647861
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1605, 'group_counter': 5, 'group_order': 444672, 'label': '192F7', 'order': 192, 'powers': [1092, 679, 1605], 'representative': 1111, 'size': 193}
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id: 24647862
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1606, 'group_counter': 5, 'group_order': 444672, 'label': '192F-7', 'order': 192, 'powers': [1091, 680, 1606], 'representative': 353, 'size': 193}
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id: 24647863
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1607, 'group_counter': 5, 'group_order': 444672, 'label': '192F11', 'order': 192, 'powers': [1119, 683, 1607], 'representative': 2075, 'size': 193}
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id: 24647864
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1608, 'group_counter': 5, 'group_order': 444672, 'label': '192F-11', 'order': 192, 'powers': [1120, 684, 1608], 'representative': 1693, 'size': 193}
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id: 24647865
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1609, 'group_counter': 5, 'group_order': 444672, 'label': '192F13', 'order': 192, 'powers': [1104, 685, 1609], 'representative': 1405, 'size': 193}
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id: 24647867
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1610, 'group_counter': 5, 'group_order': 444672, 'label': '192F-13', 'order': 192, 'powers': [1103, 686, 1610], 'representative': 59, 'size': 193}
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id: 24647868
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1611, 'group_counter': 5, 'group_order': 444672, 'label': '192F17', 'order': 192, 'powers': [1107, 689, 1611], 'representative': 65, 'size': 193}
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id: 24647869
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1612, 'group_counter': 5, 'group_order': 444672, 'label': '192F-17', 'order': 192, 'powers': [1108, 690, 1612], 'representative': 1399, 'size': 193}
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id: 24647870
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1613, 'group_counter': 5, 'group_order': 444672, 'label': '192F19', 'order': 192, 'powers': [1116, 691, 1613], 'representative': 1699, 'size': 193}
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id: 24647871
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1614, 'group_counter': 5, 'group_order': 444672, 'label': '192F-19', 'order': 192, 'powers': [1115, 692, 1614], 'representative': 2069, 'size': 193}
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id: 24647872
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1615, 'group_counter': 5, 'group_order': 444672, 'label': '192F23', 'order': 192, 'powers': [1095, 695, 1615], 'representative': 359, 'size': 193}
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id: 24647873
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1616, 'group_counter': 5, 'group_order': 444672, 'label': '192F-23', 'order': 192, 'powers': [1096, 696, 1616], 'representative': 1105, 'size': 193}
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id: 24647874
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1617, 'group_counter': 5, 'group_order': 444672, 'label': '192F25', 'order': 192, 'powers': [1113, 697, 1617], 'representative': 529, 'size': 193}
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id: 24647875
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1618, 'group_counter': 5, 'group_order': 444672, 'label': '192F-25', 'order': 192, 'powers': [1114, 698, 1618], 'representative': 935, 'size': 193}
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id: 24647876
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1619, 'group_counter': 5, 'group_order': 444672, 'label': '192F29', 'order': 192, 'powers': [1094, 701, 1619], 'representative': 1493, 'size': 193}
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id: 24647878
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1620, 'group_counter': 5, 'group_order': 444672, 'label': '192F-29', 'order': 192, 'powers': [1093, 702, 1620], 'representative': 2275, 'size': 193}
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id: 24647879
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1621, 'group_counter': 5, 'group_order': 444672, 'label': '192F31', 'order': 192, 'powers': [1101, 703, 1621], 'representative': 823, 'size': 193}
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id: 24647880
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1622, 'group_counter': 5, 'group_order': 444672, 'label': '192F-31', 'order': 192, 'powers': [1102, 704, 1622], 'representative': 641, 'size': 193}
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id: 24647881
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1623, 'group_counter': 5, 'group_order': 444672, 'label': '192F35', 'order': 192, 'powers': [1106, 702, 1623], 'representative': 1787, 'size': 193}
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id: 24647882
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1624, 'group_counter': 5, 'group_order': 444672, 'label': '192F-35', 'order': 192, 'powers': [1105, 701, 1624], 'representative': 1981, 'size': 193}
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id: 24647883
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1625, 'group_counter': 5, 'group_order': 444672, 'label': '192F37', 'order': 192, 'powers': [1089, 700, 1625], 'representative': 1117, 'size': 193}
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id: 24647884
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1626, 'group_counter': 5, 'group_order': 444672, 'label': '192F-37', 'order': 192, 'powers': [1090, 699, 1626], 'representative': 347, 'size': 193}
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id: 24647885
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1627, 'group_counter': 5, 'group_order': 444672, 'label': '192F41', 'order': 192, 'powers': [1118, 696, 1627], 'representative': 2081, 'size': 193}
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id: 24647886
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1628, 'group_counter': 5, 'group_order': 444672, 'label': '192F-41', 'order': 192, 'powers': [1117, 695, 1628], 'representative': 1687, 'size': 193}
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id: 24647887
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1629, 'group_counter': 5, 'group_order': 444672, 'label': '192F43', 'order': 192, 'powers': [1100, 694, 1629], 'representative': 1411, 'size': 193}
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id: 24647889
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1630, 'group_counter': 5, 'group_order': 444672, 'label': '192F-43', 'order': 192, 'powers': [1099, 693, 1630], 'representative': 53, 'size': 193}
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id: 24647890
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1631, 'group_counter': 5, 'group_order': 444672, 'label': '192F47', 'order': 192, 'powers': [1111, 690, 1631], 'representative': 71, 'size': 193}
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id: 24647891
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1632, 'group_counter': 5, 'group_order': 444672, 'label': '192F-47', 'order': 192, 'powers': [1112, 689, 1632], 'representative': 1393, 'size': 193}
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id: 24647892
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1633, 'group_counter': 5, 'group_order': 444672, 'label': '192F49', 'order': 192, 'powers': [1112, 688, 1633], 'representative': 241, 'size': 193}
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id: 24647893
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1634, 'group_counter': 5, 'group_order': 444672, 'label': '192F-49', 'order': 192, 'powers': [1111, 687, 1634], 'representative': 1223, 'size': 193}
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id: 24647894
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1635, 'group_counter': 5, 'group_order': 444672, 'label': '192F53', 'order': 192, 'powers': [1099, 684, 1635], 'representative': 1205, 'size': 193}
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id: 24647895
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1636, 'group_counter': 5, 'group_order': 444672, 'label': '192F-53', 'order': 192, 'powers': [1100, 683, 1636], 'representative': 259, 'size': 193}
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id: 24647896
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1637, 'group_counter': 5, 'group_order': 444672, 'label': '192F55', 'order': 192, 'powers': [1117, 682, 1637], 'representative': 535, 'size': 193}
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id: 24647897
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1638, 'group_counter': 5, 'group_order': 444672, 'label': '192F-55', 'order': 192, 'powers': [1118, 681, 1638], 'representative': 929, 'size': 193}
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id: 24647898
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1639, 'group_counter': 5, 'group_order': 444672, 'label': '192F59', 'order': 192, 'powers': [1090, 678, 1639], 'representative': 1499, 'size': 193}
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id: 24647900
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1640, 'group_counter': 5, 'group_order': 444672, 'label': '192F-59', 'order': 192, 'powers': [1089, 677, 1640], 'representative': 2269, 'size': 193}
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id: 24647901
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1641, 'group_counter': 5, 'group_order': 444672, 'label': '192F61', 'order': 192, 'powers': [1105, 676, 1641], 'representative': 829, 'size': 193}
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id: 24647902
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1642, 'group_counter': 5, 'group_order': 444672, 'label': '192F-61', 'order': 192, 'powers': [1106, 675, 1642], 'representative': 635, 'size': 193}
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id: 24647903
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1643, 'group_counter': 5, 'group_order': 444672, 'label': '192F65', 'order': 192, 'powers': [1102, 673, 1643], 'representative': 1793, 'size': 193}
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id: 24647904
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1644, 'group_counter': 5, 'group_order': 444672, 'label': '192F-65', 'order': 192, 'powers': [1101, 674, 1644], 'representative': 1975, 'size': 193}
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id: 24647905
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1645, 'group_counter': 5, 'group_order': 444672, 'label': '192F67', 'order': 192, 'powers': [1093, 675, 1645], 'representative': 1123, 'size': 193}
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id: 24647906
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1646, 'group_counter': 5, 'group_order': 444672, 'label': '192F-67', 'order': 192, 'powers': [1094, 676, 1646], 'representative': 341, 'size': 193}
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id: 24647907
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1647, 'group_counter': 5, 'group_order': 444672, 'label': '192F71', 'order': 192, 'powers': [1114, 679, 1647], 'representative': 2087, 'size': 193}
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id: 24647908
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1648, 'group_counter': 5, 'group_order': 444672, 'label': '192F-71', 'order': 192, 'powers': [1113, 680, 1648], 'representative': 1681, 'size': 193}
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id: 24647909
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1649, 'group_counter': 5, 'group_order': 444672, 'label': '192F73', 'order': 192, 'powers': [1096, 681, 1649], 'representative': 2257, 'size': 193}
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id: 24647911
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1650, 'group_counter': 5, 'group_order': 444672, 'label': '192F-73', 'order': 192, 'powers': [1095, 682, 1650], 'representative': 1511, 'size': 193}
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id: 24647912
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1651, 'group_counter': 5, 'group_order': 444672, 'label': '192F77', 'order': 192, 'powers': [1115, 685, 1651], 'representative': 917, 'size': 193}
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id: 24647913
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1652, 'group_counter': 5, 'group_order': 444672, 'label': '192F-77', 'order': 192, 'powers': [1116, 686, 1652], 'representative': 547, 'size': 193}
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id: 24647914
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1653, 'group_counter': 5, 'group_order': 444672, 'label': '192F79', 'order': 192, 'powers': [1108, 687, 1653], 'representative': 247, 'size': 193}
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id: 24647915
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1654, 'group_counter': 5, 'group_order': 444672, 'label': '192F-79', 'order': 192, 'powers': [1107, 688, 1654], 'representative': 1217, 'size': 193}
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id: 24647916
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1655, 'group_counter': 5, 'group_order': 444672, 'label': '192F83', 'order': 192, 'powers': [1103, 691, 1655], 'representative': 1211, 'size': 193}
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id: 24647917
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1656, 'group_counter': 5, 'group_order': 444672, 'label': '192F-83', 'order': 192, 'powers': [1104, 692, 1656], 'representative': 253, 'size': 193}
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id: 24647918
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1657, 'group_counter': 5, 'group_order': 444672, 'label': '192F85', 'order': 192, 'powers': [1120, 693, 1657], 'representative': 541, 'size': 193}
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id: 24647919
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1658, 'group_counter': 5, 'group_order': 444672, 'label': '192F-85', 'order': 192, 'powers': [1119, 694, 1658], 'representative': 923, 'size': 193}
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id: 24647920
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1659, 'group_counter': 5, 'group_order': 444672, 'label': '192F89', 'order': 192, 'powers': [1091, 697, 1659], 'representative': 1505, 'size': 193}
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id: 24647922
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1660, 'group_counter': 5, 'group_order': 444672, 'label': '192F-89', 'order': 192, 'powers': [1092, 698, 1660], 'representative': 2263, 'size': 193}
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id: 24647923
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1661, 'group_counter': 5, 'group_order': 444672, 'label': '192F91', 'order': 192, 'powers': [1109, 699, 1661], 'representative': 835, 'size': 193}
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id: 24647924
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1662, 'group_counter': 5, 'group_order': 444672, 'label': '192F-91', 'order': 192, 'powers': [1110, 700, 1662], 'representative': 629, 'size': 193}
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id: 24647925
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1663, 'group_counter': 5, 'group_order': 444672, 'label': '192F95', 'order': 192, 'powers': [1098, 703, 1663], 'representative': 1799, 'size': 193}
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id: 24647926
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1664, 'group_counter': 5, 'group_order': 444672, 'label': '192F-95', 'order': 192, 'powers': [1097, 704, 1664], 'representative': 1969, 'size': 193}
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id: 24647927
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1665, 'group_counter': 5, 'group_order': 444672, 'label': '192G1', 'order': 192, 'powers': [1033, 704, 1665], 'representative': 433, 'size': 193}
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id: 24647928
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1666, 'group_counter': 5, 'group_order': 444672, 'label': '192G-1', 'order': 192, 'powers': [1034, 703, 1666], 'representative': 1031, 'size': 193}
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id: 24647929
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1667, 'group_counter': 5, 'group_order': 444672, 'label': '192G5', 'order': 192, 'powers': [1046, 700, 1667], 'representative': 2165, 'size': 193}
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id: 24647930
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1668, 'group_counter': 5, 'group_order': 444672, 'label': '192G-5', 'order': 192, 'powers': [1045, 699, 1668], 'representative': 1603, 'size': 193}
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id: 24647931
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1669, 'group_counter': 5, 'group_order': 444672, 'label': '192G7', 'order': 192, 'powers': [1028, 698, 1669], 'representative': 727, 'size': 193}
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id: 24647933
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1670, 'group_counter': 5, 'group_order': 444672, 'label': '192G-7', 'order': 192, 'powers': [1027, 697, 1670], 'representative': 737, 'size': 193}
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id: 24647934
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1671, 'group_counter': 5, 'group_order': 444672, 'label': '192G11', 'order': 192, 'powers': [1055, 694, 1671], 'representative': 155, 'size': 193}
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id: 24647935
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1672, 'group_counter': 5, 'group_order': 444672, 'label': '192G-11', 'order': 192, 'powers': [1056, 693, 1672], 'representative': 1309, 'size': 193}
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id: 24647936
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1673, 'group_counter': 5, 'group_order': 444672, 'label': '192G13', 'order': 192, 'powers': [1040, 692, 1673], 'representative': 1021, 'size': 193}
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id: 24647937
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1674, 'group_counter': 5, 'group_order': 444672, 'label': '192G-13', 'order': 192, 'powers': [1039, 691, 1674], 'representative': 443, 'size': 193}
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id: 24647938
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1675, 'group_counter': 5, 'group_order': 444672, 'label': '192G17', 'order': 192, 'powers': [1043, 688, 1675], 'representative': 449, 'size': 193}
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id: 24647939
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1676, 'group_counter': 5, 'group_order': 444672, 'label': '192G-17', 'order': 192, 'powers': [1044, 687, 1676], 'representative': 1015, 'size': 193}
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id: 24647940
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1677, 'group_counter': 5, 'group_order': 444672, 'label': '192G19', 'order': 192, 'powers': [1052, 686, 1677], 'representative': 1315, 'size': 193}
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id: 24647941
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1678, 'group_counter': 5, 'group_order': 444672, 'label': '192G-19', 'order': 192, 'powers': [1051, 685, 1678], 'representative': 149, 'size': 193}
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id: 24647942
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id: 24647944
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id: 24647945
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id: 24647946
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1682, 'group_counter': 5, 'group_order': 444672, 'label': '192G-25', 'order': 192, 'powers': [1050, 679, 1682], 'representative': 1319, 'size': 193}
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id: 24647947
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1683, 'group_counter': 5, 'group_order': 444672, 'label': '192G29', 'order': 192, 'powers': [1030, 676, 1683], 'representative': 1877, 'size': 193}
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id: 24647948
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1684, 'group_counter': 5, 'group_order': 444672, 'label': '192G-29', 'order': 192, 'powers': [1029, 675, 1684], 'representative': 1891, 'size': 193}
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id: 24647949
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1685, 'group_counter': 5, 'group_order': 444672, 'label': '192G31', 'order': 192, 'powers': [1037, 674, 1685], 'representative': 439, 'size': 193}
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id: 24647950
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1686, 'group_counter': 5, 'group_order': 444672, 'label': '192G-31', 'order': 192, 'powers': [1038, 673, 1686], 'representative': 1025, 'size': 193}
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id: 24647951
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id: 24647952
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1688, 'group_counter': 5, 'group_order': 444672, 'label': '192G-35', 'order': 192, 'powers': [1041, 676, 1688], 'representative': 1597, 'size': 193}
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id: 24647953
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1689, 'group_counter': 5, 'group_order': 444672, 'label': '192G37', 'order': 192, 'powers': [1025, 677, 1689], 'representative': 733, 'size': 193}
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id: 24647955
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id: 24647956
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1691, 'group_counter': 5, 'group_order': 444672, 'label': '192G41', 'order': 192, 'powers': [1054, 681, 1691], 'representative': 161, 'size': 193}
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id: 24647957
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1692, 'group_counter': 5, 'group_order': 444672, 'label': '192G-41', 'order': 192, 'powers': [1053, 682, 1692], 'representative': 1303, 'size': 193}
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id: 24647958
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1693, 'group_counter': 5, 'group_order': 444672, 'label': '192G43', 'order': 192, 'powers': [1036, 683, 1693], 'representative': 1027, 'size': 193}
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id: 24647959
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1694, 'group_counter': 5, 'group_order': 444672, 'label': '192G-43', 'order': 192, 'powers': [1035, 684, 1694], 'representative': 437, 'size': 193}
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id: 24647960
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1695, 'group_counter': 5, 'group_order': 444672, 'label': '192G47', 'order': 192, 'powers': [1047, 687, 1695], 'representative': 455, 'size': 193}
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id: 24647961
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1696, 'group_counter': 5, 'group_order': 444672, 'label': '192G-47', 'order': 192, 'powers': [1048, 688, 1696], 'representative': 1009, 'size': 193}
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id: 24647962
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1697, 'group_counter': 5, 'group_order': 444672, 'label': '192G49', 'order': 192, 'powers': [1048, 689, 1697], 'representative': 2161, 'size': 193}
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id: 24647963
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1698, 'group_counter': 5, 'group_order': 444672, 'label': '192G-49', 'order': 192, 'powers': [1047, 690, 1698], 'representative': 1607, 'size': 193}
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id: 24647964
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1699, 'group_counter': 5, 'group_order': 444672, 'label': '192G53', 'order': 192, 'powers': [1035, 693, 1699], 'representative': 1589, 'size': 193}
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id: 24647967
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1700, 'group_counter': 5, 'group_order': 444672, 'label': '192G-53', 'order': 192, 'powers': [1036, 694, 1700], 'representative': 2179, 'size': 193}
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id: 24647968
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1701, 'group_counter': 5, 'group_order': 444672, 'label': '192G55', 'order': 192, 'powers': [1053, 695, 1701], 'representative': 151, 'size': 193}
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id: 24647969
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1702, 'group_counter': 5, 'group_order': 444672, 'label': '192G-55', 'order': 192, 'powers': [1054, 696, 1702], 'representative': 1313, 'size': 193}
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id: 24647970
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1703, 'group_counter': 5, 'group_order': 444672, 'label': '192G59', 'order': 192, 'powers': [1026, 699, 1703], 'representative': 1883, 'size': 193}
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id: 24647971
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1704, 'group_counter': 5, 'group_order': 444672, 'label': '192G-59', 'order': 192, 'powers': [1025, 700, 1704], 'representative': 1885, 'size': 193}
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id: 24647972
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1705, 'group_counter': 5, 'group_order': 444672, 'label': '192G61', 'order': 192, 'powers': [1041, 701, 1705], 'representative': 445, 'size': 193}
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id: 24647973
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1706, 'group_counter': 5, 'group_order': 444672, 'label': '192G-61', 'order': 192, 'powers': [1042, 702, 1706], 'representative': 1019, 'size': 193}
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id: 24647974
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1707, 'group_counter': 5, 'group_order': 444672, 'label': '192G65', 'order': 192, 'powers': [1038, 704, 1707], 'representative': 2177, 'size': 193}
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id: 24647975
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1708, 'group_counter': 5, 'group_order': 444672, 'label': '192G-65', 'order': 192, 'powers': [1037, 703, 1708], 'representative': 1591, 'size': 193}
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id: 24647976
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1709, 'group_counter': 5, 'group_order': 444672, 'label': '192G67', 'order': 192, 'powers': [1029, 702, 1709], 'representative': 739, 'size': 193}
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id: 24647978
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1710, 'group_counter': 5, 'group_order': 444672, 'label': '192G-67', 'order': 192, 'powers': [1030, 701, 1710], 'representative': 725, 'size': 193}
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id: 24647979
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1711, 'group_counter': 5, 'group_order': 444672, 'label': '192G71', 'order': 192, 'powers': [1050, 698, 1711], 'representative': 167, 'size': 193}
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id: 24647980
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1712, 'group_counter': 5, 'group_order': 444672, 'label': '192G-71', 'order': 192, 'powers': [1049, 697, 1712], 'representative': 1297, 'size': 193}
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id: 24647981
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1713, 'group_counter': 5, 'group_order': 444672, 'label': '192G73', 'order': 192, 'powers': [1032, 696, 1713], 'representative': 1873, 'size': 193}
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id: 24647982
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1714, 'group_counter': 5, 'group_order': 444672, 'label': '192G-73', 'order': 192, 'powers': [1031, 695, 1714], 'representative': 1895, 'size': 193}
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id: 24647983
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1715, 'group_counter': 5, 'group_order': 444672, 'label': '192G77', 'order': 192, 'powers': [1051, 692, 1715], 'representative': 1301, 'size': 193}
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id: 24647984
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1716, 'group_counter': 5, 'group_order': 444672, 'label': '192G-77', 'order': 192, 'powers': [1052, 691, 1716], 'representative': 163, 'size': 193}
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id: 24647985
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1717, 'group_counter': 5, 'group_order': 444672, 'label': '192G79', 'order': 192, 'powers': [1044, 690, 1717], 'representative': 2167, 'size': 193}
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id: 24647986
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1718, 'group_counter': 5, 'group_order': 444672, 'label': '192G-79', 'order': 192, 'powers': [1043, 689, 1718], 'representative': 1601, 'size': 193}
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id: 24647987
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1719, 'group_counter': 5, 'group_order': 444672, 'label': '192G83', 'order': 192, 'powers': [1039, 686, 1719], 'representative': 1595, 'size': 193}
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id: 24647989
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1720, 'group_counter': 5, 'group_order': 444672, 'label': '192G-83', 'order': 192, 'powers': [1040, 685, 1720], 'representative': 2173, 'size': 193}
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id: 24647990
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1721, 'group_counter': 5, 'group_order': 444672, 'label': '192G85', 'order': 192, 'powers': [1056, 684, 1721], 'representative': 157, 'size': 193}
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id: 24647991
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1722, 'group_counter': 5, 'group_order': 444672, 'label': '192G-85', 'order': 192, 'powers': [1055, 683, 1722], 'representative': 1307, 'size': 193}
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id: 24647992
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1723, 'group_counter': 5, 'group_order': 444672, 'label': '192G89', 'order': 192, 'powers': [1027, 680, 1723], 'representative': 1889, 'size': 193}
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id: 24647993
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1724, 'group_counter': 5, 'group_order': 444672, 'label': '192G-89', 'order': 192, 'powers': [1028, 679, 1724], 'representative': 1879, 'size': 193}
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id: 24647994
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1725, 'group_counter': 5, 'group_order': 444672, 'label': '192G91', 'order': 192, 'powers': [1045, 678, 1725], 'representative': 451, 'size': 193}
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id: 24647995
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1726, 'group_counter': 5, 'group_order': 444672, 'label': '192G-91', 'order': 192, 'powers': [1046, 677, 1726], 'representative': 1013, 'size': 193}
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id: 24647996
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1727, 'group_counter': 5, 'group_order': 444672, 'label': '192G95', 'order': 192, 'powers': [1034, 674, 1727], 'representative': 2183, 'size': 193}
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id: 24647997
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1728, 'group_counter': 5, 'group_order': 444672, 'label': '192G-95', 'order': 192, 'powers': [1033, 673, 1728], 'representative': 1585, 'size': 193}
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id: 24647998
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1729, 'group_counter': 5, 'group_order': 444672, 'label': '192H1', 'order': 192, 'powers': [1153, 705, 1729], 'representative': 793, 'size': 193}
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id: 24648000
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1730, 'group_counter': 5, 'group_order': 444672, 'label': '192H-1', 'order': 192, 'powers': [1154, 706, 1730], 'representative': 671, 'size': 193}
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id: 24648001
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1731, 'group_counter': 5, 'group_order': 444672, 'label': '192H5', 'order': 192, 'powers': [1155, 709, 1731], 'representative': 1661, 'size': 193}
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id: 24648002
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1732, 'group_counter': 5, 'group_order': 444672, 'label': '192H-5', 'order': 192, 'powers': [1156, 710, 1732], 'representative': 2107, 'size': 193}
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id: 24648003
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1733, 'group_counter': 5, 'group_order': 444672, 'label': '192H7', 'order': 192, 'powers': [1157, 711, 1733], 'representative': 943, 'size': 193}
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id: 24648004
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1734, 'group_counter': 5, 'group_order': 444672, 'label': '192H-7', 'order': 192, 'powers': [1158, 712, 1734], 'representative': 521, 'size': 193}
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id: 24648005
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1735, 'group_counter': 5, 'group_order': 444672, 'label': '192H11', 'order': 192, 'powers': [1159, 715, 1735], 'representative': 1811, 'size': 193}
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id: 24648006
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1736, 'group_counter': 5, 'group_order': 444672, 'label': '192H-11', 'order': 192, 'powers': [1160, 716, 1736], 'representative': 1957, 'size': 193}
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id: 24648007
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1737, 'group_counter': 5, 'group_order': 444672, 'label': '192H13', 'order': 192, 'powers': [1161, 717, 1737], 'representative': 1093, 'size': 193}
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id: 24648008
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1738, 'group_counter': 5, 'group_order': 444672, 'label': '192H-13', 'order': 192, 'powers': [1162, 718, 1738], 'representative': 371, 'size': 193}
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id: 24648009
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1739, 'group_counter': 5, 'group_order': 444672, 'label': '192H17', 'order': 192, 'powers': [1163, 721, 1739], 'representative': 1961, 'size': 193}
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id: 24648011
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1740, 'group_counter': 5, 'group_order': 444672, 'label': '192H-17', 'order': 192, 'powers': [1164, 722, 1740], 'representative': 1807, 'size': 193}
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id: 24648012
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1741, 'group_counter': 5, 'group_order': 444672, 'label': '192H19', 'order': 192, 'powers': [1165, 723, 1741], 'representative': 1243, 'size': 193}
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id: 24648013
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1742, 'group_counter': 5, 'group_order': 444672, 'label': '192H-19', 'order': 192, 'powers': [1166, 724, 1742], 'representative': 221, 'size': 193}
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id: 24648014
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1743, 'group_counter': 5, 'group_order': 444672, 'label': '192H23', 'order': 192, 'powers': [1167, 727, 1743], 'representative': 2111, 'size': 193}
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id: 24648015
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1744, 'group_counter': 5, 'group_order': 444672, 'label': '192H-23', 'order': 192, 'powers': [1168, 728, 1744], 'representative': 1657, 'size': 193}
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id: 24648016
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1745, 'group_counter': 5, 'group_order': 444672, 'label': '192H25', 'order': 192, 'powers': [1169, 729, 1745], 'representative': 2233, 'size': 193}
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id: 24648017
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1746, 'group_counter': 5, 'group_order': 444672, 'label': '192H-25', 'order': 192, 'powers': [1170, 730, 1746], 'representative': 1535, 'size': 193}
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id: 24648018
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1747, 'group_counter': 5, 'group_order': 444672, 'label': '192H29', 'order': 192, 'powers': [1171, 733, 1747], 'representative': 797, 'size': 193}
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id: 24648019
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1748, 'group_counter': 5, 'group_order': 444672, 'label': '192H-29', 'order': 192, 'powers': [1172, 734, 1748], 'representative': 667, 'size': 193}
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id: 24648020
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1749, 'group_counter': 5, 'group_order': 444672, 'label': '192H31', 'order': 192, 'powers': [1173, 735, 1749], 'representative': 79, 'size': 193}
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id: 24648022
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1750, 'group_counter': 5, 'group_order': 444672, 'label': '192H-31', 'order': 192, 'powers': [1174, 736, 1750], 'representative': 1385, 'size': 193}
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id: 24648023
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1751, 'group_counter': 5, 'group_order': 444672, 'label': '192H35', 'order': 192, 'powers': [1175, 734, 1751], 'representative': 947, 'size': 193}
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id: 24648024
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1752, 'group_counter': 5, 'group_order': 444672, 'label': '192H-35', 'order': 192, 'powers': [1176, 733, 1752], 'representative': 517, 'size': 193}
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id: 24648025
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1753, 'group_counter': 5, 'group_order': 444672, 'label': '192H37', 'order': 192, 'powers': [1177, 732, 1753], 'representative': 229, 'size': 193}
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id: 24648026
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1754, 'group_counter': 5, 'group_order': 444672, 'label': '192H-37', 'order': 192, 'powers': [1178, 731, 1754], 'representative': 1235, 'size': 193}
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id: 24648027
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1755, 'group_counter': 5, 'group_order': 444672, 'label': '192H41', 'order': 192, 'powers': [1179, 728, 1755], 'representative': 1097, 'size': 193}
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id: 24648028
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1756, 'group_counter': 5, 'group_order': 444672, 'label': '192H-41', 'order': 192, 'powers': [1180, 727, 1756], 'representative': 367, 'size': 193}
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id: 24648029
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1757, 'group_counter': 5, 'group_order': 444672, 'label': '192H43', 'order': 192, 'powers': [1181, 726, 1757], 'representative': 379, 'size': 193}
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id: 24648030
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1758, 'group_counter': 5, 'group_order': 444672, 'label': '192H-43', 'order': 192, 'powers': [1182, 725, 1758], 'representative': 1085, 'size': 193}
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id: 24648031
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1759, 'group_counter': 5, 'group_order': 444672, 'label': '192H47', 'order': 192, 'powers': [1183, 722, 1759], 'representative': 1247, 'size': 193}
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id: 24648033
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1760, 'group_counter': 5, 'group_order': 444672, 'label': '192H-47', 'order': 192, 'powers': [1184, 721, 1760], 'representative': 217, 'size': 193}
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id: 24648034
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1761, 'group_counter': 5, 'group_order': 444672, 'label': '192H49', 'order': 192, 'powers': [1184, 720, 1761], 'representative': 1369, 'size': 193}
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id: 24648035
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1762, 'group_counter': 5, 'group_order': 444672, 'label': '192H-49', 'order': 192, 'powers': [1183, 719, 1762], 'representative': 95, 'size': 193}
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id: 24648036
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1763, 'group_counter': 5, 'group_order': 444672, 'label': '192H53', 'order': 192, 'powers': [1182, 716, 1763], 'representative': 2237, 'size': 193}
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id: 24648037
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1764, 'group_counter': 5, 'group_order': 444672, 'label': '192H-53', 'order': 192, 'powers': [1181, 715, 1764], 'representative': 1531, 'size': 193}
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id: 24648038
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1765, 'group_counter': 5, 'group_order': 444672, 'label': '192H55', 'order': 192, 'powers': [1180, 714, 1765], 'representative': 1519, 'size': 193}
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id: 24648039
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1766, 'group_counter': 5, 'group_order': 444672, 'label': '192H-55', 'order': 192, 'powers': [1179, 713, 1766], 'representative': 2249, 'size': 193}
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id: 24648040
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id: 24648046
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id: 24648047
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id: 24648049
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id: 24648050
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id: 24648051
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id: 24648052
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id: 24648053
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id: 24648055
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id: 24648056
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id: 24648057
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id: 24648058
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id: 24648059
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id: 24648060
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id: 24648061
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id: 24648062
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id: 24648063
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id: 24648064
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id: 24648066
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id: 24648067
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id: 24648068
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id: 24648069
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id: 24648070
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id: 24648071
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id: 24648072
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id: 24648073
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id: 24648074
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id: 24648075
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id: 24648078
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id: 24648079
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id: 24648080
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id: 24648081
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id: 24648082
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id: 24648083
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id: 24648084
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id: 24648085
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id: 24648086
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id: 24648087
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id: 24648089
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id: 24648090
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id: 24648091
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id: 24648092
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id: 24648093
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id: 24648094
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id: 24648095
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id: 24648096
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id: 24648097
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id: 24648098
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id: 24648100
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id: 24648101
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id: 24648102
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id: 24648103
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id: 24648104
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id: 24648105
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id: 24648106
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id: 24648107
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id: 24648108
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id: 24648109
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id: 24648111
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id: 24648112
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id: 24648113
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id: 24648114
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id: 24648115
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id: 24648116
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id: 24648118
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id: 24648120
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id: 24648122
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id: 24648123
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id: 24648124
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id: 24648125
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id: 24648126
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id: 24648127
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id: 24648128
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id: 24648129
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id: 24648130
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id: 24648131
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id: 24648133
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id: 24648134
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id: 24648135
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id: 24648136
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id: 24648137
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id: 24648138
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id: 24648139
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id: 24648140
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1857, 'group_counter': 5, 'group_order': 444672, 'label': '192J1', 'order': 192, 'powers': [1160, 737, 1857], 'representative': 73, 'size': 193}
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id: 24648141
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1858, 'group_counter': 5, 'group_order': 444672, 'label': '192J-1', 'order': 192, 'powers': [1159, 738, 1858], 'representative': 1391, 'size': 193}
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id: 24648142
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1859, 'group_counter': 5, 'group_order': 444672, 'label': '192J5', 'order': 192, 'powers': [1179, 741, 1859], 'representative': 365, 'size': 193}
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id: 24648144
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1860, 'group_counter': 5, 'group_order': 444672, 'label': '192J-5', 'order': 192, 'powers': [1180, 742, 1860], 'representative': 1099, 'size': 193}
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id: 24648145
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1861, 'group_counter': 5, 'group_order': 444672, 'label': '192J7', 'order': 192, 'powers': [1165, 743, 1861], 'representative': 511, 'size': 193}
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id: 24648146
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1862, 'group_counter': 5, 'group_order': 444672, 'label': '192J-7', 'order': 192, 'powers': [1166, 744, 1862], 'representative': 953, 'size': 193}
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id: 24648147
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1863, 'group_counter': 5, 'group_order': 444672, 'label': '192J11', 'order': 192, 'powers': [1170, 747, 1863], 'representative': 803, 'size': 193}
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id: 24648148
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1864, 'group_counter': 5, 'group_order': 444672, 'label': '192J-11', 'order': 192, 'powers': [1169, 748, 1864], 'representative': 661, 'size': 193}
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id: 24648149
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1865, 'group_counter': 5, 'group_order': 444672, 'label': '192J13', 'order': 192, 'powers': [1184, 749, 1865], 'representative': 949, 'size': 193}
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id: 24648150
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1866, 'group_counter': 5, 'group_order': 444672, 'label': '192J-13', 'order': 192, 'powers': [1183, 750, 1866], 'representative': 515, 'size': 193}
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id: 24648151
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1867, 'group_counter': 5, 'group_order': 444672, 'label': '192J17', 'order': 192, 'powers': [1155, 753, 1867], 'representative': 1241, 'size': 193}
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id: 24648152
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1868, 'group_counter': 5, 'group_order': 444672, 'label': '192J-17', 'order': 192, 'powers': [1156, 754, 1868], 'representative': 223, 'size': 193}
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id: 24648153
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1869, 'group_counter': 5, 'group_order': 444672, 'label': '192J19', 'order': 192, 'powers': [1164, 755, 1869], 'representative': 1387, 'size': 193}
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id: 24648155
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1870, 'group_counter': 5, 'group_order': 444672, 'label': '192J-19', 'order': 192, 'powers': [1163, 756, 1870], 'representative': 77, 'size': 193}
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id: 24648156
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1871, 'group_counter': 5, 'group_order': 444672, 'label': '192J23', 'order': 192, 'powers': [1175, 759, 1871], 'representative': 1679, 'size': 193}
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id: 24648157
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1872, 'group_counter': 5, 'group_order': 444672, 'label': '192J-23', 'order': 192, 'powers': [1176, 760, 1872], 'representative': 2089, 'size': 193}
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id: 24648158
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1873, 'group_counter': 5, 'group_order': 444672, 'label': '192J25', 'order': 192, 'powers': [1161, 761, 1873], 'representative': 361, 'size': 193}
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id: 24648159
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1874, 'group_counter': 5, 'group_order': 444672, 'label': '192J-25', 'order': 192, 'powers': [1162, 762, 1874], 'representative': 1103, 'size': 193}
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id: 24648160
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1875, 'group_counter': 5, 'group_order': 444672, 'label': '192J29', 'order': 192, 'powers': [1174, 765, 1875], 'representative': 653, 'size': 193}
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id: 24648161
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1876, 'group_counter': 5, 'group_order': 444672, 'label': '192J-29', 'order': 192, 'powers': [1173, 766, 1876], 'representative': 811, 'size': 193}
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id: 24648162
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1877, 'group_counter': 5, 'group_order': 444672, 'label': '192J31', 'order': 192, 'powers': [1181, 767, 1877], 'representative': 799, 'size': 193}
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id: 24648163
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1878, 'group_counter': 5, 'group_order': 444672, 'label': '192J-31', 'order': 192, 'powers': [1182, 768, 1878], 'representative': 665, 'size': 193}
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id: 24648164
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1879, 'group_counter': 5, 'group_order': 444672, 'label': '192J35', 'order': 192, 'powers': [1154, 766, 1879], 'representative': 1091, 'size': 193}
-
id: 24648166
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1880, 'group_counter': 5, 'group_order': 444672, 'label': '192J-35', 'order': 192, 'powers': [1153, 765, 1880], 'representative': 373, 'size': 193}
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id: 24648167
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1881, 'group_counter': 5, 'group_order': 444672, 'label': '192J37', 'order': 192, 'powers': [1168, 764, 1881], 'representative': 1237, 'size': 193}
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id: 24648168
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1882, 'group_counter': 5, 'group_order': 444672, 'label': '192J-37', 'order': 192, 'powers': [1167, 763, 1882], 'representative': 227, 'size': 193}
-
id: 24648169
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1883, 'group_counter': 5, 'group_order': 444672, 'label': '192J41', 'order': 192, 'powers': [1171, 760, 1883], 'representative': 1529, 'size': 193}
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id: 24648170
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1884, 'group_counter': 5, 'group_order': 444672, 'label': '192J-41', 'order': 192, 'powers': [1172, 759, 1884], 'representative': 2239, 'size': 193}
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id: 24648171
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1885, 'group_counter': 5, 'group_order': 444672, 'label': '192J43', 'order': 192, 'powers': [1157, 758, 1885], 'representative': 1675, 'size': 193}
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id: 24648172
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1886, 'group_counter': 5, 'group_order': 444672, 'label': '192J-43', 'order': 192, 'powers': [1158, 757, 1886], 'representative': 2093, 'size': 193}
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id: 24648173
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1887, 'group_counter': 5, 'group_order': 444672, 'label': '192J47', 'order': 192, 'powers': [1178, 754, 1887], 'representative': 1967, 'size': 193}
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id: 24648174
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1888, 'group_counter': 5, 'group_order': 444672, 'label': '192J-47', 'order': 192, 'powers': [1177, 753, 1888], 'representative': 1801, 'size': 193}
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id: 24648175
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1889, 'group_counter': 5, 'group_order': 444672, 'label': '192J49', 'order': 192, 'powers': [1177, 752, 1889], 'representative': 649, 'size': 193}
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id: 24648177
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1890, 'group_counter': 5, 'group_order': 444672, 'label': '192J-49', 'order': 192, 'powers': [1178, 751, 1890], 'representative': 815, 'size': 193}
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id: 24648178
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1891, 'group_counter': 5, 'group_order': 444672, 'label': '192J53', 'order': 192, 'powers': [1158, 748, 1891], 'representative': 941, 'size': 193}
-
id: 24648179
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1892, 'group_counter': 5, 'group_order': 444672, 'label': '192J-53', 'order': 192, 'powers': [1157, 747, 1892], 'representative': 523, 'size': 193}
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id: 24648180
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1893, 'group_counter': 5, 'group_order': 444672, 'label': '192J55', 'order': 192, 'powers': [1172, 746, 1893], 'representative': 1087, 'size': 193}
-
id: 24648181
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1894, 'group_counter': 5, 'group_order': 444672, 'label': '192J-55', 'order': 192, 'powers': [1171, 745, 1894], 'representative': 377, 'size': 193}
-
id: 24648182
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1895, 'group_counter': 5, 'group_order': 444672, 'label': '192J59', 'order': 192, 'powers': [1167, 742, 1895], 'representative': 1379, 'size': 193}
-
id: 24648183
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1896, 'group_counter': 5, 'group_order': 444672, 'label': '192J-59', 'order': 192, 'powers': [1168, 741, 1896], 'representative': 85, 'size': 193}
-
id: 24648184
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1897, 'group_counter': 5, 'group_order': 444672, 'label': '192J61', 'order': 192, 'powers': [1153, 740, 1897], 'representative': 1525, 'size': 193}
-
id: 24648185
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1898, 'group_counter': 5, 'group_order': 444672, 'label': '192J-61', 'order': 192, 'powers': [1154, 739, 1898], 'representative': 2243, 'size': 193}
-
id: 24648186
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1899, 'group_counter': 5, 'group_order': 444672, 'label': '192J65', 'order': 192, 'powers': [1182, 737, 1899], 'representative': 1817, 'size': 193}
-
id: 24648189
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1900, 'group_counter': 5, 'group_order': 444672, 'label': '192J-65', 'order': 192, 'powers': [1181, 738, 1900], 'representative': 1951, 'size': 193}
-
id: 24648190
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1901, 'group_counter': 5, 'group_order': 444672, 'label': '192J67', 'order': 192, 'powers': [1173, 739, 1901], 'representative': 1963, 'size': 193}
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id: 24648191
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1902, 'group_counter': 5, 'group_order': 444672, 'label': '192J-67', 'order': 192, 'powers': [1174, 740, 1902], 'representative': 1805, 'size': 193}
-
id: 24648192
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1903, 'group_counter': 5, 'group_order': 444672, 'label': '192J71', 'order': 192, 'powers': [1162, 743, 1903], 'representative': 2255, 'size': 193}
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id: 24648193
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1904, 'group_counter': 5, 'group_order': 444672, 'label': '192J-71', 'order': 192, 'powers': [1161, 744, 1904], 'representative': 1513, 'size': 193}
-
id: 24648194
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1905, 'group_counter': 5, 'group_order': 444672, 'label': '192J73', 'order': 192, 'powers': [1176, 745, 1905], 'representative': 937, 'size': 193}
-
id: 24648195
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1906, 'group_counter': 5, 'group_order': 444672, 'label': '192J-73', 'order': 192, 'powers': [1175, 746, 1906], 'representative': 527, 'size': 193}
-
id: 24648196
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1907, 'group_counter': 5, 'group_order': 444672, 'label': '192J77', 'order': 192, 'powers': [1163, 749, 1907], 'representative': 1229, 'size': 193}
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id: 24648197
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1908, 'group_counter': 5, 'group_order': 444672, 'label': '192J-77', 'order': 192, 'powers': [1164, 750, 1908], 'representative': 235, 'size': 193}
-
id: 24648198
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1909, 'group_counter': 5, 'group_order': 444672, 'label': '192J79', 'order': 192, 'powers': [1156, 751, 1909], 'representative': 1375, 'size': 193}
-
id: 24648200
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1910, 'group_counter': 5, 'group_order': 444672, 'label': '192J-79', 'order': 192, 'powers': [1155, 752, 1910], 'representative': 89, 'size': 193}
-
id: 24648201
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1911, 'group_counter': 5, 'group_order': 444672, 'label': '192J83', 'order': 192, 'powers': [1183, 755, 1911], 'representative': 1667, 'size': 193}
-
id: 24648202
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1912, 'group_counter': 5, 'group_order': 444672, 'label': '192J-83', 'order': 192, 'powers': [1184, 756, 1912], 'representative': 2101, 'size': 193}
-
id: 24648203
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 1913, 'group_counter': 5, 'group_order': 444672, 'label': '192J85', 'order': 192, 'powers': [1169, 757, 1913], 'representative': 1813, 'size': 193}
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id: 24648204
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 1914, 'group_counter': 5, 'group_order': 444672, 'label': '192J-85', 'order': 192, 'powers': [1170, 758, 1914], 'representative': 1955, 'size': 193}
-
id: 24648205
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 1915, 'group_counter': 5, 'group_order': 444672, 'label': '192J89', 'order': 192, 'powers': [1166, 761, 1915], 'representative': 2105, 'size': 193}
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id: 24648206
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 1916, 'group_counter': 5, 'group_order': 444672, 'label': '192J-89', 'order': 192, 'powers': [1165, 762, 1916], 'representative': 1663, 'size': 193}
-
id: 24648207
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 1917, 'group_counter': 5, 'group_order': 444672, 'label': '192J91', 'order': 192, 'powers': [1180, 763, 1917], 'representative': 2251, 'size': 193}
-
id: 24648208
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 1918, 'group_counter': 5, 'group_order': 444672, 'label': '192J-91', 'order': 192, 'powers': [1179, 764, 1918], 'representative': 1517, 'size': 193}
-
id: 24648209
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 1919, 'group_counter': 5, 'group_order': 444672, 'label': '192J95', 'order': 192, 'powers': [1159, 767, 1919], 'representative': 239, 'size': 193}
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id: 24648211
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 1920, 'group_counter': 5, 'group_order': 444672, 'label': '192J-95', 'order': 192, 'powers': [1160, 768, 1920], 'representative': 1225, 'size': 193}
-
id: 24648212
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1921, 'group_counter': 5, 'group_order': 444672, 'label': '192K1', 'order': 192, 'powers': [1217, 649, 1921], 'representative': 777, 'size': 193}
-
id: 24648213
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1922, 'group_counter': 5, 'group_order': 444672, 'label': '192K-1', 'order': 192, 'powers': [1218, 650, 1922], 'representative': 687, 'size': 193}
-
id: 24648214
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1923, 'group_counter': 5, 'group_order': 444672, 'label': '192K5', 'order': 192, 'powers': [1219, 660, 1923], 'representative': 117, 'size': 193}
-
id: 24648215
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1924, 'group_counter': 5, 'group_order': 444672, 'label': '192K-5', 'order': 192, 'powers': [1220, 659, 1924], 'representative': 1347, 'size': 193}
-
id: 24648216
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1925, 'group_counter': 5, 'group_order': 444672, 'label': '192K7', 'order': 192, 'powers': [1221, 642, 1925], 'representative': 207, 'size': 193}
-
id: 24648217
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1926, 'group_counter': 5, 'group_order': 444672, 'label': '192K-7', 'order': 192, 'powers': [1222, 641, 1926], 'representative': 1257, 'size': 193}
-
id: 24648218
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1927, 'group_counter': 5, 'group_order': 444672, 'label': '192K11', 'order': 192, 'powers': [1223, 670, 1927], 'representative': 387, 'size': 193}
-
id: 24648219
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1928, 'group_counter': 5, 'group_order': 444672, 'label': '192K-11', 'order': 192, 'powers': [1224, 669, 1928], 'representative': 1077, 'size': 193}
-
id: 24648220
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1929, 'group_counter': 5, 'group_order': 444672, 'label': '192K13', 'order': 192, 'powers': [1225, 652, 1929], 'representative': 1941, 'size': 193}
-
id: 24648222
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1930, 'group_counter': 5, 'group_order': 444672, 'label': '192K-13', 'order': 192, 'powers': [1226, 651, 1930], 'representative': 1827, 'size': 193}
-
id: 24648223
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1931, 'group_counter': 5, 'group_order': 444672, 'label': '192K17', 'order': 192, 'powers': [1227, 665, 1931], 'representative': 2121, 'size': 193}
-
id: 24648224
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1932, 'group_counter': 5, 'group_order': 444672, 'label': '192K-17', 'order': 192, 'powers': [1228, 666, 1932], 'representative': 1647, 'size': 193}
-
id: 24648225
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1933, 'group_counter': 5, 'group_order': 444672, 'label': '192K19', 'order': 192, 'powers': [1229, 662, 1933], 'representative': 2211, 'size': 193}
-
id: 24648226
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1934, 'group_counter': 5, 'group_order': 444672, 'label': '192K-19', 'order': 192, 'powers': [1230, 661, 1934], 'representative': 1557, 'size': 193}
-
id: 24648227
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1935, 'group_counter': 5, 'group_order': 444672, 'label': '192K23', 'order': 192, 'powers': [1231, 655, 1935], 'representative': 1551, 'size': 193}
-
id: 24648228
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1936, 'group_counter': 5, 'group_order': 444672, 'label': '192K-23', 'order': 192, 'powers': [1232, 656, 1936], 'representative': 2217, 'size': 193}
-
id: 24648229
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1937, 'group_counter': 5, 'group_order': 444672, 'label': '192K25', 'order': 192, 'powers': [1233, 672, 1937], 'representative': 1641, 'size': 193}
-
id: 24648230
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1938, 'group_counter': 5, 'group_order': 444672, 'label': '192K-25', 'order': 192, 'powers': [1234, 671, 1938], 'representative': 2127, 'size': 193}
-
id: 24648231
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1939, 'group_counter': 5, 'group_order': 444672, 'label': '192K29', 'order': 192, 'powers': [1235, 645, 1939], 'representative': 981, 'size': 193}
-
id: 24648233
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1940, 'group_counter': 5, 'group_order': 444672, 'label': '192K-29', 'order': 192, 'powers': [1236, 646, 1940], 'representative': 483, 'size': 193}
-
id: 24648234
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1941, 'group_counter': 5, 'group_order': 444672, 'label': '192K31', 'order': 192, 'powers': [1237, 663, 1941], 'representative': 1071, 'size': 193}
-
id: 24648235
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1942, 'group_counter': 5, 'group_order': 444672, 'label': '192K-31', 'order': 192, 'powers': [1238, 664, 1942], 'representative': 393, 'size': 193}
-
id: 24648236
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1943, 'group_counter': 5, 'group_order': 444672, 'label': '192K35', 'order': 192, 'powers': [1239, 646, 1943], 'representative': 1251, 'size': 193}
-
id: 24648237
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1944, 'group_counter': 5, 'group_order': 444672, 'label': '192K-35', 'order': 192, 'powers': [1240, 645, 1944], 'representative': 213, 'size': 193}
-
id: 24648238
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1945, 'group_counter': 5, 'group_order': 444672, 'label': '192K37', 'order': 192, 'powers': [1241, 653, 1945], 'representative': 501, 'size': 193}
-
id: 24648239
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1946, 'group_counter': 5, 'group_order': 444672, 'label': '192K-37', 'order': 192, 'powers': [1242, 654, 1946], 'representative': 963, 'size': 193}
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id: 24648240
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1947, 'group_counter': 5, 'group_order': 444672, 'label': '192K41', 'order': 192, 'powers': [1243, 656, 1947], 'representative': 681, 'size': 193}
-
id: 24648241
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1948, 'group_counter': 5, 'group_order': 444672, 'label': '192K-41', 'order': 192, 'powers': [1244, 655, 1948], 'representative': 783, 'size': 193}
-
id: 24648242
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1949, 'group_counter': 5, 'group_order': 444672, 'label': '192K43', 'order': 192, 'powers': [1245, 643, 1949], 'representative': 771, 'size': 193}
-
id: 24648244
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1950, 'group_counter': 5, 'group_order': 444672, 'label': '192K-43', 'order': 192, 'powers': [1246, 644, 1950], 'representative': 693, 'size': 193}
-
id: 24648245
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1951, 'group_counter': 5, 'group_order': 444672, 'label': '192K47', 'order': 192, 'powers': [1247, 666, 1951], 'representative': 111, 'size': 193}
-
id: 24648246
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1952, 'group_counter': 5, 'group_order': 444672, 'label': '192K-47', 'order': 192, 'powers': [1248, 665, 1952], 'representative': 1353, 'size': 193}
-
id: 24648247
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1953, 'group_counter': 5, 'group_order': 444672, 'label': '192K49', 'order': 192, 'powers': [1248, 648, 1953], 'representative': 201, 'size': 193}
-
id: 24648248
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1954, 'group_counter': 5, 'group_order': 444672, 'label': '192K-49', 'order': 192, 'powers': [1247, 647, 1954], 'representative': 1263, 'size': 193}
-
id: 24648249
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1955, 'group_counter': 5, 'group_order': 444672, 'label': '192K53', 'order': 192, 'powers': [1246, 669, 1955], 'representative': 1845, 'size': 193}
-
id: 24648250
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1956, 'group_counter': 5, 'group_order': 444672, 'label': '192K-53', 'order': 192, 'powers': [1245, 670, 1956], 'representative': 1923, 'size': 193}
-
id: 24648251
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1957, 'group_counter': 5, 'group_order': 444672, 'label': '192K55', 'order': 192, 'powers': [1244, 658, 1957], 'representative': 1935, 'size': 193}
-
id: 24648252
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1958, 'group_counter': 5, 'group_order': 444672, 'label': '192K-55', 'order': 192, 'powers': [1243, 657, 1958], 'representative': 1833, 'size': 193}
-
id: 24648253
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1959, 'group_counter': 5, 'group_order': 444672, 'label': '192K59', 'order': 192, 'powers': [1242, 659, 1959], 'representative': 2115, 'size': 193}
-
id: 24648255
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1960, 'group_counter': 5, 'group_order': 444672, 'label': '192K-59', 'order': 192, 'powers': [1241, 660, 1960], 'representative': 1653, 'size': 193}
-
id: 24648256
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1961, 'group_counter': 5, 'group_order': 444672, 'label': '192K61', 'order': 192, 'powers': [1240, 668, 1961], 'representative': 1365, 'size': 193}
-
id: 24648257
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1962, 'group_counter': 5, 'group_order': 444672, 'label': '192K-61', 'order': 192, 'powers': [1239, 667, 1962], 'representative': 99, 'size': 193}
-
id: 24648258
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1963, 'group_counter': 5, 'group_order': 444672, 'label': '192K65', 'order': 192, 'powers': [1238, 649, 1963], 'representative': 1545, 'size': 193}
-
id: 24648259
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1964, 'group_counter': 5, 'group_order': 444672, 'label': '192K-65', 'order': 192, 'powers': [1237, 650, 1964], 'representative': 2223, 'size': 193}
-
id: 24648260
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1965, 'group_counter': 5, 'group_order': 444672, 'label': '192K67', 'order': 192, 'powers': [1236, 667, 1965], 'representative': 1635, 'size': 193}
-
id: 24648261
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1966, 'group_counter': 5, 'group_order': 444672, 'label': '192K-67', 'order': 192, 'powers': [1235, 668, 1966], 'representative': 2133, 'size': 193}
-
id: 24648262
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1967, 'group_counter': 5, 'group_order': 444672, 'label': '192K71', 'order': 192, 'powers': [1234, 642, 1967], 'representative': 975, 'size': 193}
-
id: 24648263
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1968, 'group_counter': 5, 'group_order': 444672, 'label': '192K-71', 'order': 192, 'powers': [1233, 641, 1968], 'representative': 489, 'size': 193}
-
id: 24648264
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1969, 'group_counter': 5, 'group_order': 444672, 'label': '192K73', 'order': 192, 'powers': [1232, 657, 1969], 'representative': 1065, 'size': 193}
-
id: 24648266
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1970, 'group_counter': 5, 'group_order': 444672, 'label': '192K-73', 'order': 192, 'powers': [1231, 658, 1970], 'representative': 399, 'size': 193}
-
id: 24648267
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1971, 'group_counter': 5, 'group_order': 444672, 'label': '192K77', 'order': 192, 'powers': [1230, 652, 1971], 'representative': 405, 'size': 193}
-
id: 24648268
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1972, 'group_counter': 5, 'group_order': 444672, 'label': '192K-77', 'order': 192, 'powers': [1229, 651, 1972], 'representative': 1059, 'size': 193}
-
id: 24648269
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1973, 'group_counter': 5, 'group_order': 444672, 'label': '192K79', 'order': 192, 'powers': [1228, 647, 1973], 'representative': 495, 'size': 193}
-
id: 24648270
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1974, 'group_counter': 5, 'group_order': 444672, 'label': '192K-79', 'order': 192, 'powers': [1227, 648, 1974], 'representative': 969, 'size': 193}
-
id: 24648271
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1975, 'group_counter': 5, 'group_order': 444672, 'label': '192K83', 'order': 192, 'powers': [1226, 662, 1975], 'representative': 675, 'size': 193}
-
id: 24648272
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1976, 'group_counter': 5, 'group_order': 444672, 'label': '192K-83', 'order': 192, 'powers': [1225, 661, 1976], 'representative': 789, 'size': 193}
-
id: 24648273
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1977, 'group_counter': 5, 'group_order': 444672, 'label': '192K85', 'order': 192, 'powers': [1224, 644, 1977], 'representative': 2229, 'size': 193}
-
id: 24648274
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1978, 'group_counter': 5, 'group_order': 444672, 'label': '192K-85', 'order': 192, 'powers': [1223, 643, 1978], 'representative': 1539, 'size': 193}
-
id: 24648275
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1979, 'group_counter': 5, 'group_order': 444672, 'label': '192K89', 'order': 192, 'powers': [1222, 672, 1979], 'representative': 105, 'size': 193}
-
id: 24648277
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1980, 'group_counter': 5, 'group_order': 444672, 'label': '192K-89', 'order': 192, 'powers': [1221, 671, 1980], 'representative': 1359, 'size': 193}
-
id: 24648278
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1981, 'group_counter': 5, 'group_order': 444672, 'label': '192K91', 'order': 192, 'powers': [1220, 654, 1981], 'representative': 195, 'size': 193}
-
id: 24648279
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1982, 'group_counter': 5, 'group_order': 444672, 'label': '192K-91', 'order': 192, 'powers': [1219, 653, 1982], 'representative': 1269, 'size': 193}
-
id: 24648280
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1983, 'group_counter': 5, 'group_order': 444672, 'label': '192K95', 'order': 192, 'powers': [1218, 663, 1983], 'representative': 1839, 'size': 193}
-
id: 24648281
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1984, 'group_counter': 5, 'group_order': 444672, 'label': '192K-95', 'order': 192, 'powers': [1217, 664, 1984], 'representative': 1929, 'size': 193}
-
id: 24648282
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1985, 'group_counter': 5, 'group_order': 444672, 'label': '192L1', 'order': 192, 'powers': [1225, 696, 1985], 'representative': 57, 'size': 193}
-
id: 24648283
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1986, 'group_counter': 5, 'group_order': 444672, 'label': '192L-1', 'order': 192, 'powers': [1226, 695, 1986], 'representative': 1407, 'size': 193}
-
id: 24648284
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1987, 'group_counter': 5, 'group_order': 444672, 'label': '192L5', 'order': 192, 'powers': [1238, 685, 1987], 'representative': 1125, 'size': 193}
-
id: 24648285
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1988, 'group_counter': 5, 'group_order': 444672, 'label': '192L-5', 'order': 192, 'powers': [1237, 686, 1988], 'representative': 339, 'size': 193}
-
id: 24648286
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1989, 'group_counter': 5, 'group_order': 444672, 'label': '192L7', 'order': 192, 'powers': [1220, 703, 1989], 'representative': 2079, 'size': 193}
-
id: 24648288
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1990, 'group_counter': 5, 'group_order': 444672, 'label': '192L-7', 'order': 192, 'powers': [1219, 704, 1990], 'representative': 1689, 'size': 193}
-
id: 24648289
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1991, 'group_counter': 5, 'group_order': 444672, 'label': '192L11', 'order': 192, 'powers': [1247, 675, 1991], 'representative': 1683, 'size': 193}
-
id: 24648290
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1992, 'group_counter': 5, 'group_order': 444672, 'label': '192L-11', 'order': 192, 'powers': [1248, 676, 1992], 'representative': 2085, 'size': 193}
-
id: 24648291
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1993, 'group_counter': 5, 'group_order': 444672, 'label': '192L13', 'order': 192, 'powers': [1232, 693, 1993], 'representative': 1797, 'size': 193}
-
id: 24648292
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1994, 'group_counter': 5, 'group_order': 444672, 'label': '192L-13', 'order': 192, 'powers': [1231, 694, 1994], 'representative': 1971, 'size': 193}
-
id: 24648293
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 1995, 'group_counter': 5, 'group_order': 444672, 'label': '192L17', 'order': 192, 'powers': [1235, 680, 1995], 'representative': 1401, 'size': 193}
-
id: 24648294
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1996, 'group_counter': 5, 'group_order': 444672, 'label': '192L-17', 'order': 192, 'powers': [1236, 679, 1996], 'representative': 63, 'size': 193}
-
id: 24648295
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 1997, 'group_counter': 5, 'group_order': 444672, 'label': '192L19', 'order': 192, 'powers': [1244, 683, 1997], 'representative': 51, 'size': 193}
-
id: 24648296
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 1998, 'group_counter': 5, 'group_order': 444672, 'label': '192L-19', 'order': 192, 'powers': [1243, 684, 1998], 'representative': 1413, 'size': 193}
-
id: 24648297
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 1999, 'group_counter': 5, 'group_order': 444672, 'label': '192L23', 'order': 192, 'powers': [1223, 690, 1999], 'representative': 1119, 'size': 193}
-
id: 24648301
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2000, 'group_counter': 5, 'group_order': 444672, 'label': '192L-23', 'order': 192, 'powers': [1224, 689, 2000], 'representative': 345, 'size': 193}
-
id: 24648302
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2001, 'group_counter': 5, 'group_order': 444672, 'label': '192L25', 'order': 192, 'powers': [1241, 673, 2001], 'representative': 2073, 'size': 193}
-
id: 24648303
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2002, 'group_counter': 5, 'group_order': 444672, 'label': '192L-25', 'order': 192, 'powers': [1242, 674, 2002], 'representative': 1695, 'size': 193}
-
id: 24648304
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2003, 'group_counter': 5, 'group_order': 444672, 'label': '192L29', 'order': 192, 'powers': [1222, 700, 2003], 'representative': 837, 'size': 193}
-
id: 24648305
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2004, 'group_counter': 5, 'group_order': 444672, 'label': '192L-29', 'order': 192, 'powers': [1221, 699, 2004], 'representative': 627, 'size': 193}
-
id: 24648306
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2005, 'group_counter': 5, 'group_order': 444672, 'label': '192L31', 'order': 192, 'powers': [1229, 682, 2005], 'representative': 1791, 'size': 193}
-
id: 24648307
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2006, 'group_counter': 5, 'group_order': 444672, 'label': '192L-31', 'order': 192, 'powers': [1230, 681, 2006], 'representative': 1977, 'size': 193}
-
id: 24648308
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2007, 'group_counter': 5, 'group_order': 444672, 'label': '192L35', 'order': 192, 'powers': [1234, 699, 2007], 'representative': 1395, 'size': 193}
-
id: 24648309
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2008, 'group_counter': 5, 'group_order': 444672, 'label': '192L-35', 'order': 192, 'powers': [1233, 700, 2008], 'representative': 69, 'size': 193}
-
id: 24648310
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2009, 'group_counter': 5, 'group_order': 444672, 'label': '192L37', 'order': 192, 'powers': [1217, 692, 2009], 'representative': 1509, 'size': 193}
-
id: 24648312
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2010, 'group_counter': 5, 'group_order': 444672, 'label': '192L-37', 'order': 192, 'powers': [1218, 691, 2010], 'representative': 2259, 'size': 193}
-
id: 24648313
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2011, 'group_counter': 5, 'group_order': 444672, 'label': '192L41', 'order': 192, 'powers': [1246, 689, 2011], 'representative': 1113, 'size': 193}
-
id: 24648314
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2012, 'group_counter': 5, 'group_order': 444672, 'label': '192L-41', 'order': 192, 'powers': [1245, 690, 2012], 'representative': 351, 'size': 193}
-
id: 24648315
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2013, 'group_counter': 5, 'group_order': 444672, 'label': '192L43', 'order': 192, 'powers': [1228, 702, 2013], 'representative': 2067, 'size': 193}
-
id: 24648316
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2014, 'group_counter': 5, 'group_order': 444672, 'label': '192L-43', 'order': 192, 'powers': [1227, 701, 2014], 'representative': 1701, 'size': 193}
-
id: 24648317
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2015, 'group_counter': 5, 'group_order': 444672, 'label': '192L47', 'order': 192, 'powers': [1239, 679, 2015], 'representative': 831, 'size': 193}
-
id: 24648318
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2016, 'group_counter': 5, 'group_order': 444672, 'label': '192L-47', 'order': 192, 'powers': [1240, 680, 2016], 'representative': 633, 'size': 193}
-
id: 24648319
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2017, 'group_counter': 5, 'group_order': 444672, 'label': '192L49', 'order': 192, 'powers': [1240, 697, 2017], 'representative': 1785, 'size': 193}
-
id: 24648320
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2018, 'group_counter': 5, 'group_order': 444672, 'label': '192L-49', 'order': 192, 'powers': [1239, 698, 2018], 'representative': 1983, 'size': 193}
-
id: 24648321
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2019, 'group_counter': 5, 'group_order': 444672, 'label': '192L53', 'order': 192, 'powers': [1227, 676, 2019], 'representative': 549, 'size': 193}
-
id: 24648323
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2020, 'group_counter': 5, 'group_order': 444672, 'label': '192L-53', 'order': 192, 'powers': [1228, 675, 2020], 'representative': 915, 'size': 193}
-
id: 24648324
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2021, 'group_counter': 5, 'group_order': 444672, 'label': '192L55', 'order': 192, 'powers': [1245, 687, 2021], 'representative': 1503, 'size': 193}
-
id: 24648325
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2022, 'group_counter': 5, 'group_order': 444672, 'label': '192L-55', 'order': 192, 'powers': [1246, 688, 2022], 'representative': 2265, 'size': 193}
-
id: 24648326
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2023, 'group_counter': 5, 'group_order': 444672, 'label': '192L59', 'order': 192, 'powers': [1218, 686, 2023], 'representative': 1107, 'size': 193}
-
id: 24648327
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2024, 'group_counter': 5, 'group_order': 444672, 'label': '192L-59', 'order': 192, 'powers': [1217, 685, 2024], 'representative': 357, 'size': 193}
-
id: 24648328
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2025, 'group_counter': 5, 'group_order': 444672, 'label': '192L61', 'order': 192, 'powers': [1233, 677, 2025], 'representative': 1221, 'size': 193}
-
id: 24648329
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2026, 'group_counter': 5, 'group_order': 444672, 'label': '192L-61', 'order': 192, 'powers': [1234, 678, 2026], 'representative': 243, 'size': 193}
-
id: 24648330
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2027, 'group_counter': 5, 'group_order': 444672, 'label': '192L65', 'order': 192, 'powers': [1230, 696, 2027], 'representative': 825, 'size': 193}
-
id: 24648331
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2028, 'group_counter': 5, 'group_order': 444672, 'label': '192L-65', 'order': 192, 'powers': [1229, 695, 2028], 'representative': 639, 'size': 193}
-
id: 24648332
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2029, 'group_counter': 5, 'group_order': 444672, 'label': '192L67', 'order': 192, 'powers': [1221, 678, 2029], 'representative': 1779, 'size': 193}
-
id: 24648334
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2030, 'group_counter': 5, 'group_order': 444672, 'label': '192L-67', 'order': 192, 'powers': [1222, 677, 2030], 'representative': 1989, 'size': 193}
-
id: 24648335
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2031, 'group_counter': 5, 'group_order': 444672, 'label': '192L71', 'order': 192, 'powers': [1242, 703, 2031], 'representative': 543, 'size': 193}
-
id: 24648336
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2032, 'group_counter': 5, 'group_order': 444672, 'label': '192L-71', 'order': 192, 'powers': [1241, 704, 2032], 'representative': 921, 'size': 193}
-
id: 24648337
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2033, 'group_counter': 5, 'group_order': 444672, 'label': '192L73', 'order': 192, 'powers': [1224, 688, 2033], 'representative': 1497, 'size': 193}
-
id: 24648338
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2034, 'group_counter': 5, 'group_order': 444672, 'label': '192L-73', 'order': 192, 'powers': [1223, 687, 2034], 'representative': 2271, 'size': 193}
-
id: 24648339
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2035, 'group_counter': 5, 'group_order': 444672, 'label': '192L77', 'order': 192, 'powers': [1243, 693, 2035], 'representative': 261, 'size': 193}
-
id: 24648340
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2036, 'group_counter': 5, 'group_order': 444672, 'label': '192L-77', 'order': 192, 'powers': [1244, 694, 2036], 'representative': 1203, 'size': 193}
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id: 24648360
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id: 24648365
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id: 24648367
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id: 24648368
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id: 24648369
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id: 24648370
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id: 24648371
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id: 24648372
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id: 24648373
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id: 24648374
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id: 24648375
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id: 24648376
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id: 24648381
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id: 24648382
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id: 24648383
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id: 24648384
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id: 24648385
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id: 24648386
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id: 24648387
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id: 24648389
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id: 24648390
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id: 24648391
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id: 24648392
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id: 24648393
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id: 24648394
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id: 24648395
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id: 24648396
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id: 24648397
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id: 24648398
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id: 24648400
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id: 24648401
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id: 24648402
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id: 24648403
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id: 24648404
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id: 24648405
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id: 24648406
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id: 24648407
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id: 24648408
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id: 24648409
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id: 24648412
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id: 24648413
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id: 24648414
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id: 24648415
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id: 24648416
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id: 24648417
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id: 24648418
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id: 24648419
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id: 24648420
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id: 24648421
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id: 24648423
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id: 24648424
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id: 24648425
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id: 24648426
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id: 24648427
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id: 24648428
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id: 24648429
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id: 24648430
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id: 24648431
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id: 24648432
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id: 24648434
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id: 24648435
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id: 24648436
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id: 24648437
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2123, 'group_counter': 5, 'group_order': 444672, 'label': '192N17', 'order': 192, 'powers': [1263, 766, 2123], 'representative': 2139, 'size': 193}
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id: 24648438
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id: 24648439
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2125, 'group_counter': 5, 'group_order': 444672, 'label': '192N19', 'order': 192, 'powers': [1273, 745, 2125], 'representative': 2193, 'size': 193}
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id: 24648440
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2126, 'group_counter': 5, 'group_order': 444672, 'label': '192N-19', 'order': 192, 'powers': [1274, 746, 2126], 'representative': 1575, 'size': 193}
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id: 24648441
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2127, 'group_counter': 5, 'group_order': 444672, 'label': '192N23', 'order': 192, 'powers': [1270, 757, 2127], 'representative': 2301, 'size': 193}
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id: 24648442
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2128, 'group_counter': 5, 'group_order': 444672, 'label': '192N-23', 'order': 192, 'powers': [1269, 758, 2128], 'representative': 1467, 'size': 193}
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id: 24648443
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2129, 'group_counter': 5, 'group_order': 444672, 'label': '192N25', 'order': 192, 'powers': [1260, 742, 2129], 'representative': 891, 'size': 193}
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id: 24648445
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2130, 'group_counter': 5, 'group_order': 444672, 'label': '192N-25', 'order': 192, 'powers': [1259, 741, 2130], 'representative': 573, 'size': 193}
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id: 24648446
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2131, 'group_counter': 5, 'group_order': 444672, 'label': '192N29', 'order': 192, 'powers': [1255, 743, 2131], 'representative': 999, 'size': 193}
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id: 24648447
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2132, 'group_counter': 5, 'group_order': 444672, 'label': '192N-29', 'order': 192, 'powers': [1256, 744, 2132], 'representative': 465, 'size': 193}
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id: 24648448
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2133, 'group_counter': 5, 'group_order': 444672, 'label': '192N31', 'order': 192, 'powers': [1265, 756, 2133], 'representative': 1053, 'size': 193}
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id: 24648449
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2134, 'group_counter': 5, 'group_order': 444672, 'label': '192N-31', 'order': 192, 'powers': [1266, 755, 2134], 'representative': 411, 'size': 193}
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id: 24648450
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2135, 'group_counter': 5, 'group_order': 444672, 'label': '192N35', 'order': 192, 'powers': [1278, 744, 2135], 'representative': 2001, 'size': 193}
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id: 24648451
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2136, 'group_counter': 5, 'group_order': 444672, 'label': '192N-35', 'order': 192, 'powers': [1277, 743, 2136], 'representative': 1767, 'size': 193}
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id: 24648452
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2137, 'group_counter': 5, 'group_order': 444672, 'label': '192N37', 'order': 192, 'powers': [1268, 767, 2137], 'representative': 2055, 'size': 193}
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id: 24648453
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2138, 'group_counter': 5, 'group_order': 444672, 'label': '192N-37', 'order': 192, 'powers': [1267, 768, 2138], 'representative': 1713, 'size': 193}
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id: 24648454
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2139, 'group_counter': 5, 'group_order': 444672, 'label': '192N41', 'order': 192, 'powers': [1250, 758, 2139], 'representative': 699, 'size': 193}
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id: 24648456
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2140, 'group_counter': 5, 'group_order': 444672, 'label': '192N-41', 'order': 192, 'powers': [1249, 757, 2140], 'representative': 765, 'size': 193}
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id: 24648457
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2141, 'group_counter': 5, 'group_order': 444672, 'label': '192N43', 'order': 192, 'powers': [1257, 753, 2141], 'representative': 753, 'size': 193}
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id: 24648458
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2142, 'group_counter': 5, 'group_order': 444672, 'label': '192N-43', 'order': 192, 'powers': [1258, 754, 2142], 'representative': 711, 'size': 193}
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id: 24648459
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2143, 'group_counter': 5, 'group_order': 444672, 'label': '192N47', 'order': 192, 'powers': [1275, 765, 2143], 'representative': 861, 'size': 193}
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id: 24648460
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2144, 'group_counter': 5, 'group_order': 444672, 'label': '192N-47', 'order': 192, 'powers': [1276, 766, 2144], 'representative': 603, 'size': 193}
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id: 24648461
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2145, 'group_counter': 5, 'group_order': 444672, 'label': '192N49', 'order': 192, 'powers': [1276, 739, 2145], 'representative': 1755, 'size': 193}
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id: 24648462
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2146, 'group_counter': 5, 'group_order': 444672, 'label': '192N-49', 'order': 192, 'powers': [1275, 740, 2146], 'representative': 2013, 'size': 193}
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id: 24648463
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2147, 'group_counter': 5, 'group_order': 444672, 'label': '192N53', 'order': 192, 'powers': [1258, 751, 2147], 'representative': 1863, 'size': 193}
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id: 24648464
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2148, 'group_counter': 5, 'group_order': 444672, 'label': '192N-53', 'order': 192, 'powers': [1257, 752, 2148], 'representative': 1905, 'size': 193}
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id: 24648465
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2149, 'group_counter': 5, 'group_order': 444672, 'label': '192N55', 'order': 192, 'powers': [1249, 748, 2149], 'representative': 1917, 'size': 193}
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id: 24648467
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2150, 'group_counter': 5, 'group_order': 444672, 'label': '192N-55', 'order': 192, 'powers': [1250, 747, 2150], 'representative': 1851, 'size': 193}
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id: 24648468
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2151, 'group_counter': 5, 'group_order': 444672, 'label': '192N59', 'order': 192, 'powers': [1267, 737, 2151], 'representative': 561, 'size': 193}
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id: 24648469
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2152, 'group_counter': 5, 'group_order': 444672, 'label': '192N-59', 'order': 192, 'powers': [1268, 738, 2152], 'representative': 903, 'size': 193}
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id: 24648470
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2153, 'group_counter': 5, 'group_order': 444672, 'label': '192N61', 'order': 192, 'powers': [1277, 762, 2153], 'representative': 615, 'size': 193}
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id: 24648471
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2154, 'group_counter': 5, 'group_order': 444672, 'label': '192N-61', 'order': 192, 'powers': [1278, 761, 2154], 'representative': 849, 'size': 193}
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id: 24648472
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2155, 'group_counter': 5, 'group_order': 444672, 'label': '192N65', 'order': 192, 'powers': [1266, 750, 2155], 'representative': 1563, 'size': 193}
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id: 24648473
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2156, 'group_counter': 5, 'group_order': 444672, 'label': '192N-65', 'order': 192, 'powers': [1265, 749, 2156], 'representative': 2205, 'size': 193}
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id: 24648474
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2157, 'group_counter': 5, 'group_order': 444672, 'label': '192N67', 'order': 192, 'powers': [1256, 761, 2157], 'representative': 1617, 'size': 193}
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id: 24648475
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2158, 'group_counter': 5, 'group_order': 444672, 'label': '192N-67', 'order': 192, 'powers': [1255, 762, 2158], 'representative': 2151, 'size': 193}
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id: 24648476
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2159, 'group_counter': 5, 'group_order': 444672, 'label': '192N71', 'order': 192, 'powers': [1259, 764, 2159], 'representative': 1725, 'size': 193}
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id: 24648478
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2160, 'group_counter': 5, 'group_order': 444672, 'label': '192N-71', 'order': 192, 'powers': [1260, 763, 2160], 'representative': 2043, 'size': 193}
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id: 24648479
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2161, 'group_counter': 5, 'group_order': 444672, 'label': '192N73', 'order': 192, 'powers': [1269, 747, 2161], 'representative': 315, 'size': 193}
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id: 24648480
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2162, 'group_counter': 5, 'group_order': 444672, 'label': '192N-73', 'order': 192, 'powers': [1270, 748, 2162], 'representative': 1149, 'size': 193}
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id: 24648481
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2163, 'group_counter': 5, 'group_order': 444672, 'label': '192N77', 'order': 192, 'powers': [1274, 759, 2163], 'representative': 423, 'size': 193}
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id: 24648482
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2164, 'group_counter': 5, 'group_order': 444672, 'label': '192N-77', 'order': 192, 'powers': [1273, 760, 2164], 'representative': 1041, 'size': 193}
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id: 24648483
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2165, 'group_counter': 5, 'group_order': 444672, 'label': '192N79', 'order': 192, 'powers': [1264, 740, 2165], 'representative': 477, 'size': 193}
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id: 24648484
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2166, 'group_counter': 5, 'group_order': 444672, 'label': '192N-79', 'order': 192, 'powers': [1263, 739, 2166], 'representative': 987, 'size': 193}
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id: 24648485
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2167, 'group_counter': 5, 'group_order': 444672, 'label': '192N83', 'order': 192, 'powers': [1251, 745, 2167], 'representative': 1425, 'size': 193}
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id: 24648486
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2168, 'group_counter': 5, 'group_order': 444672, 'label': '192N-83', 'order': 192, 'powers': [1252, 746, 2168], 'representative': 39, 'size': 193}
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id: 24648487
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2169, 'group_counter': 5, 'group_order': 444672, 'label': '192N85', 'order': 192, 'powers': [1261, 754, 2169], 'representative': 1479, 'size': 193}
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id: 24648489
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2170, 'group_counter': 5, 'group_order': 444672, 'label': '192N-85', 'order': 192, 'powers': [1262, 753, 2170], 'representative': 2289, 'size': 193}
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id: 24648490
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2171, 'group_counter': 5, 'group_order': 444672, 'label': '192N89', 'order': 192, 'powers': [1279, 742, 2171], 'representative': 123, 'size': 193}
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id: 24648491
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2172, 'group_counter': 5, 'group_order': 444672, 'label': '192N-89', 'order': 192, 'powers': [1280, 741, 2172], 'representative': 1341, 'size': 193}
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id: 24648492
{'aut_label': '192K1', 'centralizer': '193.a1', 'counter': 2173, 'group_counter': 5, 'group_order': 444672, 'label': '192N91', 'order': 192, 'powers': [1272, 768, 2173], 'representative': 177, 'size': 193}
-
id: 24648493
{'aut_label': '192K-1', 'centralizer': '193.a1', 'counter': 2174, 'group_counter': 5, 'group_order': 444672, 'label': '192N-91', 'order': 192, 'powers': [1271, 767, 2174], 'representative': 1287, 'size': 193}
-
id: 24648494
{'aut_label': '192K5', 'centralizer': '193.a1', 'counter': 2175, 'group_counter': 5, 'group_order': 444672, 'label': '192N95', 'order': 192, 'powers': [1254, 756, 2175], 'representative': 285, 'size': 193}
-
id: 24648495
{'aut_label': '192K-5', 'centralizer': '193.a1', 'counter': 2176, 'group_counter': 5, 'group_order': 444672, 'label': '192N-95', 'order': 192, 'powers': [1253, 755, 2176], 'representative': 1179, 'size': 193}
-
id: 24648496
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 2177, 'group_counter': 5, 'group_order': 444672, 'label': '192O1', 'order': 192, 'powers': [1192, 737, 2177], 'representative': 841, 'size': 193}
-
id: 24648497
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 2178, 'group_counter': 5, 'group_order': 444672, 'label': '192O-1', 'order': 192, 'powers': [1191, 738, 2178], 'representative': 623, 'size': 193}
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id: 24648498
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 2179, 'group_counter': 5, 'group_order': 444672, 'label': '192O5', 'order': 192, 'powers': [1211, 741, 2179], 'representative': 1901, 'size': 193}
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id: 24648500
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 2180, 'group_counter': 5, 'group_order': 444672, 'label': '192O-5', 'order': 192, 'powers': [1212, 742, 2180], 'representative': 1867, 'size': 193}
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id: 24648501
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 2181, 'group_counter': 5, 'group_order': 444672, 'label': '192O7', 'order': 192, 'powers': [1197, 743, 2181], 'representative': 1279, 'size': 193}
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id: 24648502
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 2182, 'group_counter': 5, 'group_order': 444672, 'label': '192O-7', 'order': 192, 'powers': [1198, 744, 2182], 'representative': 185, 'size': 193}
-
id: 24648503
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 2183, 'group_counter': 5, 'group_order': 444672, 'label': '192O11', 'order': 192, 'powers': [1202, 747, 2183], 'representative': 35, 'size': 193}
-
id: 24648504
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 2184, 'group_counter': 5, 'group_order': 444672, 'label': '192O-11', 'order': 192, 'powers': [1201, 748, 2184], 'representative': 1429, 'size': 193}
-
id: 24648505
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 2185, 'group_counter': 5, 'group_order': 444672, 'label': '192O13', 'order': 192, 'powers': [1216, 749, 2185], 'representative': 1717, 'size': 193}
-
id: 24648506
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 2186, 'group_counter': 5, 'group_order': 444672, 'label': '192O-13', 'order': 192, 'powers': [1215, 750, 2186], 'representative': 2051, 'size': 193}
-
id: 24648507
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 2187, 'group_counter': 5, 'group_order': 444672, 'label': '192O17', 'order': 192, 'powers': [1187, 753, 2187], 'representative': 473, 'size': 193}
-
id: 24648508
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 2188, 'group_counter': 5, 'group_order': 444672, 'label': '192O-17', 'order': 192, 'powers': [1188, 754, 2188], 'representative': 991, 'size': 193}
-
id: 24648509
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 2189, 'group_counter': 5, 'group_order': 444672, 'label': '192O19', 'order': 192, 'powers': [1196, 755, 2189], 'representative': 2155, 'size': 193}
-
id: 24648511
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 2190, 'group_counter': 5, 'group_order': 444672, 'label': '192O-19', 'order': 192, 'powers': [1195, 756, 2190], 'representative': 1613, 'size': 193}
-
id: 24648512
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 2191, 'group_counter': 5, 'group_order': 444672, 'label': '192O23', 'order': 192, 'powers': [1207, 759, 2191], 'representative': 911, 'size': 193}
-
id: 24648513
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 2192, 'group_counter': 5, 'group_order': 444672, 'label': '192O-23', 'order': 192, 'powers': [1208, 760, 2192], 'representative': 553, 'size': 193}
-
id: 24648514
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 2193, 'group_counter': 5, 'group_order': 444672, 'label': '192O25', 'order': 192, 'powers': [1193, 761, 2193], 'representative': 1129, 'size': 193}
-
id: 24648515
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 2194, 'group_counter': 5, 'group_order': 444672, 'label': '192O-25', 'order': 192, 'powers': [1194, 762, 2194], 'representative': 335, 'size': 193}
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id: 24648516
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 2195, 'group_counter': 5, 'group_order': 444672, 'label': '192O29', 'order': 192, 'powers': [1206, 765, 2195], 'representative': 2189, 'size': 193}
-
id: 24648517
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 2196, 'group_counter': 5, 'group_order': 444672, 'label': '192O-29', 'order': 192, 'powers': [1205, 766, 2196], 'representative': 1579, 'size': 193}
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id: 24648518
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 2197, 'group_counter': 5, 'group_order': 444672, 'label': '192O31', 'order': 192, 'powers': [1213, 767, 2197], 'representative': 1567, 'size': 193}
-
id: 24648519
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 2198, 'group_counter': 5, 'group_order': 444672, 'label': '192O-31', 'order': 192, 'powers': [1214, 768, 2198], 'representative': 2201, 'size': 193}
-
id: 24648520
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 2199, 'group_counter': 5, 'group_order': 444672, 'label': '192O35', 'order': 192, 'powers': [1186, 766, 2199], 'representative': 323, 'size': 193}
-
id: 24648523
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 2200, 'group_counter': 5, 'group_order': 444672, 'label': '192O-35', 'order': 192, 'powers': [1185, 765, 2200], 'representative': 1141, 'size': 193}
-
id: 24648524
{'aut_label': '192A-11', 'centralizer': '193.a1', 'counter': 2201, 'group_counter': 5, 'group_order': 444672, 'label': '192O37', 'order': 192, 'powers': [1200, 764, 2201], 'representative': 2005, 'size': 193}
-
id: 24648525
{'aut_label': '192A11', 'centralizer': '193.a1', 'counter': 2202, 'group_counter': 5, 'group_order': 444672, 'label': '192O-37', 'order': 192, 'powers': [1199, 763, 2202], 'representative': 1763, 'size': 193}
-
id: 24648526
{'aut_label': '192A-7', 'centralizer': '193.a1', 'counter': 2203, 'group_counter': 5, 'group_order': 444672, 'label': '192O41', 'order': 192, 'powers': [1203, 760, 2203], 'representative': 761, 'size': 193}
-
id: 24648527
{'aut_label': '192A7', 'centralizer': '193.a1', 'counter': 2204, 'group_counter': 5, 'group_order': 444672, 'label': '192O-41', 'order': 192, 'powers': [1204, 759, 2204], 'representative': 703, 'size': 193}
-
id: 24648528
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 2205, 'group_counter': 5, 'group_order': 444672, 'label': '192O43', 'order': 192, 'powers': [1189, 758, 2205], 'representative': 139, 'size': 193}
-
id: 24648529
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 2206, 'group_counter': 5, 'group_order': 444672, 'label': '192O-43', 'order': 192, 'powers': [1190, 757, 2206], 'representative': 1325, 'size': 193}
-
id: 24648530
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 2207, 'group_counter': 5, 'group_order': 444672, 'label': '192O47', 'order': 192, 'powers': [1210, 754, 2207], 'representative': 1199, 'size': 193}
-
id: 24648531
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 2208, 'group_counter': 5, 'group_order': 444672, 'label': '192O-47', 'order': 192, 'powers': [1209, 753, 2208], 'representative': 265, 'size': 193}
-
id: 24648532
{'aut_label': '192A1', 'centralizer': '193.a1', 'counter': 2209, 'group_counter': 5, 'group_order': 444672, 'label': '192O49', 'order': 192, 'powers': [1209, 752, 2209], 'representative': 1417, 'size': 193}
-
id: 24648534
{'aut_label': '192A-1', 'centralizer': '193.a1', 'counter': 2210, 'group_counter': 5, 'group_order': 444672, 'label': '192O-49', 'order': 192, 'powers': [1210, 751, 2210], 'representative': 47, 'size': 193}
-
id: 24648535
{'aut_label': '192A5', 'centralizer': '193.a1', 'counter': 2211, 'group_counter': 5, 'group_order': 444672, 'label': '192O53', 'order': 192, 'powers': [1190, 748, 2211], 'representative': 173, 'size': 193}
-
id: 24648536
{'aut_label': '192A-5', 'centralizer': '193.a1', 'counter': 2212, 'group_counter': 5, 'group_order': 444672, 'label': '192O-53', 'order': 192, 'powers': [1189, 747, 2212], 'representative': 1291, 'size': 193}
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id: 24648537
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id: 24648538
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id: 24648539
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id: 24648540
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id: 24648541
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id: 24648542
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id: 24648543
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id: 24648545
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id: 24648546
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id: 24648547
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id: 24648548
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id: 24648549
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id: 24648550
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id: 24648551
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id: 24648552
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id: 24648553
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id: 24648554
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id: 24648556
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id: 24648557
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id: 24648558
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id: 24648559
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id: 24648560
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id: 24648561
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id: 24648562
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id: 24648563
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id: 24648564
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id: 24648565
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id: 24648567
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id: 24648568
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id: 24648569
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id: 24648570
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id: 24648571
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id: 24648572
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id: 24648573
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id: 24648574
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id: 24648575
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id: 24648576
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id: 24648578
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id: 24648579
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id: 24648580
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id: 24648581
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id: 24648582
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id: 24648583
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id: 24648584
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id: 24648585
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id: 24648586
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id: 24648587
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id: 24648589
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id: 24648590
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id: 24648591
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id: 24648592
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id: 24648593
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id: 24648594
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id: 24648595
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id: 24648596
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id: 24648597
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id: 24648598
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id: 24648600
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id: 24648601
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id: 24648602
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id: 24648603
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id: 24648604
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id: 24648605
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id: 24648606
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id: 24648607
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id: 24648608
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id: 24648609
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id: 24648611
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id: 24648612
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id: 24648613
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id: 24648614
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id: 24648615
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id: 24648616
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id: 24648617
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id: 24648618
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id: 24648619
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id: 24648620
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id: 24648622
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id: 24648623
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id: 24648624
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id: 24648625
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id: 24648626
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id: 24648627
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id: 24648628
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id: 24648629
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id: 24648630
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id: 24648631
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id: 24648634
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id: 24648635
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id: 24648669
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id: 24648672
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id: 24648675
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id: 24648676
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id: 24648678
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id: 24648679
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id: 24648680
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id: 24648681
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id: 24648682
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id: 24648683
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id: 24648684
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id: 24648686
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id: 24648687
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id: 24648689
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id: 24648690
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id: 24648697
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id: 24648920
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id: 24648923
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id: 24648924
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id: 24648925
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id: 24648926
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id: 24648927
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id: 24648928
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id: 24648929
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id: 24648930
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id: 24648931
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id: 24648933
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id: 24648934
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id: 24648935
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id: 24648936
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id: 24648937
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id: 24648938
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id: 24648939
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id: 24648940
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id: 24648941
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id: 24648942
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id: 24648944
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id: 24648945
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id: 24648946
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id: 24648947
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id: 24648948
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id: 24648949
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id: 24648950
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id: 24648951
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id: 24648952
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id: 24648953
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id: 24648955
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id: 24648956
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id: 24648957
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id: 24648958
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id: 24648959
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id: 24648960
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id: 24648961
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id: 24648962
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id: 24648963
{'aut_label': '6176A1', 'centralizer': '24.g1', 'counter': 2598, 'group_counter': 5, 'group_order': 444672, 'label': '6176A-37', 'order': 6176, 'powers': [2462, 2640, 327], 'representative': 442008, 'size': 24}
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id: 24648964
{'aut_label': '6176A1', 'centralizer': '24.g1', 'counter': 2599, 'group_counter': 5, 'group_order': 444672, 'label': '6176A39', 'order': 6176, 'powers': [2463, 2609, 323], 'representative': 2808, 'size': 24}
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id: 24648967
{'aut_label': '6176A1', 'centralizer': '24.g1', 'counter': 2600, 'group_counter': 5, 'group_order': 444672, 'label': '6176A-39', 'order': 6176, 'powers': [2464, 2610, 324], 'representative': 441864, 'size': 24}
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id: 24648968
{'aut_label': '6176A1', 'centralizer': '24.g1', 'counter': 2601, 'group_counter': 5, 'group_order': 444672, 'label': '6176A41', 'order': 6176, 'powers': [2465, 2643, 333], 'representative': 2952, 'size': 24}
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id: 24648969
{'aut_label': '6176A1', 'centralizer': '24.g1', 'counter': 2602, 'group_counter': 5, 'group_order': 444672, 'label': '6176A-41', 'order': 6176, 'powers': [2466, 2644, 334], 'representative': 441720, 'size': 24}
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id: 24648970
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id: 24648971
{'aut_label': '6176A1', 'centralizer': '24.g1', 'counter': 2604, 'group_counter': 5, 'group_order': 444672, 'label': '6176A-43', 'order': 6176, 'powers': [2468, 2648, 329], 'representative': 441576, 'size': 24}
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id: 24648972
{'aut_label': '6176A1', 'centralizer': '24.g1', 'counter': 2605, 'group_counter': 5, 'group_order': 444672, 'label': '6176A49', 'order': 6176, 'powers': [2433, 2653, 332], 'representative': 3528, 'size': 24}
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id: 24648973
{'aut_label': '6176A1', 'centralizer': '24.g1', 'counter': 2606, 'group_counter': 5, 'group_order': 444672, 'label': '6176A-49', 'order': 6176, 'powers': [2434, 2654, 331], 'representative': 441144, 'size': 24}
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id: 24648974
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id: 24648975
{'aut_label': '6176A1', 'centralizer': '24.g1', 'counter': 2608, 'group_counter': 5, 'group_order': 444672, 'label': '6176A-51', 'order': 6176, 'powers': [2455, 2658, 321], 'representative': 441000, 'size': 24}
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id: 24648976
{'aut_label': '6176A1', 'centralizer': '24.g1', 'counter': 2609, 'group_counter': 5, 'group_order': 444672, 'label': '6176A53', 'order': 6176, 'powers': [2461, 2659, 329], 'representative': 3816, 'size': 24}
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id: 24648978
{'aut_label': '6176A1', 'centralizer': '24.g1', 'counter': 2610, 'group_counter': 5, 'group_order': 444672, 'label': '6176A-53', 'order': 6176, 'powers': [2462, 2660, 330], 'representative': 440856, 'size': 24}
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id: 24648979
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id: 24648980
{'aut_label': '6176A1', 'centralizer': '24.g1', 'counter': 2612, 'group_counter': 5, 'group_order': 444672, 'label': '6176A-57', 'order': 6176, 'powers': [2470, 2662, 323], 'representative': 440568, 'size': 24}
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id: 24648981
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id: 24648982
{'aut_label': '6176A1', 'centralizer': '24.g1', 'counter': 2614, 'group_counter': 5, 'group_order': 444672, 'label': '6176A-61', 'order': 6176, 'powers': [2472, 2621, 335], 'representative': 440280, 'size': 24}
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id: 24648983
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id: 24648984
{'aut_label': '6176A1', 'centralizer': '24.g1', 'counter': 2616, 'group_counter': 5, 'group_order': 444672, 'label': '6176A-65', 'order': 6176, 'powers': [2474, 2618, 326], 'representative': 439992, 'size': 24}
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id: 24648985
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id: 24648986
{'aut_label': '6176A1', 'centralizer': '24.g1', 'counter': 2618, 'group_counter': 5, 'group_order': 444672, 'label': '6176A-67', 'order': 6176, 'powers': [2476, 2650, 336], 'representative': 439848, 'size': 24}
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id: 24648987
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id: 24648989
{'aut_label': '6176A1', 'centralizer': '24.g1', 'counter': 2620, 'group_counter': 5, 'group_order': 444672, 'label': '6176A-69', 'order': 6176, 'powers': [2478, 2664, 327], 'representative': 439704, 'size': 24}
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id: 24648990
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id: 24648991
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id: 24648992
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id: 24648993
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id: 24648994
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id: 24648995
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id: 24648996
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id: 24648997
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id: 24648998
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id: 24649000
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id: 24649001
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id: 24649002
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id: 24649003
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id: 24649004
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id: 24649005
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id: 24649006
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id: 24649007
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id: 24649008
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id: 24649009
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id: 24649011
{'aut_label': '6176A1', 'centralizer': '24.g1', 'counter': 2640, 'group_counter': 5, 'group_order': 444672, 'label': '6176A-111', 'order': 6176, 'powers': [2488, 2574, 332], 'representative': 436680, 'size': 24}
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id: 24649012
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id: 24649013
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id: 24649014
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id: 24649015
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id: 24649016
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id: 24649212
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id: 24649213
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id: 24649214
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id: 24649215
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id: 24649216
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id: 24649217
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id: 24649218
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id: 24649219
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id: 24649220
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id: 24649222
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id: 24649223
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id: 24649224
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id: 24649225
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id: 24649226
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id: 24649227
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id: 24649228
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id: 24649230
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id: 24649231
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id: 24649233
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id: 24649234
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id: 24649235
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id: 24649236
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id: 24649237
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id: 24649238
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id: 24649239
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id: 24649240
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id: 24649241
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id: 24649242
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id: 24649244
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id: 24649245
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id: 24649246
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id: 24649247
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id: 24649248
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id: 24649249
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id: 24649250
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id: 24649251
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id: 24649252
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id: 24649253
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id: 24649255
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id: 24649256
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id: 24649257
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id: 24649258
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id: 24649259
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id: 24649260
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id: 24649261
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id: 24649262
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id: 24649263
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id: 24649264
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id: 24649266
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id: 24649267
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id: 24649268
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id: 24649269
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id: 24649270
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id: 24649271
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id: 24649272
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id: 24649273
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id: 24649274
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id: 24649275
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id: 24649277
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id: 24649279
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id: 24649281
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id: 24649283
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id: 24649285
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id: 24649288
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id: 24649289
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id: 24649290
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id: 24649292
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id: 24649294
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id: 24649295
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id: 24649297
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id: 24649300
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id: 24649301
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id: 24649302
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id: 24649303
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id: 24649304
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id: 24649400
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 2991, 'group_counter': 5, 'group_order': 444672, 'label': '18528A427', 'order': 18528, 'powers': [2797, 2571, 797], 'representative': 10248, 'size': 24}
-
id: 24649401
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 2992, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-427', 'order': 18528, 'powers': [2798, 2572, 798], 'representative': 56568, 'size': 24}
-
id: 24649402
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 2993, 'group_counter': 5, 'group_order': 444672, 'label': '18528A431', 'order': 18528, 'powers': [2799, 2639, 799], 'representative': 10344, 'size': 24}
-
id: 24649403
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 2994, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-431', 'order': 18528, 'powers': [2800, 2640, 800], 'representative': 19608, 'size': 24}
-
id: 24649404
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 2995, 'group_counter': 5, 'group_order': 444672, 'label': '18528A449', 'order': 18528, 'powers': [2775, 2561, 790], 'representative': 10776, 'size': 24}
-
id: 24649405
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 2996, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-449', 'order': 18528, 'powers': [2776, 2562, 789], 'representative': 69864, 'size': 24}
-
id: 24649406
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 2997, 'group_counter': 5, 'group_order': 444672, 'label': '18528A461', 'order': 18528, 'powers': [2787, 2685, 782], 'representative': 11064, 'size': 24}
-
id: 24649407
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 2998, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-461', 'order': 18528, 'powers': [2788, 2686, 781], 'representative': 51144, 'size': 24}
-
id: 24649408
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 2999, 'group_counter': 5, 'group_order': 444672, 'label': '18528A473', 'order': 18528, 'powers': [2713, 2657, 774], 'representative': 11352, 'size': 24}
-
id: 24649412
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3000, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-473', 'order': 18528, 'powers': [2714, 2658, 773], 'representative': 20904, 'size': 24}
-
id: 24649413
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3001, 'group_counter': 5, 'group_order': 444672, 'label': '18528A485', 'order': 18528, 'powers': [2798, 2668, 771], 'representative': 11640, 'size': 24}
-
id: 24649414
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3002, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-485', 'order': 18528, 'powers': [2797, 2667, 772], 'representative': 20616, 'size': 24}
-
id: 24649415
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3003, 'group_counter': 5, 'group_order': 444672, 'label': '18528A503', 'order': 18528, 'powers': [2801, 2634, 783], 'representative': 12072, 'size': 24}
-
id: 24649416
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3004, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-503', 'order': 18528, 'powers': [2802, 2633, 784], 'representative': 34008, 'size': 24}
-
id: 24649417
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3005, 'group_counter': 5, 'group_order': 444672, 'label': '18528A533', 'order': 18528, 'powers': [2773, 2581, 798], 'representative': 12792, 'size': 24}
-
id: 24649418
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3006, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-533', 'order': 18528, 'powers': [2774, 2582, 797], 'representative': 26376, 'size': 24}
-
id: 24649419
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3007, 'group_counter': 5, 'group_order': 444672, 'label': '18528A535', 'order': 18528, 'powers': [2740, 2622, 796], 'representative': 12840, 'size': 24}
-
id: 24649420
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3008, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-535', 'order': 18528, 'powers': [2739, 2621, 795], 'representative': 14808, 'size': 24}
-
id: 24649421
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3009, 'group_counter': 5, 'group_order': 444672, 'label': '18528A545', 'order': 18528, 'powers': [2751, 2660, 790], 'representative': 13080, 'size': 24}
-
id: 24649423
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3010, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-545', 'order': 18528, 'powers': [2752, 2659, 789], 'representative': 26088, 'size': 24}
-
id: 24649424
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3011, 'group_counter': 5, 'group_order': 444672, 'label': '18528A581', 'order': 18528, 'powers': [2803, 2684, 771], 'representative': 13944, 'size': 24}
-
id: 24649425
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3012, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-581', 'order': 18528, 'powers': [2804, 2683, 772], 'representative': 25224, 'size': 24}
-
id: 24649426
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3013, 'group_counter': 5, 'group_order': 444672, 'label': '18528A583', 'order': 18528, 'powers': [2805, 2677, 773], 'representative': 13992, 'size': 24}
-
id: 24649427
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3014, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-583', 'order': 18528, 'powers': [2806, 2678, 774], 'representative': 64344, 'size': 24}
-
id: 24649428
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3015, 'group_counter': 5, 'group_order': 444672, 'label': '18528A587', 'order': 18528, 'powers': [2807, 2623, 775], 'representative': 14088, 'size': 24}
-
id: 24649429
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3016, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-587', 'order': 18528, 'powers': [2808, 2624, 776], 'representative': 48120, 'size': 24}
-
id: 24649430
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3017, 'group_counter': 5, 'group_order': 444672, 'label': '18528A589', 'order': 18528, 'powers': [2796, 2608, 777], 'representative': 14136, 'size': 24}
-
id: 24649431
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3018, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-589', 'order': 18528, 'powers': [2795, 2607, 778], 'representative': 25032, 'size': 24}
-
id: 24649432
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3019, 'group_counter': 5, 'group_order': 444672, 'label': '18528A595', 'order': 18528, 'powers': [2809, 2638, 781], 'representative': 14280, 'size': 24}
-
id: 24649434
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3020, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-595', 'order': 18528, 'powers': [2810, 2637, 782], 'representative': 66360, 'size': 24}
-
id: 24649435
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3021, 'group_counter': 5, 'group_order': 444672, 'label': '18528A611', 'order': 18528, 'powers': [2735, 2617, 791], 'representative': 14664, 'size': 24}
-
id: 24649436
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3022, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-611', 'order': 18528, 'powers': [2736, 2618, 792], 'representative': 135096, 'size': 24}
-
id: 24649437
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3023, 'group_counter': 5, 'group_order': 444672, 'label': '18528A635', 'order': 18528, 'powers': [2807, 2620, 794], 'representative': 15240, 'size': 24}
-
id: 24649438
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3024, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-635', 'order': 18528, 'powers': [2808, 2619, 793], 'representative': 26232, 'size': 24}
-
id: 24649439
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3025, 'group_counter': 5, 'group_order': 444672, 'label': '18528A661', 'order': 18528, 'powers': [2761, 2662, 776], 'representative': 15864, 'size': 24}
-
id: 24649440
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3026, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-661', 'order': 18528, 'powers': [2762, 2661, 775], 'representative': 27912, 'size': 24}
-
id: 24649441
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3027, 'group_counter': 5, 'group_order': 444672, 'label': '18528A665', 'order': 18528, 'powers': [2811, 2585, 774], 'representative': 15960, 'size': 24}
-
id: 24649442
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3028, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-665', 'order': 18528, 'powers': [2812, 2586, 773], 'representative': 23208, 'size': 24}
-
id: 24649443
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3029, 'group_counter': 5, 'group_order': 444672, 'label': '18528A701', 'order': 18528, 'powers': [2702, 2596, 787], 'representative': 16824, 'size': 24}
-
id: 24649445
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3030, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-701', 'order': 18528, 'powers': [2701, 2595, 788], 'representative': 22344, 'size': 24}
-
id: 24649446
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3031, 'group_counter': 5, 'group_order': 444672, 'label': '18528A707', 'order': 18528, 'powers': [2813, 2632, 791], 'representative': 16968, 'size': 24}
-
id: 24649447
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3032, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-707', 'order': 18528, 'powers': [2814, 2631, 792], 'representative': 24504, 'size': 24}
-
id: 24649448
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3033, 'group_counter': 5, 'group_order': 444672, 'label': '18528A709', 'order': 18528, 'powers': [2737, 2680, 793], 'representative': 17016, 'size': 24}
-
id: 24649449
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3034, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-709', 'order': 18528, 'powers': [2738, 2679, 794], 'representative': 19848, 'size': 24}
-
id: 24649450
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3035, 'group_counter': 5, 'group_order': 444672, 'label': '18528A713', 'order': 18528, 'powers': [2806, 2682, 795], 'representative': 17112, 'size': 24}
-
id: 24649451
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3036, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-713', 'order': 18528, 'powers': [2805, 2681, 796], 'representative': 22056, 'size': 24}
-
id: 24649452
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3037, 'group_counter': 5, 'group_order': 444672, 'label': '18528A751', 'order': 18528, 'powers': [2780, 2651, 780], 'representative': 18024, 'size': 24}
-
id: 24649453
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3038, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-751', 'order': 18528, 'powers': [2779, 2652, 779], 'representative': 60312, 'size': 24}
-
id: 24649454
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3039, 'group_counter': 5, 'group_order': 444672, 'label': '18528A767', 'order': 18528, 'powers': [2799, 2659, 770], 'representative': 18408, 'size': 24}
-
id: 24649456
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3040, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-767', 'order': 18528, 'powers': [2800, 2660, 769], 'representative': 27672, 'size': 24}
-
id: 24649457
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3041, 'group_counter': 5, 'group_order': 444672, 'label': '18528A835', 'order': 18528, 'powers': [2809, 2675, 788], 'representative': 20040, 'size': 24}
-
id: 24649458
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3042, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-835', 'order': 18528, 'powers': [2810, 2676, 787], 'representative': 60600, 'size': 24}
-
id: 24649459
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3043, 'group_counter': 5, 'group_order': 444672, 'label': '18528A847', 'order': 18528, 'powers': [2726, 2687, 780], 'representative': 20328, 'size': 24}
-
id: 24649460
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3044, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-847', 'order': 18528, 'powers': [2725, 2688, 779], 'representative': 41880, 'size': 24}
-
id: 24649461
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3045, 'group_counter': 5, 'group_order': 444672, 'label': '18528A863', 'order': 18528, 'powers': [2717, 2645, 770], 'representative': 20712, 'size': 24}
-
id: 24649462
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3046, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-863', 'order': 18528, 'powers': [2718, 2646, 769], 'representative': 29976, 'size': 24}
-
id: 24649463
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3047, 'group_counter': 5, 'group_order': 444672, 'label': '18528A889', 'order': 18528, 'powers': [2802, 2611, 785], 'representative': 21336, 'size': 24}
-
id: 24649464
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3048, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-889', 'order': 18528, 'powers': [2801, 2612, 786], 'representative': 24744, 'size': 24}
-
id: 24649465
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3049, 'group_counter': 5, 'group_order': 444672, 'label': '18528A911', 'order': 18528, 'powers': [2744, 2687, 799], 'representative': 21864, 'size': 24}
-
id: 24649467
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3050, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-911', 'order': 18528, 'powers': [2743, 2688, 800], 'representative': 31128, 'size': 24}
-
id: 24649468
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3051, 'group_counter': 5, 'group_order': 444672, 'label': '18528A973', 'order': 18528, 'powers': [2814, 2685, 777], 'representative': 23352, 'size': 24}
-
id: 24649469
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3052, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-973', 'order': 18528, 'powers': [2813, 2686, 778], 'representative': 38856, 'size': 24}
-
id: 24649470
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3053, 'group_counter': 5, 'group_order': 444672, 'label': '18528A997', 'order': 18528, 'powers': [2748, 2684, 793], 'representative': 23928, 'size': 24}
-
id: 24649471
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3054, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-997', 'order': 18528, 'powers': [2747, 2683, 794], 'representative': 125832, 'size': 24}
-
id: 24649472
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3055, 'group_counter': 5, 'group_order': 444672, 'label': '18528A1055', 'order': 18528, 'powers': [2789, 2594, 770], 'representative': 25320, 'size': 24}
-
id: 24649473
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3056, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-1055', 'order': 18528, 'powers': [2790, 2593, 769], 'representative': 34584, 'size': 24}
-
id: 24649474
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3057, 'group_counter': 5, 'group_order': 444672, 'label': '18528A1199', 'order': 18528, 'powers': [2785, 2578, 799], 'representative': 28776, 'size': 24}
-
id: 24649475
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3058, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-1199', 'order': 18528, 'powers': [2786, 2577, 800], 'representative': 38040, 'size': 24}
-
id: 24649476
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3059, 'group_counter': 5, 'group_order': 444672, 'label': '18528A1355', 'order': 18528, 'powers': [2721, 2582, 775], 'representative': 32520, 'size': 24}
-
id: 24649478
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3060, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-1355', 'order': 18528, 'powers': [2722, 2581, 776], 'representative': 45816, 'size': 24}
-
id: 24649479
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3061, 'group_counter': 5, 'group_order': 444672, 'label': '18528A1367', 'order': 18528, 'powers': [2815, 2570, 783], 'representative': 32808, 'size': 24}
-
id: 24649480
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3062, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-1367', 'order': 18528, 'powers': [2816, 2569, 784], 'representative': 47832, 'size': 24}
-
id: 24649481
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3063, 'group_counter': 5, 'group_order': 444672, 'label': '18528A1523', 'order': 18528, 'powers': [2759, 2653, 778], 'representative': 36552, 'size': 24}
-
id: 24649482
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3064, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-1523', 'order': 18528, 'powers': [2760, 2654, 777], 'representative': 41784, 'size': 24}
-
id: 24649483
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3065, 'group_counter': 5, 'group_order': 444672, 'label': '18528A1607', 'order': 18528, 'powers': [2815, 2567, 786], 'representative': 38568, 'size': 24}
-
id: 24649484
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3066, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-1607', 'order': 18528, 'powers': [2816, 2568, 785], 'representative': 42072, 'size': 24}
-
id: 24649485
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3067, 'group_counter': 5, 'group_order': 444672, 'label': '18528A1769', 'order': 18528, 'powers': [2811, 2584, 795], 'representative': 42456, 'size': 24}
-
id: 24649486
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3068, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-1769', 'order': 18528, 'powers': [2812, 2583, 796], 'representative': 107304, 'size': 24}
-
id: 24649487
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3069, 'group_counter': 5, 'group_order': 444672, 'label': '18528A2155', 'order': 18528, 'powers': [2804, 2635, 797], 'representative': 51720, 'size': 24}
-
id: 24649489
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3070, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-2155', 'order': 18528, 'powers': [2803, 2636, 798], 'representative': 98040, 'size': 24}
-
id: 24649490
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3071, 'group_counter': 5, 'group_order': 444672, 'label': '18528A2927', 'order': 18528, 'powers': [2741, 2663, 799], 'representative': 70248, 'size': 24}
-
id: 24649491
{'aut_label': '18528A1', 'centralizer': '24.g1', 'counter': 3072, 'group_counter': 5, 'group_order': 444672, 'label': '18528A-2927', 'order': 18528, 'powers': [2742, 2664, 800], 'representative': 79512, 'size': 24}
-
group 444672.e does not appear in gps_qchar
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group 444672.e does not appear in gps_char
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gps_subgroup_search • Show schema
Hide schema
-
id: 3130228
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 444672, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 1158, 'label': '444672.e.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0', 'R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '444672.e', 'subgroup_hash': 64080698816835847, 'subgroup_order': 444672, 'subgroup_tex': 'C_{18528}.C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130339
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 222336, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1', 'C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2149957763341915978, 'subgroup_order': 222336, 'subgroup_tex': 'C_3\\times C_{772}.(C_4\\times C_{24})', 'supersolvable': True, 'sylow': 0}
-
id: 3130399
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': True, 'centralizer_order': 96, 'characteristic': False, 'core_order': 222336, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6821536434346736260, 'subgroup_order': 222336, 'subgroup_tex': 'C_3\\times C_{772}.C_{48}.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 3130410
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 148224, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1174420988944476663, 'subgroup_order': 148224, 'subgroup_tex': 'C_3\\times C_{193}:(C_4\\times C_{64})', 'supersolvable': True, 'sylow': 0}
-
id: 3130421
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': True, 'centralizer_order': 96, 'characteristic': False, 'core_order': 148224, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '444672.e.3.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5413501884093102053, 'subgroup_order': 148224, 'subgroup_tex': 'C_{772}.(C_4\\times C_{48})', 'supersolvable': True, 'sylow': 0}
-
id: 3130432
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 111168, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5435733726772281650, 'subgroup_order': 111168, 'subgroup_tex': 'C_3\\times C_{772}.(C_4\\times C_{12})', 'supersolvable': True, 'sylow': 0}
-
id: 3130443
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 111168, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': ['C2', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2822324275217664985, 'subgroup_order': 111168, 'subgroup_tex': 'C_3\\times C_{3088}.C_6.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 3130454
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 111168, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5410592772195186427, 'subgroup_order': 111168, 'subgroup_tex': 'C_3\\times C_{772}.C_{24}.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 3130465
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': True, 'centralizer_order': 96, 'characteristic': False, 'core_order': 111168, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4367784471989834978, 'subgroup_order': 111168, 'subgroup_tex': 'C_3\\times C_{772}.C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130229
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 74112, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7904917647631298345, 'subgroup_order': 74112, 'subgroup_tex': 'C_3\\times C_{193}:(C_4\\times C_{32})', 'supersolvable': True, 'sylow': 0}
-
id: 3130240
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 74112, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5365078101059328049, 'subgroup_order': 74112, 'subgroup_tex': 'C_3\\times C_{193}:(C_2\\times C_{64})', 'supersolvable': True, 'sylow': 0}
-
id: 3130251
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 74112, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7120000409198114356, 'subgroup_order': 74112, 'subgroup_tex': 'C_{772}.(C_4\\times C_{24})', 'supersolvable': True, 'sylow': 0}
-
id: 3130262
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': True, 'centralizer_order': 96, 'characteristic': False, 'core_order': 74112, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3435642624097379259, 'subgroup_order': 74112, 'subgroup_tex': 'C_{772}.C_{48}.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 3130273
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 55584, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4010833951672213679, 'subgroup_order': 55584, 'subgroup_tex': 'C_3\\times C_{193}:(C_4\\times C_{24})', 'supersolvable': True, 'sylow': 0}
-
id: 3130284
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 55584, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8421896462850039881, 'subgroup_order': 55584, 'subgroup_tex': 'C_3\\times C_{193}:(C_2\\times C_{48})', 'supersolvable': True, 'sylow': 0}
-
id: 3130295
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 55584, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3573437272660138181, 'subgroup_order': 55584, 'subgroup_tex': 'C_3\\times C_{193}:(C_2\\times C_{48})', 'supersolvable': True, 'sylow': 0}
-
id: 3130306
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 55584, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': ['C3', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3183686551513016191, 'subgroup_order': 55584, 'subgroup_tex': 'C_{96}\\times C_{193}:C_3', 'supersolvable': True, 'sylow': 0}
-
id: 3130317
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 55584, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1524488388023008508, 'subgroup_order': 55584, 'subgroup_tex': 'C_3\\times C_{193}:C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130328
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 55584, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 963647426092665280, 'subgroup_order': 55584, 'subgroup_tex': 'C_3\\times C_{193}:C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130340
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 49408, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 386, 'label': '444672.e.9.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '9.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '49408.1116731', 'subgroup_hash': 1116731, 'subgroup_order': 49408, 'subgroup_tex': 'C_{6176}.C_8', 'supersolvable': True, 'sylow': 0}
-
id: 3130351
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 37056, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4070857797002908212, 'subgroup_order': 37056, 'subgroup_tex': 'C_3\\times C_{193}:(C_4\\times C_{16})', 'supersolvable': True, 'sylow': 0}
-
id: 3130362
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 37056, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3271745433197628293, 'subgroup_order': 37056, 'subgroup_tex': 'C_3\\times C_{193}:(C_2\\times C_{32})', 'supersolvable': True, 'sylow': 0}
-
id: 3130373
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 37056, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5882872128071295623, 'subgroup_order': 37056, 'subgroup_tex': 'C_3\\times C_{193}:(C_2\\times C_{32})', 'supersolvable': True, 'sylow': 0}
-
id: 3130384
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 37056, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8356584799399968749, 'subgroup_order': 37056, 'subgroup_tex': 'C_{772}.(C_4\\times C_{12})', 'supersolvable': True, 'sylow': 0}
-
id: 3130394
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 37056, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2895410949705252124, 'subgroup_order': 37056, 'subgroup_tex': 'C_{3088}.C_6.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 3130395
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 37056, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.12.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2885009777640273360, 'subgroup_order': 37056, 'subgroup_tex': 'C_{772}.C_{24}.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 3130396
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 37056, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.12.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3323275565493975246, 'subgroup_order': 37056, 'subgroup_tex': 'C_3\\times C_{193}:C_{64}', 'supersolvable': True, 'sylow': 0}
-
id: 3130397
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': True, 'centralizer_order': 96, 'characteristic': False, 'core_order': 37056, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.12.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9221522647642601426, 'subgroup_order': 37056, 'subgroup_tex': 'C_{772}.C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130398
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 27792, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8431724307822655877, 'subgroup_order': 27792, 'subgroup_tex': 'C_{12}\\times C_{193}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130400
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 27792, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8396345107229926202, 'subgroup_order': 27792, 'subgroup_tex': 'C_3\\times C_{193}:(C_2\\times C_{24})', 'supersolvable': True, 'sylow': 0}
-
id: 3130401
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 27792, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2463328804536631827, 'subgroup_order': 27792, 'subgroup_tex': 'C_3\\times C_{193}:(C_2\\times C_{24})', 'supersolvable': True, 'sylow': 0}
-
id: 3130402
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 27792, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4978771814786744732, 'subgroup_order': 27792, 'subgroup_tex': 'C_{48}\\times C_{193}:C_3', 'supersolvable': True, 'sylow': 0}
-
id: 3130403
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 27792, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6637967223943755022, 'subgroup_order': 27792, 'subgroup_tex': 'C_3\\times C_{193}:C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130404
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 27792, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1023067480107246457, 'subgroup_order': 27792, 'subgroup_tex': 'C_3\\times C_{193}:C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130405
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 24704, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.18.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24704.19613', 'subgroup_hash': 19613, 'subgroup_order': 24704, 'subgroup_tex': 'C_{6176}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 3130406
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24704, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.18.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24704.21613', 'subgroup_hash': 21613, 'subgroup_order': 24704, 'subgroup_tex': 'D_{193}:C_{64}', 'supersolvable': True, 'sylow': 0}
-
id: 3130407
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 18528, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5999623593877155224, 'subgroup_order': 18528, 'subgroup_tex': 'C_3\\times C_{193}:(C_4\\times C_8)', 'supersolvable': True, 'sylow': 0}
-
id: 3130408
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 18528, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 538757777378702638, 'subgroup_order': 18528, 'subgroup_tex': 'C_3\\times C_{193}:(C_2\\times C_{16})', 'supersolvable': True, 'sylow': 0}
-
id: 3130409
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 18528, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4869542635261826384, 'subgroup_order': 18528, 'subgroup_tex': 'C_3\\times C_{193}:(C_2\\times C_{16})', 'supersolvable': True, 'sylow': 0}
-
id: 3130411
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 18528, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1494958967010650624, 'subgroup_order': 18528, 'subgroup_tex': 'C_{193}:(C_4\\times C_{24})', 'supersolvable': True, 'sylow': 0}
-
id: 3130412
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 18528, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2076018530435674918, 'subgroup_order': 18528, 'subgroup_tex': 'C_{193}:(C_2\\times C_{48})', 'supersolvable': True, 'sylow': 0}
-
id: 3130413
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 18528, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.24.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5512533214259075116, 'subgroup_order': 18528, 'subgroup_tex': 'C_{193}:(C_2\\times C_{48})', 'supersolvable': True, 'sylow': 0}
-
id: 3130414
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 18528, 'characteristic': True, 'core_order': 18528, 'counter': 43, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.24.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': ['F', 'C4', 'F', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18528.p', 'subgroup_hash': 997017231, 'subgroup_order': 18528, 'subgroup_tex': 'C_{18528}', 'supersolvable': True, 'sylow': 0}
-
id: 3130415
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 18528, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.24.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5947059969883459482, 'subgroup_order': 18528, 'subgroup_tex': 'C_3\\times C_{193}:C_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 3130416
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 18528, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.24.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5172510388181535276, 'subgroup_order': 18528, 'subgroup_tex': 'C_3\\times C_{193}:C_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 3130417
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 18528, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.24.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4962708847628300358, 'subgroup_order': 18528, 'subgroup_tex': 'C_{32}\\times C_{193}:C_3', 'supersolvable': True, 'sylow': 0}
-
id: 3130418
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 18528, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.24.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7338656972699763756, 'subgroup_order': 18528, 'subgroup_tex': 'C_{193}:C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130419
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 18528, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.24.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9138703965000866875, 'subgroup_order': 18528, 'subgroup_tex': 'C_{193}:C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130420
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 13896, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7199963080172644393, 'subgroup_order': 13896, 'subgroup_tex': 'C_3\\times C_{193}:(C_2\\times C_{12})', 'supersolvable': True, 'sylow': 0}
-
id: 3130422
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 13896, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{32}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4962178239289377236, 'subgroup_order': 13896, 'subgroup_tex': 'C_6\\times C_{193}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130423
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 13896, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.3', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7122206861937351007, 'subgroup_order': 13896, 'subgroup_tex': 'C_{24}\\times C_{193}:C_3', 'supersolvable': True, 'sylow': 0}
-
id: 3130424
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 13896, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7114485852593145590, 'subgroup_order': 13896, 'subgroup_tex': 'C_3\\times C_{193}:C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130425
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 13896, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.32.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{32}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8734255698348307569, 'subgroup_order': 13896, 'subgroup_tex': 'C_3\\times C_{193}:C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130426
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 12352, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.36.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.8', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12352.1433', 'subgroup_hash': 1433, 'subgroup_order': 12352, 'subgroup_tex': 'C_{3088}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 3130427
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 12352, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.36.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.8', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12352.380', 'subgroup_hash': 380, 'subgroup_order': 12352, 'subgroup_tex': 'C_{32}\\times D_{193}', 'supersolvable': True, 'sylow': 0}
-
id: 3130428
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 12352, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.36.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12352.1480', 'subgroup_hash': 1480, 'subgroup_order': 12352, 'subgroup_tex': 'D_{193}:C_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 3130429
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12352, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.36.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.8', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12352.1631', 'subgroup_hash': 1631, 'subgroup_order': 12352, 'subgroup_tex': 'C_{193}:C_{64}', 'supersolvable': True, 'sylow': 0}
-
id: 3130430
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 9264, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2021068781736658073, 'subgroup_order': 9264, 'subgroup_tex': 'C_{12}\\times C_{193}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 3130431
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 9264, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8390340695527896084, 'subgroup_order': 9264, 'subgroup_tex': 'C_3\\times C_{193}:(C_2\\times C_8)', 'supersolvable': True, 'sylow': 0}
-
id: 3130433
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 9264, 'counter': 60, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5080177183885032835, 'subgroup_order': 9264, 'subgroup_tex': 'C_3\\times C_{193}:(C_2\\times C_8)', 'supersolvable': True, 'sylow': 0}
-
id: 3130434
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 9264, 'counter': 61, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.48.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1780693913453573816, 'subgroup_order': 9264, 'subgroup_tex': 'C_4\\times C_{193}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130435
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 9264, 'counter': 62, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.48.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7925856653797502209, 'subgroup_order': 9264, 'subgroup_tex': 'C_{193}:(C_2\\times C_{24})', 'supersolvable': True, 'sylow': 0}
-
id: 3130436
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 9264, 'counter': 63, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.48.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9103054089930718289, 'subgroup_order': 9264, 'subgroup_tex': 'C_{193}:(C_2\\times C_{24})', 'supersolvable': True, 'sylow': 0}
-
id: 3130437
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 18528, 'characteristic': True, 'core_order': 9264, 'counter': 64, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.48.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': ['C5', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '9264.n', 'subgroup_hash': 997010143, 'subgroup_order': 9264, 'subgroup_tex': 'C_{9264}', 'supersolvable': True, 'sylow': 0}
-
id: 3130438
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 9264, 'counter': 65, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.48.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1542768678264688564, 'subgroup_order': 9264, 'subgroup_tex': 'C_3\\times C_{193}:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 3130439
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 9264, 'counter': 66, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.48.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5543747524342709247, 'subgroup_order': 9264, 'subgroup_tex': 'C_3\\times C_{193}:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 3130440
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 9264, 'counter': 67, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.48.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6285794246961337256, 'subgroup_order': 9264, 'subgroup_tex': 'C_{16}\\times C_{193}:C_3', 'supersolvable': True, 'sylow': 0}
-
id: 3130441
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 9264, 'counter': 68, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.48.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7501511149102923590, 'subgroup_order': 9264, 'subgroup_tex': 'C_{193}:C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130442
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 9264, 'counter': 69, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.48.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8129762041865057773, 'subgroup_order': 9264, 'subgroup_tex': 'C_{193}:C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130444
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 6948, 'counter': 70, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.50', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{32}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2463832463086536938, 'subgroup_order': 6948, 'subgroup_tex': 'C_6\\times C_{193}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 3130445
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 6948, 'counter': 71, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.64.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.26', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 26, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5992398371646297422, 'subgroup_order': 6948, 'subgroup_tex': 'C_{12}\\times C_{193}:C_3', 'supersolvable': True, 'sylow': 0}
-
id: 3130446
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 6948, 'counter': 72, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.64.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.50', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{32}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 897427476812431521, 'subgroup_order': 6948, 'subgroup_tex': 'C_3\\times C_{193}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130447
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6948, 'counter': 73, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.64.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{64}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 163829408175284635, 'subgroup_order': 6948, 'subgroup_tex': 'C_3\\times C_{193}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130448
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 6176, 'counter': 74, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.72.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6176.198', 'subgroup_hash': 198, 'subgroup_order': 6176, 'subgroup_tex': 'C_{1544}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 3130449
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 6176, 'counter': 75, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.72.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.36', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6176.83', 'subgroup_hash': 83, 'subgroup_order': 6176, 'subgroup_tex': 'C_{16}\\times D_{193}', 'supersolvable': True, 'sylow': 0}
-
id: 3130450
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 6176, 'counter': 76, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.72.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6176.219', 'subgroup_hash': 219, 'subgroup_order': 6176, 'subgroup_tex': 'D_{193}:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 3130451
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 18528, 'characteristic': True, 'core_order': 6176, 'counter': 77, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.72.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6176.1', 'subgroup_hash': 1, 'subgroup_order': 6176, 'subgroup_tex': 'C_{6176}', 'supersolvable': True, 'sylow': 0}
-
id: 3130452
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 6176, 'counter': 78, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.72.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6176.52', 'subgroup_hash': 52, 'subgroup_order': 6176, 'subgroup_tex': 'C_{193}:C_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 3130453
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6176, 'counter': 79, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.72.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.36', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6176.196', 'subgroup_hash': 196, 'subgroup_order': 6176, 'subgroup_tex': 'C_{193}:C_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 3130455
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 4632, 'counter': 80, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.96.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '96.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.59', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 59, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 367531126903099124, 'subgroup_order': 4632, 'subgroup_tex': 'C_3\\times C_{193}:(C_2\\times C_4)', 'supersolvable': True, 'sylow': 0}
-
id: 3130456
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4632, 'counter': 81, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.96.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '96.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8671373250844862890, 'subgroup_order': 4632, 'subgroup_tex': 'C_6\\times C_{193}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 3130457
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4632, 'counter': 82, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.96.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '96.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.59', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 59, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4402422608676462826, 'subgroup_order': 4632, 'subgroup_tex': 'C_{193}:(C_2\\times C_{12})', 'supersolvable': True, 'sylow': 0}
-
id: 3130458
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4632, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.96.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '96.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 443668991223327278, 'subgroup_order': 4632, 'subgroup_tex': 'C_2\\times C_{193}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130459
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 18528, 'characteristic': True, 'core_order': 4632, 'counter': 84, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.96.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.46', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': ['C6', 'C6'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4632.l', 'subgroup_hash': 997006583, 'subgroup_order': 4632, 'subgroup_tex': 'C_{4632}', 'supersolvable': True, 'sylow': 0}
-
id: 3130460
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 4632, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.96.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '96.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.59', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 59, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3741432269732670734, 'subgroup_order': 4632, 'subgroup_tex': 'C_3\\times C_{193}:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 3130461
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4632, 'counter': 86, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.96.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '96.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6570472064142867691, 'subgroup_order': 4632, 'subgroup_tex': 'C_3\\times C_{193}:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 3130462
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4632, 'counter': 87, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.96.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '96.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.46', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8204311627663605522, 'subgroup_order': 4632, 'subgroup_tex': 'C_8\\times C_{193}:C_3', 'supersolvable': True, 'sylow': 0}
-
id: 3130463
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4632, 'counter': 88, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.96.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '96.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.59', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 59, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7053465063670437471, 'subgroup_order': 4632, 'subgroup_tex': 'C_{193}:C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130464
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4632, 'counter': 89, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.96.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '96.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6069812189959426502, 'subgroup_order': 4632, 'subgroup_tex': 'C_{193}:C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130466
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 3474, 'counter': 90, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.128.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.128', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 128, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{32}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '3474.b', 'subgroup_hash': 16, 'subgroup_order': 3474, 'subgroup_tex': 'C_{1158}:C_3', 'supersolvable': True, 'sylow': 0}
-
id: 3130467
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3474, 'counter': 91, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.128.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.159', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 159, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{64}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '3474.a', 'subgroup_hash': 11, 'subgroup_order': 3474, 'subgroup_tex': 'C_{579}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 3130468
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 3088, 'counter': 92, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.144.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '144.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.30', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '3088.44', 'subgroup_hash': 44, 'subgroup_order': 3088, 'subgroup_tex': 'C_{772}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 3130469
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 3088, 'counter': 93, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.144.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '144.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.104', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 104, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '3088.21', 'subgroup_hash': 21, 'subgroup_order': 3088, 'subgroup_tex': 'C_8\\times D_{193}', 'supersolvable': True, 'sylow': 0}
-
id: 3130470
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 3088, 'counter': 94, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.144.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '144.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.30', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '3088.48', 'subgroup_hash': 48, 'subgroup_order': 3088, 'subgroup_tex': 'D_{193}:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 3130471
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 18528, 'characteristic': True, 'core_order': 3088, 'counter': 95, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.144.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.104', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 104, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '3088.1', 'subgroup_hash': 1, 'subgroup_order': 3088, 'subgroup_tex': 'C_{3088}', 'supersolvable': True, 'sylow': 0}
-
id: 3130472
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 3088, 'counter': 96, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.144.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '144.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.101', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 101, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '3088.15', 'subgroup_hash': 15, 'subgroup_order': 3088, 'subgroup_tex': 'C_{193}:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 3130473
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3088, 'counter': 97, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.144.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '144.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.30', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '3088.43', 'subgroup_hash': 43, 'subgroup_order': 3088, 'subgroup_tex': 'C_{193}:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 3130474
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 2316, 'counter': 98, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.192.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '192.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.175', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 175, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2316.h', 'subgroup_hash': 16, 'subgroup_order': 2316, 'subgroup_tex': 'C_3\\times D_{386}', 'supersolvable': True, 'sylow': 0}
-
id: 3130475
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2316, 'counter': 99, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.192.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '192.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.175', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 175, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2316.e', 'subgroup_hash': 11, 'subgroup_order': 2316, 'subgroup_tex': 'C_{386}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 3130230
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 18528, 'characteristic': True, 'core_order': 2316, 'counter': 100, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.192.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.151', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 151, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': ['C7', 'C7'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2316.a', 'subgroup_hash': 1, 'subgroup_order': 2316, 'subgroup_tex': 'C_{2316}', 'supersolvable': True, 'sylow': 0}
-
id: 3130231
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 2316, 'counter': 101, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.192.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '192.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.175', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 175, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2316.g', 'subgroup_hash': 13, 'subgroup_order': 2316, 'subgroup_tex': 'C_{193}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130232
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2316, 'counter': 102, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.192.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '192.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.151', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 151, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2316.d', 'subgroup_hash': 7, 'subgroup_order': 2316, 'subgroup_tex': 'C_{193}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130233
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2316, 'counter': 103, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.192.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '192.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.175', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 175, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2316.f', 'subgroup_hash': 12, 'subgroup_order': 2316, 'subgroup_tex': 'C_{193}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130234
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2316, 'counter': 104, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.192.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '192.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{192}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2316.c', 'subgroup_hash': 4, 'subgroup_order': 2316, 'subgroup_tex': 'C_{193}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130235
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2316, 'counter': 105, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.192.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '192.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{192}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2316.b', 'subgroup_hash': 3, 'subgroup_order': 2316, 'subgroup_tex': 'C_{193}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130236
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 96, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '444672.e.193.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '193.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': 193, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1994011952017718, 'subgroup_order': 2304, 'subgroup_tex': 'C_{12}\\times C_{192}', 'supersolvable': True, 'sylow': 0}
-
id: 3130237
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 1737, 'counter': 107, 'cyclic': False, 'direct': False, 'hall': 579, 'label': '444672.e.256.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.497', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 497, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{64}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1737.3', 'subgroup_hash': 3, 'subgroup_order': 1737, 'subgroup_tex': 'C_{579}:C_3', 'supersolvable': True, 'sylow': 0}
-
id: 3130238
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 1544, 'counter': 108, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.288.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '288.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '288.327', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 327, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1544.7', 'subgroup_hash': 7, 'subgroup_order': 1544, 'subgroup_tex': 'C_4\\times D_{193}', 'supersolvable': True, 'sylow': 0}
-
id: 3130239
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1544, 'counter': 109, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.288.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '288.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '288.66', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 66, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1544.14', 'subgroup_hash': 14, 'subgroup_order': 1544, 'subgroup_tex': 'C_{386}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 3130241
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 18528, 'characteristic': True, 'core_order': 1544, 'counter': 110, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.288.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '288.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '288.314', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 314, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1544.1', 'subgroup_hash': 1, 'subgroup_order': 1544, 'subgroup_tex': 'C_{1544}', 'supersolvable': True, 'sylow': 0}
-
id: 3130242
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 1544, 'counter': 111, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.288.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '288.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '288.327', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 327, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1544.6', 'subgroup_hash': 6, 'subgroup_order': 1544, 'subgroup_tex': 'C_{193}:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 3130243
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1544, 'counter': 112, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.288.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '288.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '288.66', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 66, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1544.13', 'subgroup_hash': 13, 'subgroup_order': 1544, 'subgroup_tex': 'C_{193}:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 3130244
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 18528, 'characteristic': True, 'core_order': 1158, 'counter': 113, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.384.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.532', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 532, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{96}', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C8', 'S', 'C8'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1158.6', 'subgroup_hash': 6, 'subgroup_order': 1158, 'subgroup_tex': 'C_{1158}', 'supersolvable': True, 'sylow': 0}
-
id: 3130245
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1158, 'counter': 114, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.384.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '384.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.532', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 532, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1158.2', 'subgroup_hash': 2, 'subgroup_order': 1158, 'subgroup_tex': 'C_{193}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 3130246
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1158, 'counter': 115, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.384.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '384.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.563', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 563, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{192}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1158.4', 'subgroup_hash': 4, 'subgroup_order': 1158, 'subgroup_tex': 'C_3\\times D_{193}', 'supersolvable': True, 'sylow': 0}
-
id: 3130247
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1158, 'counter': 116, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.384.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '384.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.563', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 563, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{192}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1158.1', 'subgroup_hash': 1, 'subgroup_order': 1158, 'subgroup_tex': 'C_{193}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 3130248
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 96, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.386.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '386.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': 386, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1152.2456', 'subgroup_hash': 1994011952017814, 'subgroup_order': 1152, 'subgroup_tex': 'C_{12}\\times C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130249
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 48, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.386.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '386.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': 386, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1152.2487', 'subgroup_hash': 1994011958017864, 'subgroup_order': 1152, 'subgroup_tex': 'C_6\\times C_{192}', 'supersolvable': True, 'sylow': 0}
-
id: 3130250
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 772, 'counter': 119, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.576.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '576.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '576.1364', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 1364, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '772.4', 'subgroup_hash': 4, 'subgroup_order': 772, 'subgroup_tex': 'D_{386}', 'supersolvable': True, 'sylow': 0}
-
id: 3130252
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 18528, 'characteristic': True, 'core_order': 772, 'counter': 120, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.576.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '576.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '576.1340', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 1340, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '772.2', 'subgroup_hash': 2, 'subgroup_order': 772, 'subgroup_tex': 'C_{772}', 'supersolvable': True, 'sylow': 0}
-
id: 3130253
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 772, 'counter': 121, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.576.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '576.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '576.1364', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 1364, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '772.1', 'subgroup_hash': 1, 'subgroup_order': 772, 'subgroup_tex': 'C_{193}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 3130254
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 772, 'counter': 122, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.576.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '576.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '576.182', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 182, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{192}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '772.3', 'subgroup_hash': 3, 'subgroup_order': 772, 'subgroup_tex': 'C_{193}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 3130255
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 96, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.579.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '579.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': 579, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.497', 'subgroup_hash': 497, 'subgroup_order': 768, 'subgroup_tex': 'C_4\\times C_{192}', 'supersolvable': True, 'sylow': 0}
-
id: 3130256
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 32, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.579.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '579.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': 579, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.497', 'subgroup_hash': 497, 'subgroup_order': 768, 'subgroup_tex': 'C_4\\times C_{192}', 'supersolvable': True, 'sylow': 0}
-
id: 3130257
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 18528, 'characteristic': True, 'core_order': 579, 'counter': 125, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.768.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.497', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 497, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{192}', 'simple': False, 'solvable': True, 'special_labels': ['C9', 'C9'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '579.2', 'subgroup_hash': 2, 'subgroup_order': 579, 'subgroup_tex': 'C_{579}', 'supersolvable': True, 'sylow': 0}
-
id: 3130258
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 579, 'counter': 126, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.768.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '768.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.497', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 497, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{192}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '579.1', 'subgroup_hash': 1, 'subgroup_order': 579, 'subgroup_tex': 'C_{193}:C_3', 'supersolvable': True, 'sylow': 0}
-
id: 3130259
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 48, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.772.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '772.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': 772, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '576.1340', 'subgroup_hash': 1340, 'subgroup_order': 576, 'subgroup_tex': 'C_{12}\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130260
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 96, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.772.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '772.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': 772, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '576.1364', 'subgroup_hash': 1364, 'subgroup_order': 576, 'subgroup_tex': 'C_6\\times C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130261
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 48, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.772.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '772.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': 772, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '576.1364', 'subgroup_hash': 1364, 'subgroup_order': 576, 'subgroup_tex': 'C_6\\times C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130263
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 24, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.772.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '772.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': 772, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '576.182', 'subgroup_hash': 182, 'subgroup_order': 576, 'subgroup_tex': 'C_3\\times C_{192}', 'supersolvable': True, 'sylow': 0}
-
id: 3130264
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 18528, 'characteristic': True, 'core_order': 386, 'counter': 131, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.1152.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1152.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1152.2456', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 1994011952017814, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1152, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '386.2', 'subgroup_hash': 2, 'subgroup_order': 386, 'subgroup_tex': 'C_{386}', 'supersolvable': True, 'sylow': 0}
-
id: 3130265
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 386, 'counter': 132, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '444672.e.1152.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1152.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1152.2487', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 1994011958017864, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1152, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times C_{192}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '386.1', 'subgroup_hash': 1, 'subgroup_order': 386, 'subgroup_tex': 'D_{193}', 'supersolvable': True, 'sylow': 0}
-
id: 3130266
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 96, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.1158.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1158.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': 1158, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.532', 'subgroup_hash': 532, 'subgroup_order': 384, 'subgroup_tex': 'C_4\\times C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130267
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 48, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.1158.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1158.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': 1158, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.563', 'subgroup_hash': 563, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\times C_{192}', 'supersolvable': True, 'sylow': 0}
-
id: 3130268
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 32, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.1158.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1158.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': 1158, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.532', 'subgroup_hash': 532, 'subgroup_order': 384, 'subgroup_tex': 'C_4\\times C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130269
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 16, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.1158.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1158.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': 1158, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.563', 'subgroup_hash': 563, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\times C_{192}', 'supersolvable': True, 'sylow': 0}
-
id: 3130270
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 24, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.1544.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1544.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': 1544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.314', 'subgroup_hash': 314, 'subgroup_order': 288, 'subgroup_tex': 'C_{12}\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130271
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 48, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.1544.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1544.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': 1544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.327', 'subgroup_hash': 327, 'subgroup_order': 288, 'subgroup_tex': 'C_6\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130272
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 24, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.1544.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1544.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': 1544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.327', 'subgroup_hash': 327, 'subgroup_order': 288, 'subgroup_tex': 'C_6\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130274
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 96, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.1544.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1544.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': 1544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.66', 'subgroup_hash': 66, 'subgroup_order': 288, 'subgroup_tex': 'C_3\\times C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130275
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 48, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.1544.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1544.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': 1544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.66', 'subgroup_hash': 66, 'subgroup_order': 288, 'subgroup_tex': 'C_3\\times C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130276
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 24, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.1544.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1544.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': 1544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.66', 'subgroup_hash': 66, 'subgroup_order': 288, 'subgroup_tex': 'C_3\\times C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130277
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 32, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '444672.e.1737.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1737.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': 1737, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.497', 'subgroup_hash': 497, 'subgroup_order': 256, 'subgroup_tex': 'C_4\\times C_{64}', 'supersolvable': True, 'sylow': 2}
-
id: 3130278
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 18528, 'characteristic': True, 'core_order': 193, 'counter': 144, 'cyclic': True, 'direct': False, 'hall': 193, 'label': '444672.e.2304.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '2304.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 1994011952017718, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2304, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times C_{192}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C10', 'D', 'L1', 'D1', 'C10'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '193.1', 'subgroup_hash': 1, 'subgroup_order': 193, 'subgroup_tex': 'C_{193}', 'supersolvable': True, 'sylow': 193}
-
id: 3130279
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 48, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.2316.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2316.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': 2316, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.151', 'subgroup_hash': 151, 'subgroup_order': 192, 'subgroup_tex': 'C_4\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130280
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 96, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.2316.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2316.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': 2316, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.175', 'subgroup_hash': 175, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130281
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 48, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.2316.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2316.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': 2316, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.175', 'subgroup_hash': 175, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130282
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 16, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.2316.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2316.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': 2316, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.151', 'subgroup_hash': 151, 'subgroup_order': 192, 'subgroup_tex': 'C_4\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130283
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 32, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.2316.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2316.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': 2316, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.175', 'subgroup_hash': 175, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130285
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 16, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.2316.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2316.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': 2316, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.175', 'subgroup_hash': 175, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130286
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 24, 'counter': 151, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.2316.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2316.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': 2316, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.2', 'subgroup_hash': 2, 'subgroup_order': 192, 'subgroup_tex': 'C_{192}', 'supersolvable': True, 'sylow': 0}
-
id: 3130287
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 8, 'counter': 152, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.2316.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2316.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': 2316, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.2', 'subgroup_hash': 2, 'subgroup_order': 192, 'subgroup_tex': 'C_{192}', 'supersolvable': True, 'sylow': 0}
-
id: 3130288
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 12, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.3088.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3088.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': 3088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.101', 'subgroup_hash': 101, 'subgroup_order': 144, 'subgroup_tex': 'C_{12}^2', 'supersolvable': True, 'sylow': 0}
-
id: 3130289
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 24, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.3088.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3088.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': 3088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.104', 'subgroup_hash': 104, 'subgroup_order': 144, 'subgroup_tex': 'C_6\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130290
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 12, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.3088.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3088.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': 3088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.104', 'subgroup_hash': 104, 'subgroup_order': 144, 'subgroup_tex': 'C_6\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130291
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 48, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.3088.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3088.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': 3088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.30', 'subgroup_hash': 30, 'subgroup_order': 144, 'subgroup_tex': 'C_3\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130292
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 24, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.3088.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3088.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': 3088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.30', 'subgroup_hash': 30, 'subgroup_order': 144, 'subgroup_tex': 'C_3\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130293
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 12, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.3088.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3088.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': 3088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.30', 'subgroup_hash': 30, 'subgroup_order': 144, 'subgroup_tex': 'C_3\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130294
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 32, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.3474.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3474.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': 3474, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.128', 'subgroup_hash': 128, 'subgroup_order': 128, 'subgroup_tex': 'C_4\\times C_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 3130296
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 16, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.3474.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3474.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': 3474, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.159', 'subgroup_hash': 159, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_{64}', 'supersolvable': True, 'sylow': 0}
-
id: 3130297
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 444672, 'characteristic': True, 'core_order': 96, 'counter': 161, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.4632.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4632.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4587610107742586117, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 4632, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{193}:C_{24}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0', 'Z', 'U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.2', 'subgroup_hash': 2, 'subgroup_order': 96, 'subgroup_tex': 'C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130298
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 24, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.4632.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4632.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': 4632, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130299
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 48, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.4632.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4632.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': 4632, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130300
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 24, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.4632.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4632.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': 4632, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130301
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 8, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.4632.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4632.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': 4632, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130302
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 16, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.4632.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4632.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': 4632, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130303
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 8, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.4632.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4632.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': 4632, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130304
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 48, 'counter': 168, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.4632.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4632.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': 4632, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.2', 'subgroup_hash': 2, 'subgroup_order': 96, 'subgroup_tex': 'C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130305
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 24, 'counter': 169, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.4632.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4632.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': 4632, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.2', 'subgroup_hash': 2, 'subgroup_order': 96, 'subgroup_tex': 'C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130307
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 32, 'counter': 170, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.4632.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4632.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': 4632, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.2', 'subgroup_hash': 2, 'subgroup_order': 96, 'subgroup_tex': 'C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130308
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 16, 'counter': 171, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.4632.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4632.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': 4632, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.2', 'subgroup_hash': 2, 'subgroup_order': 96, 'subgroup_tex': 'C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130309
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 8, 'counter': 172, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.4632.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4632.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': 4632, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.2', 'subgroup_hash': 2, 'subgroup_order': 96, 'subgroup_tex': 'C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 3130310
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 12, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.6176.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6176.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': 6176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.36', 'subgroup_hash': 36, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130311
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 6, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.6176.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6176.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': 6176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.36', 'subgroup_hash': 36, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130312
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 24, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.6176.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6176.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': 6176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.14', 'subgroup_hash': 14, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130313
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 12, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.6176.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6176.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': 6176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.14', 'subgroup_hash': 14, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130314
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 6, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.6176.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6176.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': 6176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.14', 'subgroup_hash': 14, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130315
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 16, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.6948.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6948.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': 6948, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.26', 'subgroup_hash': 26, 'subgroup_order': 64, 'subgroup_tex': 'C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 3130316
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 32, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.6948.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6948.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': 6948, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.50', 'subgroup_hash': 50, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 3130318
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 16, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.6948.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6948.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': 6948, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.50', 'subgroup_hash': 50, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 3130319
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 8, 'counter': 181, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.6948.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6948.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': 6948, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.1', 'subgroup_hash': 1, 'subgroup_order': 64, 'subgroup_tex': 'C_{64}', 'supersolvable': True, 'sylow': 0}
-
id: 3130320
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 444672, 'characteristic': True, 'core_order': 48, 'counter': 182, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.9264.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '9264.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3293599666644544114, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 9264, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{193}:(C_2\\times C_{24})', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130321
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 12, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.9264.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9264.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': 9264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130322
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 24, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.9264.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9264.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': 9264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130323
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 12, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.9264.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9264.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': 9264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130324
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 4, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.9264.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9264.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': 9264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130325
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 8, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.9264.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9264.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': 9264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130326
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 4, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.9264.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9264.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': 9264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130327
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 24, 'counter': 189, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.9264.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9264.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': 9264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130329
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 12, 'counter': 190, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.9264.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9264.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': 9264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130330
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 16, 'counter': 191, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.9264.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9264.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': 9264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130331
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 8, 'counter': 192, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.9264.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9264.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': 9264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130332
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 4, 'counter': 193, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.9264.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9264.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': 9264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 3130333
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 6, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.12352.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12352.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': 12352, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
-
id: 3130334
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 12, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.12352.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12352.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': 12352, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130335
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 6, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.12352.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12352.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': 12352, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130336
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 3, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.12352.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12352.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': 12352, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130337
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 444672, 'characteristic': True, 'core_order': 32, 'counter': 198, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.13896.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '13896.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4685229242541153991, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 13896, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{193}:(C_3\\times C_{24})', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.1', 'subgroup_hash': 1, 'subgroup_order': 32, 'subgroup_tex': 'C_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 3130338
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 8, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.13896.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13896.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': 13896, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 3130341
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 16, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.13896.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13896.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': 13896, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 3130342
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 8, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.13896.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13896.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': 13896, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 3130343
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 16, 'counter': 202, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.13896.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13896.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': 13896, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.1', 'subgroup_hash': 1, 'subgroup_order': 32, 'subgroup_tex': 'C_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 3130344
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 8, 'counter': 203, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.13896.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13896.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': 13896, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.1', 'subgroup_hash': 1, 'subgroup_order': 32, 'subgroup_tex': 'C_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 3130345
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 444672, 'characteristic': True, 'core_order': 24, 'counter': 204, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.18528.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18528.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2330375476365671875, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18528, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{193}:(C_4\\times C_{24})', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130346
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 12, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.18528.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18528.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': 18528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130347
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 6, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.18528.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18528.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': 18528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130348
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 4, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.18528.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18528.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': 18528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130349
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 2, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.18528.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18528.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': 18528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130350
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 12, 'counter': 209, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.18528.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18528.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': 18528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130352
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 6, 'counter': 210, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.18528.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18528.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': 18528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130353
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 8, 'counter': 211, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.18528.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18528.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': 18528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130354
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 4, 'counter': 212, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.18528.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18528.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': 18528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130355
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 2, 'counter': 213, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.18528.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18528.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': 18528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 3130356
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 6, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.24704.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24704.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': 24704, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 3130357
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 3, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.24704.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24704.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': 24704, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 3130358
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 444672, 'characteristic': True, 'core_order': 16, 'counter': 216, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.27792.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '27792.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3961026930268972173, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 27792, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{193}:(C_6\\times C_{24})', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 3130359
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 4, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.27792.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27792.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': 27792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 3130360
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 8, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.27792.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27792.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': 27792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 3130361
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 4, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.27792.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27792.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': 27792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 3130363
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 8, 'counter': 220, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.27792.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27792.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': 27792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 3130364
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 4, 'counter': 221, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.27792.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27792.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': 27792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 3130365
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 444672, 'characteristic': True, 'core_order': 12, 'counter': 222, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.37056.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '37056.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1232563411833790522, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 37056, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{1544}.C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130366
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 6, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.37056.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '37056.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': 37056, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 3130367
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 2, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.37056.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '37056.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': 37056, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 3130368
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 6, 'counter': 225, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.37056.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '37056.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': 37056, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130369
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 4, 'counter': 226, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.37056.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '37056.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': 37056, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130370
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 2, 'counter': 227, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.37056.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '37056.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': 37056, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130371
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 3, 'counter': 228, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.37056.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '37056.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': 37056, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130372
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 1, 'counter': 229, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.37056.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '37056.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': 37056, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 3130374
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 3, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '444672.e.49408.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '49408.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': 49408, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 3}
-
id: 3130375
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 444672, 'characteristic': True, 'core_order': 8, 'counter': 231, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.55584.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '55584.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6557819641845231618, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 55584, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{2316}.C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 3130376
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 4, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.55584.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '55584.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': 55584, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 3130377
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 2, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.55584.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '55584.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': 55584, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 3130378
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 4, 'counter': 234, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.55584.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '55584.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': 55584, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 3130379
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 2, 'counter': 235, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.55584.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '55584.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': 55584, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 3130380
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 444672, 'characteristic': True, 'core_order': 6, 'counter': 236, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.74112.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '74112.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1646310506848306563, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 74112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{3088}.C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 3130381
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 2, 'counter': 237, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.74112.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '74112.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': 74112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 3130382
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 3, 'counter': 238, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.74112.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '74112.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': 74112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 3130383
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 1, 'counter': 239, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.74112.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '74112.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': 74112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 3130385
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 444672, 'characteristic': True, 'core_order': 4, 'counter': 240, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.111168.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '111168.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1385414039330649723, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 111168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{4632}.C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 3130386
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 2, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '444672.e.111168.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '111168.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': 111168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 3130387
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 2, 'counter': 242, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.111168.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '111168.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': 111168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 3130388
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 1, 'counter': 243, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.111168.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '111168.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': 111168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 3130389
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 444672, 'characteristic': True, 'core_order': 3, 'counter': 244, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '444672.e.148224.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '148224.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5413501884093102053, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 148224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{6176}.C_{24}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
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id: 3130390
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 1, 'counter': 245, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.148224.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '148224.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': 148224, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
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id: 3130391
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 444672, 'characteristic': True, 'core_order': 2, 'counter': 246, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '444672.e.222336.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '222336.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6777501968409412823, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 222336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{9264}.C_{24}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 3130392
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 1, 'counter': 247, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '444672.e.222336.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '222336.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': 222336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 3130393
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '444672.e', 'ambient_counter': 5, 'ambient_order': 444672, 'ambient_tex': 'C_{18528}.C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 444672, 'characteristic': True, 'core_order': 1, 'counter': 248, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '444672.e.444672.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '444672.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '444672.e', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 64080698816835847, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 444672, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{18528}.C_{24}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D2', 'C11', 'PC', 'U1', 'D2', 'C11'], '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: 3130293
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '3088.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.f1', '1544.c1'], 'contains': ['6176.d1', '9264.i1', '9264.l1'], 'core': '37056.a1', 'coset_action_label': None, 'count': 386, 'diagramx': [4747, -1, 3849, -1], 'generators': [299898, 222336, 333504, 218600, 148224, 105276], 'label': '444672.e.3088.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '3088.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3088.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 3130294
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '3474.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1', '1158.a1', '1158.c1', '1737.a1'], 'contains': ['6948.a1', '6948.b1', '6948.c1'], 'core': '13896.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [8637, -1, 8076, -1], 'generators': [13896, 6], 'label': '444672.e.3474.a1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '3474.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3474.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 3130418
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.e1', '12.e1'], 'contains': ['48.j1', '72.e1', '4632.k1'], 'core': '24.k1', 'coset_action_label': None, 'count': 3, 'diagramx': [6942, 3146, 6712, 8567], 'generators': [166752, 333504, 222336, 83376, 390632, 194484, 2304], 'label': '444672.e.24.k1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.k1', 'normal_contained_in': ['8.e1', '12.e1'], 'normal_contains': ['48.j1', '72.e1'], 'normalizer': '1.a1', 'old_label': '24.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 3130467
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '128.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['64.a1', '64.d1'], 'contains': ['256.a1', '384.c1', '384.d1', '24704.b1'], 'core': '128.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [506, 9508, 603, 795], 'generators': [388956, 389096, 2304, 148224], 'label': '444672.e.128.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '128.b1', 'normal_contained_in': ['64.a1', '64.d1'], 'normal_contains': ['256.a1', '384.c1', '384.d1'], 'normalizer': '1.a1', 'old_label': '128.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 3130468
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '144.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '48.d1', '72.a1'], 'contains': ['288.a1', '288.b1', '27792.b1'], 'core': '144.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2322, 7696, 1526, 1554], 'generators': [222336, 2304, 144732, 333504, 394926], 'label': '444672.e.144.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '144.a1', 'normal_contained_in': ['48.a1', '48.d1', '72.a1'], 'normal_contains': ['288.a1', '288.b1'], 'normalizer': '1.a1', 'old_label': '144.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 3130295
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1'], 'contains': ['16.b1', '16.f1', '24.c1', '24.f1', '1544.c1'], 'core': '8.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4995, 5454, 4155, 4076], 'generators': [438780, 2304, 222336, 111168, 148224, 244314, 166752, 389096], 'label': '444672.e.8.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.b1', '16.f1', '24.c1', '24.f1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 3130296
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '3474.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.b1', '1158.b1', '1158.d1', '1737.a1'], 'contains': ['6948.c1', '6948.d1'], 'core': '27792.a1', 'coset_action_label': None, 'count': 386, 'diagramx': [9627, -1, 9333, -1], 'generators': [228177, 27792], 'label': '444672.e.3474.b1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '3474.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3474.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 3130297
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '4632.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.g1', '1544.d1', '2316.b1'], 'contains': ['9264.a1', '13896.a1'], 'core': '4632.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7126, 3717, 7491, 9045], 'generators': [13896, 222336, 111168, 148224, 27792, 55584], 'label': '444672.e.4632.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4632.a1', 'normal_contained_in': ['24.g1'], 'normal_contains': ['9264.a1', '13896.a1'], 'normalizer': '1.a1', 'old_label': '4632.a1', 'projective_image': None, 'quotient_action_image': '1.1', 'quotient_action_kernel': None, 'quotient_action_kernel_order': 4632, 'quotient_fusion': None, 'short_label': '4632.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 3130298
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '4632.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '1544.a1', '2316.a1'], 'contains': ['9264.b1', '9264.c1', '9264.d1', '13896.b1'], 'core': '18528.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [3776, -1, 3094, -1], 'generators': [228174, 222336, 333504, 166752, 148224, 255900], 'label': '444672.e.4632.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '4632.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4632.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 3130299
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '4632.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '1544.b1', '2316.a1', '2316.b1', '2316.c1'], 'contains': ['9264.a1', '9264.c1', '9264.h1', '13896.c1'], 'core': '9264.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [6530, -1, 6905, -1], 'generators': [27792, 222336, 111168, 12, 148224, 55584], 'label': '444672.e.4632.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '4632.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4632.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 3130300
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '4632.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1', '1544.c1', '2316.a1'], 'contains': ['9264.c1', '9264.i1', '13896.d1'], 'core': '18528.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [4934, -1, 4983, -1], 'generators': [244314, 222336, 111168, 166752, 148224, 438780], 'label': '444672.e.4632.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '4632.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4632.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 3130301
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '4632.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['24.d1', '1544.a1', '2316.d1'], 'contains': ['9264.e1', '9264.f1', '9264.g1', '13896.b1'], 'core': '55584.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [4261, -1, 2933, -1], 'generators': [228174, 222336, 333504, 166752, 266216, 255900], 'label': '444672.e.4632.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '4632.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4632.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 3130302
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '4632.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['24.e1', '1544.b1', '2316.d1', '2316.e1', '2316.f1'], 'contains': ['9264.f1', '9264.j1', '9264.k1', '13896.c1'], 'core': '27792.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [7328, -1, 6154, -1], 'generators': [27792, 222336, 111168, 6924, 389864, 55584], 'label': '444672.e.4632.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '4632.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4632.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 3130303
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '4632.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['24.f1', '1544.c1', '2316.d1'], 'contains': ['9264.f1', '9264.l1', '13896.d1'], 'core': '55584.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [5419, -1, 4822, -1], 'generators': [244314, 222336, 111168, 166752, 70376, 438780], 'label': '444672.e.4632.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '4632.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4632.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130304
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '4632.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1', '1544.e1', '2316.b1'], 'contains': ['9264.a1', '13896.e1'], 'core': '9264.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [6327, -1, 7578, -1], 'generators': [194484, 222336, 333504, 148224, 83376, 166752], 'label': '444672.e.4632.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '4632.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4632.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130305
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '4632.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.i1', '1544.f1', '2316.c1', '2316.g1'], 'contains': ['9264.h1', '13896.f1'], 'core': '18528.a1', 'coset_action_label': None, 'count': 386, 'diagramx': [8019, -1, 8802, -1], 'generators': [55458, 222336, 333504, 148224, 233868, 166752], 'label': '444672.e.4632.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '4632.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4632.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130306
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1'], 'contains': ['16.d1', '24.g1', '24.j1', '1544.d1'], 'core': '8.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [7596, 4158, 6287, 9676], 'generators': [55584, 2304, 222336, 111168, 27792, 13896, 389096, 148224], 'label': '444672.e.8.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': ['4.b1'], 'normal_contains': ['16.d1', '24.g1', '24.j1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130307
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '4632.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['24.j1', '1544.d1', '2316.e1'], 'contains': ['9264.j1', '13896.a1'], 'core': '13896.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [7675, -1, 6591, -1], 'generators': [13896, 222336, 111168, 390632, 27792, 55584], 'label': '444672.e.4632.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '4632.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4632.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130308
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '4632.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['24.k1', '1544.e1', '2316.e1'], 'contains': ['9264.j1', '13896.e1'], 'core': '27792.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [6844, -1, 6677, -1], 'generators': [194484, 222336, 333504, 390632, 83376, 166752], 'label': '444672.e.4632.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '4632.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4632.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130309
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '4632.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['24.l1', '1544.f1', '2316.f1', '2316.h1'], 'contains': ['9264.k1', '13896.f1'], 'core': '55584.a1', 'coset_action_label': None, 'count': 1158, 'diagramx': [8952, -1, 8716, -1], 'generators': [55458, 222336, 333504, 439784, 233868, 166752], 'label': '444672.e.4632.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '4632.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4632.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130310
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '6176.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '3088.a1', '3088.b1', '3088.c1'], 'contains': ['12352.a1', '12352.b1', '12352.c1', '18528.b1', '18528.d1'], 'core': '37056.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [2728, -1, 1932, -1], 'generators': [250140, 222336, 333504, 389096, 148224], 'label': '444672.e.6176.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '6176.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6176.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130311
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '6176.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '3088.a1'], 'contains': ['12352.a1', '12352.d1', '18528.c1', '18528.e1'], 'core': '74112.a1', 'coset_action_label': None, 'count': 386, 'diagramx': [1218, -1, 401, -1], 'generators': [283758, 367068, 222336, 414440, 148224], 'label': '444672.e.6176.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '6176.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6176.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130312
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '6176.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1', '3088.b1', '3088.d1', '3088.e1'], 'contains': ['12352.b1', '18528.a1', '18528.h1'], 'core': '18528.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [4934, -1, 5393, -1], 'generators': [166752, 222336, 389096, 148224, 333504], 'label': '444672.e.6176.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '6176.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6176.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130313
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '6176.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1', '3088.b1', '3088.f1'], 'contains': ['12352.b1', '18528.f1', '18528.i1'], 'core': '37056.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [4026, -1, 3892, -1], 'generators': [194556, 222336, 389096, 148224, 111168], 'label': '444672.e.6176.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '6176.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6176.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130314
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '6176.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.e1', '3088.c1'], 'contains': ['12352.c1', '18528.g1', '18528.j1'], 'core': '74112.a1', 'coset_action_label': None, 'count': 386, 'diagramx': [2977, -1, 2092, -1], 'generators': [117006, 222336, 414440, 148224, 33564], 'label': '444672.e.6176.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '6176.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6176.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130315
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '6948.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.a1', '2316.a1', '2316.d1', '3474.a1'], 'contains': ['13896.b1', '13896.c1', '13896.d1'], 'core': '27792.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [6155, -1, 5380, -1], 'generators': [244314, 21900], 'label': '444672.e.6948.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '6948.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6948.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130316
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '6948.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.b1', '2316.b1', '2316.e1', '3474.a1'], 'contains': ['13896.a1', '13896.c1', '13896.e1'], 'core': '13896.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [7673, -1, 7958, -1], 'generators': [13896, 12], 'label': '444672.e.6948.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '6948.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6948.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130317
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1'], 'contains': ['16.d1', '24.h1', '24.k1', '1544.e1'], 'core': '8.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [6337, 3206, 6513, 8521], 'generators': [166752, 2304, 222336, 333504, 83376, 194484, 389096, 148224], 'label': '444672.e.8.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': ['4.b1'], 'normal_contains': ['16.d1', '24.h1', '24.k1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130228
{'ambient': '444672.e', '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': '4632.a1', 'complements': ['444672.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '3.a1', '3.b1', '193.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9512, 1624, 8450, 7152], 'generators': [333504, 2304, 222336, 148224, 13896, 3, 389096, 166752, 6, 27792, 12], 'label': '444672.e.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '3.a1', '3.b1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': None, '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': None}
-
id: 3130229
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '6.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.b1', '12.c1', '18.a1', '1158.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8104, 2541, 7772, 7828], 'generators': [2304, 12, 13896, 6, 148224, 222336, 27792, 166752, 333504], 'label': '444672.e.6.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['12.a1', '12.b1', '12.c1', '18.a1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130230
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '192.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.g1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.b1', '96.a1', '96.e1', '96.f1'], 'contains': ['384.a1', '576.b1', '37056.a1'], 'core': '192.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3506, 6388, 3849, 3985], 'generators': [333504, 148224, 222336, 2304], 'label': '444672.e.192.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.c1', 'normal_contained_in': ['64.b1', '96.a1', '96.e1', '96.f1'], 'normal_contains': ['384.a1', '576.b1', '37056.a1'], 'normalizer': '1.a1', 'old_label': '192.c1', 'projective_image': None, 'quotient_action_image': '24.2', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '192.c1', 'subgroup_fusion': None, 'weyl_group': '24.2'}
-
id: 3130231
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '192.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.c1', '96.a1', '96.g1'], 'contains': ['384.a1', '576.c1', '37056.d1'], 'core': '192.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [2087, 7622, 2367, 2645], 'generators': [277788, 148224, 2304, 222336], 'label': '444672.e.192.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.d1', 'normal_contained_in': ['64.c1', '96.a1', '96.g1'], 'normal_contains': ['384.a1', '576.c1'], 'normalizer': '1.a1', 'old_label': '192.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130232
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '192.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['64.b1', '96.c1', '96.h1', '96.i1'], 'contains': ['384.b1', '576.b1', '37056.e1'], 'core': '192.e1', 'coset_action_label': None, 'count': 3, 'diagramx': [3696, 6648, 3698, 3735], 'generators': [333504, 390632, 2304, 222336], 'label': '444672.e.192.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.e1', 'normal_contained_in': ['64.b1', '96.c1', '96.h1', '96.i1'], 'normal_contains': ['384.b1', '576.b1'], 'normalizer': '1.a1', 'old_label': '192.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130233
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '192.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['64.c1', '96.c1', '96.j1'], 'contains': ['384.b1', '576.c1', '37056.f1'], 'core': '192.f1', 'coset_action_label': None, 'count': 3, 'diagramx': [2498, 8107, 2191, 2354], 'generators': [277788, 389096, 2304, 222336], 'label': '444672.e.192.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.f1', 'normal_contained_in': ['64.c1', '96.c1', '96.j1'], 'normal_contains': ['384.b1', '576.c1'], 'normalizer': '1.a1', 'old_label': '192.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130234
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '192.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': ['2316.h1'], 'conjugacy_class_count': 4, 'contained_in': ['64.d1', '96.b1'], 'contains': ['384.c1', '576.d1', '37056.g1'], 'core': '192.g1', 'coset_action_label': None, 'count': 4, 'diagramx': [208, 9869, 403, 466], 'generators': [283758, 148224, 2304, 367068], 'label': '444672.e.192.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.g1', 'normal_contained_in': ['64.d1', '96.b1'], 'normal_contains': ['384.c1', '576.d1'], 'normalizer': '1.a1', 'old_label': '192.g1', 'projective_image': None, 'quotient_action_image': '24.2', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '192.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130235
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '192.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': ['2316.g1', '2316.h1'], 'conjugacy_class_count': 12, 'contained_in': ['64.d1', '96.d1'], 'contains': ['384.d1', '576.d1', '37056.h1'], 'core': '192.h1', 'coset_action_label': None, 'count': 12, 'diagramx': [722, 9567, 228, 175], 'generators': [172590, 389096, 2304, 144732], 'label': '444672.e.192.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.h1', 'normal_contained_in': ['64.d1', '96.d1'], 'normal_contains': ['384.d1', '576.d1'], 'normalizer': '1.a1', 'old_label': '192.h1', 'projective_image': '444672.e', 'quotient_action_image': '8.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '192.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130236
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '193.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['386.a1', '386.b1', '579.a1', '579.b1'], 'core': '4632.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [9278, -1, 8234, -1], 'generators': [3, 333504, 6, 27792, 222336, 13896, 148224, 166752, 12, 389096], 'label': '444672.e.193.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '193.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '193.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130237
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '256.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': ['1737.a1'], 'conjugacy_class_count': 1, 'contained_in': ['128.a1', '128.b1'], 'contains': ['768.a1', '768.b1', '49408.a1'], 'core': '256.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [553, 9200, 1103, 1574], 'generators': [389096, 148224, 2304], 'label': '444672.e.256.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '256.a1', 'normal_contained_in': ['128.a1', '128.b1'], 'normal_contains': ['768.a1', '768.b1'], 'normalizer': '1.a1', 'old_label': '256.a1', 'projective_image': None, 'quotient_action_image': '8.1', 'quotient_action_kernel': '32.1', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '256.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130238
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '288.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.a1', '96.c1', '144.a1', '144.b1', '144.c1'], 'contains': ['576.a1', '576.b1', '576.c1', '55584.b1'], 'core': '288.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2674, 6851, 3173, 3161], 'generators': [277788, 333504, 2304, 222336], 'label': '444672.e.288.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '288.a1', 'normal_contained_in': ['96.a1', '96.c1', '144.a1', '144.b1', '144.c1'], 'normal_contains': ['576.a1', '576.b1', '576.c1'], 'normalizer': '1.a1', 'old_label': '288.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130239
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '288.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['96.b1', '96.d1', '144.a1'], 'contains': ['576.a1', '576.d1', '55584.c1'], 'core': '288.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1367, 8806, 1123, 1124], 'generators': [283758, 222336, 2304, 367068], 'label': '444672.e.288.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '288.b1', 'normal_contained_in': ['96.b1', '96.d1', '144.a1'], 'normal_contains': ['576.a1', '576.d1'], 'normalizer': '1.a1', 'old_label': '288.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130240
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.c1', '12.g1', '18.b1', '1158.b1'], 'core': '6.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [9429, 1015, 9324, 6926], 'generators': [2304, 366498, 27792, 228177, 148224, 222336, 252300, 166752, 333504], 'label': '444672.e.6.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1', 'normal_contained_in': ['2.b1', '3.a1'], 'normal_contains': ['12.c1', '12.g1', '18.b1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130241
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '288.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.g1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.e1', '96.h1', '144.b1', '144.d1', '144.e1'], 'contains': ['576.b1', '55584.a1'], 'core': '288.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5487, 4080, 5650, 5915], 'generators': [166752, 2304, 222336, 333504], 'label': '444672.e.288.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '288.c1', 'normal_contained_in': ['96.e1', '96.h1', '144.b1', '144.d1', '144.e1'], 'normal_contains': ['576.b1', '55584.a1'], 'normalizer': '1.a1', 'old_label': '288.c1', 'projective_image': None, 'quotient_action_image': '24.2', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '288.c1', 'subgroup_fusion': None, 'weyl_group': '24.2'}
-
id: 3130242
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '288.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.f1', '96.i1', '144.b1', '144.f1'], 'contains': ['576.b1', '55584.d1'], 'core': '288.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [4606, 5851, 4307, 4463], 'generators': [222204, 111168, 2304, 222336], 'label': '444672.e.288.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '288.d1', 'normal_contained_in': ['96.f1', '96.i1', '144.b1', '144.f1'], 'normal_contains': ['576.b1'], 'normalizer': '1.a1', 'old_label': '288.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130243
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '288.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['96.g1', '96.j1', '144.c1'], 'contains': ['576.c1', '55584.e1'], 'core': '288.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [3096, 7366, 3025, 2914], 'generators': [228174, 255900, 2304, 222336], 'label': '444672.e.288.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '288.e1', 'normal_contained_in': ['96.g1', '96.j1', '144.c1'], 'normal_contains': ['576.c1'], 'normalizer': '1.a1', 'old_label': '288.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130244
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '384.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.g1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.a1', '192.a1', '192.c1', '192.d1'], 'contains': ['768.a1', '1152.a1', '74112.a1'], 'core': '384.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1094, 8419, 2086, 2314], 'generators': [222336, 148224, 2304], 'label': '444672.e.384.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '384.a1', 'normal_contained_in': ['128.a1', '192.a1', '192.c1', '192.d1'], 'normal_contains': ['768.a1', '1152.a1', '74112.a1'], 'normalizer': '1.a1', 'old_label': '384.a1', 'projective_image': None, 'quotient_action_image': '24.2', 'quotient_action_kernel': '16.1', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '384.a1', 'subgroup_fusion': None, 'weyl_group': '24.2'}
-
id: 3130245
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '384.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['128.a1', '192.b1', '192.e1', '192.f1'], 'contains': ['768.b1', '1152.a1', '74112.b1'], 'core': '384.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [1520, 8159, 1935, 2064], 'generators': [222336, 390632, 2304], 'label': '444672.e.384.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '384.b1', 'normal_contained_in': ['128.a1', '192.b1', '192.e1', '192.f1'], 'normal_contains': ['768.b1', '1152.a1'], 'normalizer': '1.a1', 'old_label': '384.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130246
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '384.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['128.b1', '192.a1', '192.g1'], 'contains': ['768.a1', '1152.b1', '74112.c1'], 'core': '384.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [96, 9884, 918, 1269], 'generators': [388956, 148224, 2304], 'label': '444672.e.384.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '384.c1', 'normal_contained_in': ['128.b1', '192.a1', '192.g1'], 'normal_contains': ['768.a1', '1152.b1'], 'normalizer': '1.a1', 'old_label': '384.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130247
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '384.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['128.b1', '192.b1', '192.h1'], 'contains': ['768.b1', '1152.b1', '74112.d1'], 'core': '384.d1', 'coset_action_label': None, 'count': 6, 'diagramx': [854, 9357, 770, 1024], 'generators': [166620, 390632, 2304], 'label': '444672.e.384.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '384.d1', 'normal_contained_in': ['128.b1', '192.b1', '192.h1'], 'normal_contains': ['768.b1', '1152.b1'], 'normalizer': '1.a1', 'old_label': '384.d1', 'projective_image': '444672.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130248
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '386.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '193.a1'], 'contains': ['772.a1', '772.b1', '772.c1', '1158.a1', '1158.c1'], 'core': '4632.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [8071, -1, 7288, -1], 'generators': [13896, 222336, 27792, 12, 6, 148224, 111168, 55584, 389096], 'label': '444672.e.386.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '386.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '386.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130249
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '386.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '193.a1'], 'contains': ['772.c1', '772.d1', '1158.b1', '1158.d1'], 'core': '9264.a1', 'coset_action_label': None, 'count': 386, 'diagramx': [8962, -1, 8902, -1], 'generators': [3, 222336, 6, 12, 27792, 148224, 333504, 166752, 389096], 'label': '444672.e.386.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '386.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '386.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130250
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '576.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['192.a1', '192.b1', '288.a1', '288.b1'], 'contains': ['1152.a1', '1152.b1', '111168.b1'], 'core': '576.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1382, 8725, 1653, 1819], 'generators': [388956, 222336, 2304], 'label': '444672.e.576.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '576.a1', 'normal_contained_in': ['192.a1', '192.b1', '288.a1', '288.b1'], 'normal_contains': ['1152.a1', '1152.b1'], 'normalizer': '1.a1', 'old_label': '576.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130251
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '3.b1'], 'contains': ['12.d1', '12.e1', '12.f1', '18.a1', '1158.c1'], 'core': '6.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [8727, 2071, 7499, 7377], 'generators': [2304, 12, 13896, 6, 390632, 222336, 27792, 166752, 333504], 'label': '444672.e.6.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.c1', 'normal_contained_in': ['2.a1', '3.b1'], 'normal_contains': ['12.d1', '12.e1', '12.f1', '18.a1'], 'normalizer': '1.a1', 'old_label': '6.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130252
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '576.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.g1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['192.c1', '192.e1', '288.a1', '288.c1', '288.d1'], 'contains': ['1152.a1', '111168.a1'], 'core': '576.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3605, 6517, 3774, 3834], 'generators': [333504, 2304, 222336], 'label': '444672.e.576.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '576.b1', 'normal_contained_in': ['192.c1', '192.e1', '288.a1', '288.c1', '288.d1'], 'normal_contains': ['1152.a1', '111168.a1'], 'normalizer': '1.a1', 'old_label': '576.b1', 'projective_image': None, 'quotient_action_image': '24.2', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '576.b1', 'subgroup_fusion': None, 'weyl_group': '24.2'}
-
id: 3130253
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '576.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['192.d1', '192.f1', '288.a1', '288.e1'], 'contains': ['1152.a1', '111168.c1'], 'core': '576.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2591, 7622, 2451, 2645], 'generators': [277788, 222336, 2304], 'label': '444672.e.576.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '576.c1', 'normal_contained_in': ['192.d1', '192.f1', '288.a1', '288.e1'], 'normal_contains': ['1152.a1'], 'normalizer': '1.a1', 'old_label': '576.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130254
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '576.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': ['772.d1'], 'conjugacy_class_count': 4, 'contained_in': ['192.g1', '192.h1', '288.b1'], 'contains': ['1152.b1', '111168.d1'], 'core': '576.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [509, 9559, 511, 641], 'generators': [61422, 367068, 2304], 'label': '444672.e.576.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '576.d1', 'normal_contained_in': ['192.g1', '192.h1', '288.b1'], 'normal_contains': ['1152.b1'], 'normalizer': '1.a1', 'old_label': '576.d1', 'projective_image': '444672.e', 'quotient_action_image': '24.2', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '576.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130255
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '579.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '193.a1'], 'contains': ['1158.a1', '1158.b1', '1737.a1'], 'core': '4632.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [9140, -1, 8498, -1], 'generators': [3, 222336, 27792, 12, 13896, 6, 333504, 166752, 148224], 'label': '444672.e.579.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '579.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '579.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130256
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '579.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['3.b1', '193.a1'], 'contains': ['1158.c1', '1158.d1', '1737.a1'], 'core': '13896.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [9493, -1, 8328, -1], 'generators': [3, 222336, 27792, 12, 13896, 6, 333504, 166752, 92648], 'label': '444672.e.579.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '579.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '579.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130257
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '768.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.g1', 'complements': ['579.b1'], 'conjugacy_class_count': 1, 'contained_in': ['256.a1', '384.a1', '384.c1'], 'contains': ['2304.a1', '148224.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [86, 9170, 1227, 1955], 'generators': [148224, 2304], 'label': '444672.e.768.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '768.a1', 'normal_contained_in': ['256.a1', '384.a1', '384.c1'], 'normal_contains': ['2304.a1', '148224.a1'], 'normalizer': '1.a1', 'old_label': '768.a1', 'projective_image': None, 'quotient_action_image': '24.2', 'quotient_action_kernel': '32.1', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '768.a1', 'subgroup_fusion': None, 'weyl_group': '24.2'}
-
id: 3130258
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '768.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': ['579.a1', '579.b1'], 'conjugacy_class_count': 3, 'contained_in': ['256.a1', '384.b1', '384.d1'], 'contains': ['2304.a1', '148224.b1'], 'core': '768.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [854, 8979, 1116, 1673], 'generators': [390632, 2304], 'label': '444672.e.768.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '768.b1', 'normal_contained_in': ['256.a1', '384.b1', '384.d1'], 'normal_contains': ['2304.a1'], 'normalizer': '1.a1', 'old_label': '768.b1', 'projective_image': '444672.e', 'quotient_action_image': '8.1', 'quotient_action_kernel': '96.2', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '768.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130259
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '772.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '386.a1'], 'contains': ['1544.a1', '1544.b1', '1544.c1', '2316.a1', '2316.d1'], 'core': '9264.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [5678, -1, 4700, -1], 'generators': [244314, 438780, 166752, 21900, 148224, 222336, 111168, 218600], 'label': '444672.e.772.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '772.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '772.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130260
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '772.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '386.a1'], 'contains': ['1544.b1', '1544.d1', '1544.e1', '2316.b1', '2316.e1'], 'core': '4632.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [6844, -1, 6707, -1], 'generators': [13896, 27792, 55584, 12, 148224, 222336, 111168, 389096], 'label': '444672.e.772.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '772.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '772.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130261
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '772.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '386.a1', '386.b1'], 'contains': ['1544.b1', '1544.f1', '2316.c1', '2316.f1'], 'core': '9264.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [8284, -1, 7927, -1], 'generators': [6, 12, 166752, 27792, 148224, 222336, 333504, 389096], 'label': '444672.e.772.c1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '772.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '772.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130262
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['2.b1', '3.b1'], 'contains': ['12.f1', '12.h1', '18.b1', '1158.d1'], 'core': '6.d1', 'coset_action_label': None, 'count': 6, 'diagramx': [9833, 592, 9078, 6521], 'generators': [2304, 366498, 27792, 228177, 389096, 222336, 252300, 166752, 333504], 'label': '444672.e.6.d1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.d1', 'normal_contained_in': ['2.b1', '3.b1'], 'normal_contains': ['12.f1', '12.h1', '18.b1'], 'normalizer': '1.a1', 'old_label': '6.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130263
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '772.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.d1', '386.b1'], 'contains': ['1544.f1', '2316.g1', '2316.h1'], 'core': '18528.a1', 'coset_action_label': None, 'count': 772, 'diagramx': [8868, -1, 9545, -1], 'generators': [75, 281388, 277920, 315368, 334230, 222336, 111168, 148224], 'label': '444672.e.772.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '772.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '772.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130264
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '1152.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.g1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['384.a1', '384.b1', '576.a1', '576.b1', '576.c1'], 'contains': ['2304.a1', '222336.a1'], 'core': '1152.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1523, 8305, 2010, 2176], 'generators': [222336, 2304], 'label': '444672.e.1152.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1152.a1', 'normal_contained_in': ['384.a1', '384.b1', '576.a1', '576.b1', '576.c1'], 'normal_contains': ['2304.a1', '222336.a1'], 'normalizer': '1.a1', 'old_label': '1152.a1', 'projective_image': None, 'quotient_action_image': '24.2', 'quotient_action_kernel': '48.2', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '1152.a1', 'subgroup_fusion': None, 'weyl_group': '24.2'}
-
id: 3130265
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '1152.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['384.c1', '384.d1', '576.a1', '576.d1'], 'contains': ['2304.a1', '222336.b1'], 'core': '1152.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [391, 9357, 924, 1269], 'generators': [166620, 2304], 'label': '444672.e.1152.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '1152.b1', 'normal_contained_in': ['384.c1', '384.d1', '576.a1', '576.d1'], 'normal_contains': ['2304.a1'], 'normalizer': '1.a1', 'old_label': '1152.b1', 'projective_image': '444672.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1152.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130266
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '1158.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '386.a1', '579.a1'], 'contains': ['2316.a1', '2316.b1', '2316.c1', '3474.a1'], 'core': '4632.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [7987, -1, 7530, -1], 'generators': [13896, 12, 55584, 6, 27792, 222336, 111168, 148224], 'label': '444672.e.1158.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '1158.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1158.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130267
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '1158.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.b1', '386.b1', '579.a1'], 'contains': ['2316.c1', '2316.g1', '3474.b1'], 'core': '9264.a1', 'coset_action_label': None, 'count': 386, 'diagramx': [9086, -1, 9140, -1], 'generators': [3, 12, 166752, 27792, 6, 222336, 333504, 148224], 'label': '444672.e.1158.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '1158.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1158.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130268
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '1158.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['6.c1', '386.a1', '579.b1'], 'contains': ['2316.d1', '2316.e1', '2316.f1', '3474.a1'], 'core': '13896.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [8590, -1, 7370, -1], 'generators': [13896, 12, 55584, 6, 27792, 222336, 111168, 240872], 'label': '444672.e.1158.c1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '1158.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1158.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130269
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '1158.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['6.d1', '386.b1', '579.b1'], 'contains': ['2316.f1', '2316.h1', '3474.b1'], 'core': '27792.a1', 'coset_action_label': None, 'count': 1158, 'diagramx': [9595, -1, 8971, -1], 'generators': [228177, 252300, 166752, 27792, 366498, 222336, 333504, 46568], 'label': '444672.e.1158.d1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '3.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '1158.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1158.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130270
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '1544.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '772.a1'], 'contains': ['3088.a1', '3088.b1', '3088.c1', '4632.b1', '4632.e1'], 'core': '18528.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [3877, -1, 2816, -1], 'generators': [228174, 333504, 255900, 166752, 222336, 414440, 148224], 'label': '444672.e.1544.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '1544.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1544.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130271
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '1544.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '772.a1', '772.b1', '772.c1'], 'contains': ['3088.b1', '3088.d1', '3088.e1', '4632.c1', '4632.f1'], 'core': '9264.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [6665, -1, 5546, -1], 'generators': [27792, 111168, 55584, 12, 222336, 389096, 148224], 'label': '444672.e.1544.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '1544.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1544.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130272
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '1544.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '772.a1'], 'contains': ['3088.b1', '3088.f1', '4632.d1', '4632.g1'], 'core': '18528.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [4841, -1, 4056, -1], 'generators': [244314, 111168, 438780, 166752, 222336, 218600, 148224], 'label': '444672.e.1544.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '1544.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1544.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130318
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '6948.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.c1', '2316.c1', '2316.f1', '3474.a1', '3474.b1'], 'contains': ['13896.c1', '13896.f1'], 'core': '27792.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [8829, -1, 8396, -1], 'generators': [6, 27792], 'label': '444672.e.6948.c1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '36.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '6948.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6948.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130319
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '6948.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.d1', '2316.g1', '2316.h1', '3474.b1'], 'contains': ['13896.f1'], 'core': '55584.a1', 'coset_action_label': None, 'count': 772, 'diagramx': [9521, -1, 9461, -1], 'generators': [153], 'label': '444672.e.6948.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '6948.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6948.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130361
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '27792.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.c1', '9264.d1', '9264.g1', '13896.b1'], 'contains': ['55584.b1', '55584.e1'], 'core': '111168.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [3727, -1, 3326, -1], 'generators': [228174, 333504], 'label': '444672.e.27792.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '144.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '27792.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27792.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130383
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '74112.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['384.d1', '24704.b1', '37056.c1', '37056.h1'], 'contains': ['148224.b1', '222336.b1'], 'core': '444672.a1', 'coset_action_label': None, 'count': 1158, 'diagramx': [842, -1, 770, -1], 'generators': [375132, 390632], 'label': '444672.e.74112.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '192.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '74112.d1', 'projective_image': '444672.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '74112.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130273
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1'], 'contains': ['16.a1', '16.b1', '16.c1', '24.a1', '24.d1', '1544.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3744, 6841, 3028, 2899], 'generators': [255900, 2304, 222336, 333504, 148224, 228174, 166752, 389096], 'label': '444672.e.8.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.a1', '16.b1', '16.c1', '24.a1', '24.d1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130274
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '1544.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1', '772.b1'], 'contains': ['3088.d1', '4632.a1', '4632.j1'], 'core': '4632.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [7266, -1, 6169, -1], 'generators': [13896, 111168, 55584, 389096, 222336, 148224, 27792], 'label': '444672.e.1544.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '1544.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1544.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130275
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '1544.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1', '772.b1'], 'contains': ['3088.d1', '4632.h1', '4632.k1'], 'core': '9264.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [6367, -1, 6329, -1], 'generators': [180660, 333504, 166752, 389096, 222336, 148224, 83376], 'label': '444672.e.1544.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '1544.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1544.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130276
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '1544.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.f1', '772.c1', '772.d1'], 'contains': ['3088.e1', '4632.i1', '4632.l1'], 'core': '18528.a1', 'coset_action_label': None, 'count': 386, 'diagramx': [8199, -1, 8793, -1], 'generators': [55458, 333504, 166752, 439784, 222336, 148224, 233868], 'label': '444672.e.1544.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '1544.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1544.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130277
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '1737.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1', '579.a1', '579.b1'], 'contains': ['3474.a1', '3474.b1'], 'core': '13896.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [9364, -1, 8806, -1], 'generators': [3, 13896], 'label': '444672.e.1737.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '1737.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1737.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130278
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '2304.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.g1', 'complements': ['193.a1'], 'conjugacy_class_count': 1, 'contained_in': ['768.a1', '768.b1', '1152.a1', '1152.b1'], 'contains': ['444672.a1'], 'core': '2304.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [367, 9158, 1197, 1955], 'generators': [2304], 'label': '444672.e.2304.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '2304.a1', 'normal_contained_in': ['768.a1', '768.b1', '1152.a1', '1152.b1'], 'normal_contains': ['444672.a1'], 'normalizer': '1.a1', 'old_label': '2304.a1', 'projective_image': '444672.e', 'quotient_action_image': '24.2', 'quotient_action_kernel': '96.2', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '2304.a1', 'subgroup_fusion': None, 'weyl_group': '24.2'}
-
id: 3130279
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '2316.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '772.a1', '1158.a1'], 'contains': ['4632.b1', '4632.c1', '4632.d1', '6948.a1'], 'core': '9264.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [5608, -1, 4923, -1], 'generators': [244314, 111168, 166752, 21900, 222336, 148224, 438780], 'label': '444672.e.2316.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '2316.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2316.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130280
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '2316.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1', '772.b1', '1158.a1'], 'contains': ['4632.a1', '4632.c1', '4632.h1', '6948.b1'], 'core': '4632.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [6875, -1, 7679, -1], 'generators': [13896, 111168, 55584, 12, 222336, 148224, 27792], 'label': '444672.e.2316.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '2316.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2316.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130281
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '2316.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '772.c1', '1158.a1', '1158.b1'], 'contains': ['4632.c1', '4632.i1', '6948.c1'], 'core': '9264.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [8340, -1, 8396, -1], 'generators': [6, 333504, 166752, 27792, 222336, 148224, 12], 'label': '444672.e.2316.c1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '2316.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2316.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130282
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '2316.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['12.d1', '772.a1', '1158.c1'], 'contains': ['4632.e1', '4632.f1', '4632.g1', '6948.a1'], 'core': '27792.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [5858, -1, 4763, -1], 'generators': [244314, 111168, 389088, 133068, 222336, 70376, 438780], 'label': '444672.e.2316.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '2316.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2316.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130283
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '2316.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['12.e1', '772.b1', '1158.c1'], 'contains': ['4632.f1', '4632.j1', '4632.k1', '6948.b1'], 'core': '13896.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [7643, -1, 6869, -1], 'generators': [13896, 111168, 55584, 12, 222336, 389096, 27792], 'label': '444672.e.2316.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '2316.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2316.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130284
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1'], 'contains': ['16.b1', '16.d1', '16.e1', '24.b1', '24.e1', '1544.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6775, 3668, 5744, 5864], 'generators': [166752, 2304, 222336, 333504, 148224, 12, 27792, 389096], 'label': '444672.e.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1'], 'normal_contains': ['16.b1', '16.d1', '16.e1', '24.b1', '24.e1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130285
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '2316.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['12.f1', '772.c1', '1158.c1', '1158.d1'], 'contains': ['4632.f1', '4632.l1', '6948.c1'], 'core': '27792.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [8805, -1, 8236, -1], 'generators': [6, 333504, 166752, 27792, 222336, 240872, 12], 'label': '444672.e.2316.f1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '2316.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2316.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130286
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '2316.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.g1', '772.d1', '1158.b1'], 'contains': ['4632.i1', '6948.d1'], 'core': '18528.a1', 'coset_action_label': None, 'count': 772, 'diagramx': [8965, -1, 9556, -1], 'generators': [153, 111168, 277920, 148224, 222336, 327474, 317100], 'label': '444672.e.2316.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '2316.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2316.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130287
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '2316.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['12.h1', '772.d1', '1158.d1'], 'contains': ['4632.l1', '6948.d1'], 'core': '55584.a1', 'coset_action_label': None, 'count': 2316, 'diagramx': [9465, -1, 9461, -1], 'generators': [153, 111168, 277920, 146408, 222336, 327474, 317100], 'label': '444672.e.2316.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '2316.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2316.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130288
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '3088.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '1544.a1'], 'contains': ['6176.a1', '6176.b1', '9264.b1', '9264.e1'], 'core': '37056.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [2216, -1, 1214, -1], 'generators': [394926, 222336, 144732, 333504, 414440, 148224], 'label': '444672.e.3088.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '3088.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3088.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130289
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '3088.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '1544.a1', '1544.b1', '1544.c1'], 'contains': ['6176.a1', '6176.c1', '6176.d1', '9264.c1', '9264.f1'], 'core': '18528.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [4496, -1, 3689, -1], 'generators': [194556, 222336, 111168, 166752, 389096, 148224], 'label': '444672.e.3088.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '3088.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3088.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130290
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '3088.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '1544.a1'], 'contains': ['6176.a1', '6176.e1', '9264.d1', '9264.g1'], 'core': '37056.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [3025, -1, 2253, -1], 'generators': [228174, 222336, 255900, 333504, 414440, 148224], 'label': '444672.e.3088.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '3088.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3088.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130291
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '3088.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '1544.b1', '1544.d1', '1544.e1'], 'contains': ['6176.c1', '9264.a1', '9264.j1'], 'core': '9264.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [6249, -1, 5767, -1], 'generators': [27792, 222336, 111168, 389096, 148224, 55584], 'label': '444672.e.3088.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '3088.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3088.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130292
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '3088.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1', '1544.b1', '1544.f1'], 'contains': ['6176.c1', '9264.h1', '9264.k1'], 'core': '18528.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [7016, -1, 6314, -1], 'generators': [12, 222336, 333504, 389096, 148224, 166752], 'label': '444672.e.3088.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '3088.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3088.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130320
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '9264.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.g1', '3088.d1', '4632.a1', '4632.c1', '4632.h1'], 'contains': ['18528.a1', '27792.a1'], 'core': '9264.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5788, 3717, 6677, 8357], 'generators': [27792, 222336, 148224, 55584, 111168], 'label': '444672.e.9264.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '9264.a1', 'normal_contained_in': ['48.g1', '4632.a1'], 'normal_contains': ['18528.a1', '27792.a1'], 'normalizer': '1.a1', 'old_label': '9264.a1', 'projective_image': None, 'quotient_action_image': '1.1', 'quotient_action_kernel': None, 'quotient_action_kernel_order': 9264, 'quotient_fusion': None, 'short_label': '9264.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130321
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '9264.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '3088.a1', '4632.b1'], 'contains': ['18528.b1', '18528.c1', '27792.b1'], 'core': '37056.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [2080, -1, 1346, -1], 'generators': [394926, 222336, 333504, 148224, 144732], 'label': '444672.e.9264.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '9264.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9264.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130322
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '9264.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.b1', '3088.b1', '4632.b1', '4632.c1', '4632.d1'], 'contains': ['18528.a1', '18528.b1', '18528.f1', '27792.c1'], 'core': '18528.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [4512, -1, 4651, -1], 'generators': [222204, 222336, 166752, 148224, 111168], 'label': '444672.e.9264.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '9264.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9264.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130323
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '9264.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.c1', '3088.c1', '4632.b1'], 'contains': ['18528.b1', '18528.g1', '27792.d1'], 'core': '37056.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [3196, -1, 3161, -1], 'generators': [228174, 222336, 333504, 148224, 255900], 'label': '444672.e.9264.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '9264.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9264.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130324
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '9264.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['48.d1', '3088.a1', '4632.e1'], 'contains': ['18528.d1', '18528.e1', '27792.b1'], 'core': '111168.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [2377, -1, 1186, -1], 'generators': [394926, 222336, 333504, 117992, 144732], 'label': '444672.e.9264.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '9264.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9264.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130325
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '9264.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['48.e1', '3088.b1', '4632.e1', '4632.f1', '4632.g1'], 'contains': ['18528.d1', '18528.h1', '18528.i1', '27792.c1'], 'core': '55584.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [5013, -1, 4404, -1], 'generators': [208380, 222336, 166752, 390632, 111168], 'label': '444672.e.9264.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '9264.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9264.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130326
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '9264.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['48.f1', '3088.c1', '4632.e1'], 'contains': ['18528.d1', '18528.j1', '27792.d1'], 'core': '111168.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [3682, -1, 3001, -1], 'generators': [228174, 222336, 333504, 266216, 255900], 'label': '444672.e.9264.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '9264.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9264.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130327
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '9264.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1', '3088.e1', '4632.c1', '4632.i1'], 'contains': ['18528.a1', '27792.e1'], 'core': '18528.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [6955, -1, 7029, -1], 'generators': [12, 222336, 148224, 166752, 333504], 'label': '444672.e.9264.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '9264.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9264.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130328
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '4.d1'], 'contains': ['16.e1', '24.i1', '24.l1', '1544.f1'], 'core': '8.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [8390, 1215, 8612, 5421], 'generators': [166752, 2304, 222336, 333504, 233868, 55458, 389096, 148224], 'label': '444672.e.8.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': ['4.c1', '4.d1'], 'normal_contains': ['16.e1', '24.i1', '24.l1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130329
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '9264.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.i1', '3088.f1', '4632.d1'], 'contains': ['18528.f1', '27792.f1'], 'core': '37056.a1', 'coset_action_label': None, 'count': 386, 'diagramx': [4716, -1, 4775, -1], 'generators': [244314, 222336, 148224, 438780, 111168], 'label': '444672.e.9264.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '9264.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9264.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130330
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '9264.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['48.j1', '3088.d1', '4632.f1', '4632.j1', '4632.k1'], 'contains': ['18528.h1', '27792.a1'], 'core': '27792.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [6750, -1, 6154, -1], 'generators': [27792, 222336, 390632, 55584, 111168], 'label': '444672.e.9264.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '9264.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9264.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130331
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '9264.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['48.k1', '3088.e1', '4632.f1', '4632.l1'], 'contains': ['18528.h1', '27792.e1'], 'core': '55584.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [7327, -1, 6393, -1], 'generators': [13836, 222336, 390632, 166752, 333504], 'label': '444672.e.9264.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '9264.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9264.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130332
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '9264.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['48.l1', '3088.f1', '4632.g1'], 'contains': ['18528.i1', '27792.f1'], 'core': '111168.a1', 'coset_action_label': None, 'count': 1158, 'diagramx': [5325, -1, 4528, -1], 'generators': [244314, 222336, 218600, 438780, 111168], 'label': '444672.e.9264.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '9264.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9264.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130333
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '12352.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '6176.a1', '6176.b1'], 'contains': ['24704.a1', '24704.b1', '37056.b1', '37056.c1'], 'core': '74112.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [1556, -1, 1263, -1], 'generators': [361308, 222336, 389096, 148224], 'label': '444672.e.12352.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '12352.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12352.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130334
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '12352.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.b1', '6176.a1', '6176.c1', '6176.d1'], 'contains': ['24704.a1', '37056.a1', '37056.e1'], 'core': '37056.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [3291, -1, 3518, -1], 'generators': [333504, 389096, 148224, 222336], 'label': '444672.e.12352.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '12352.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12352.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130335
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '12352.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.c1', '6176.a1', '6176.e1'], 'contains': ['24704.a1', '37056.d1', '37056.f1'], 'core': '74112.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [2471, -1, 2035, -1], 'generators': [250140, 389096, 148224, 222336], 'label': '444672.e.12352.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '12352.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12352.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130336
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '12352.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['64.d1', '6176.b1'], 'contains': ['24704.b1', '37056.g1', '37056.h1'], 'core': '148224.a1', 'coset_action_label': None, 'count': 772, 'diagramx': [610, -1, 71, -1], 'generators': [61422, 414440, 148224, 367068], 'label': '444672.e.12352.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '12352.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12352.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130337
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '13896.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['72.d1', '4632.a1', '4632.j1', '6948.b1'], 'contains': ['27792.a1'], 'core': '13896.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7712, 4016, 7491, 8888], 'generators': [13896], 'label': '444672.e.13896.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '13896.a1', 'normal_contained_in': ['72.d1', '4632.a1'], 'normal_contains': ['27792.a1'], 'normalizer': '1.a1', 'old_label': '13896.a1', 'projective_image': None, 'quotient_action_image': '1.1', 'quotient_action_kernel': None, 'quotient_action_kernel_order': 13896, 'quotient_fusion': None, 'short_label': '13896.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130338
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '13896.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.a1', '4632.b1', '4632.e1', '6948.a1'], 'contains': ['27792.b1', '27792.c1', '27792.d1'], 'core': '55584.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [4466, -1, 3518, -1], 'generators': [228174, 166752], 'label': '444672.e.13896.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '72.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '13896.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13896.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130339
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.c1', '6.a1', '6.c1', '386.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8104, 2453, 7499, 6926], 'generators': [222336, 2304, 148224, 13896, 6, 389096, 333504, 12, 27792, 166752], 'label': '444672.e.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.c1', '6.a1', '6.c1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130340
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': ['49408.a1'], 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '3.b1'], 'contains': ['18.a1', '18.b1', '1737.a1'], 'core': '9.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9846, 1805, 8700, 8279], 'generators': [2304, 27792, 13896, 3, 6, 222336, 12, 166752, 333504], 'label': '444672.e.9.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.a1', 'normal_contained_in': ['3.a1', '3.b1'], 'normal_contains': ['18.a1', '18.b1'], 'normalizer': '1.a1', 'old_label': '9.a1', 'projective_image': None, 'quotient_action_image': '3.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '9.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130341
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '13896.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.b1', '4632.c1', '4632.f1', '6948.a1', '6948.b1', '6948.c1'], 'contains': ['27792.a1', '27792.c1', '27792.e1'], 'core': '27792.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [7250, -1, 6905, -1], 'generators': [27792, 12], 'label': '444672.e.13896.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '72.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '13896.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13896.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130342
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '13896.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.c1', '4632.d1', '4632.g1', '6948.a1'], 'contains': ['27792.c1', '27792.f1'], 'core': '55584.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [5716, -1, 5221, -1], 'generators': [244314, 166752], 'label': '444672.e.13896.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '72.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '13896.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13896.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130343
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '13896.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.e1', '4632.h1', '4632.k1', '6948.b1'], 'contains': ['27792.a1'], 'core': '27792.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [6909, -1, 7578, -1], 'generators': [194484], 'label': '444672.e.13896.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '72.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '13896.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13896.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130344
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '13896.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.f1', '4632.i1', '4632.l1', '6948.c1', '6948.d1'], 'contains': ['27792.e1'], 'core': '55584.a1', 'coset_action_label': None, 'count': 386, 'diagramx': [8911, -1, 8759, -1], 'generators': [55458], 'label': '444672.e.13896.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '72.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '13896.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13896.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130345
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '18528.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.e1', '6176.c1', '9264.a1', '9264.c1', '9264.h1'], 'contains': ['37056.a1', '55584.a1'], 'core': '18528.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5059, 3739, 5555, 6073], 'generators': [166752, 148224, 333504, 222336], 'label': '444672.e.18528.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '18528.a1', 'normal_contained_in': ['96.e1', '9264.a1'], 'normal_contains': ['37056.a1', '55584.a1'], 'normalizer': '1.a1', 'old_label': '18528.a1', 'projective_image': None, 'quotient_action_image': '1.1', 'quotient_action_kernel': None, 'quotient_action_kernel_order': 18528, 'quotient_fusion': None, 'short_label': '18528.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130346
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '18528.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.a1', '6176.a1', '9264.b1', '9264.c1', '9264.d1'], 'contains': ['37056.a1', '37056.b1', '37056.d1', '55584.b1'], 'core': '37056.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [2722, -1, 2881, -1], 'generators': [277788, 333504, 148224, 222336], 'label': '444672.e.18528.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '96.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '18528.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18528.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130347
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '18528.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.b1', '6176.b1', '9264.b1'], 'contains': ['37056.b1', '37056.g1', '55584.c1'], 'core': '74112.a1', 'coset_action_label': None, 'count': 386, 'diagramx': [1015, -1, 943, -1], 'generators': [394926, 222336, 148224, 144732], 'label': '444672.e.18528.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '18528.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18528.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130348
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '18528.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['96.c1', '6176.a1', '9264.e1', '9264.f1', '9264.g1'], 'contains': ['37056.c1', '37056.e1', '37056.f1', '55584.b1'], 'core': '111168.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [3396, -1, 2547, -1], 'generators': [263964, 333504, 390632, 222336], 'label': '444672.e.18528.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '18528.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18528.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130349
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '18528.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['96.d1', '6176.b1', '9264.e1'], 'contains': ['37056.c1', '37056.h1', '55584.c1'], 'core': '222336.a1', 'coset_action_label': None, 'count': 1158, 'diagramx': [1312, -1, 783, -1], 'generators': [283758, 222336, 414440, 367068], 'label': '444672.e.18528.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '18528.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18528.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130350
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '18528.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.f1', '6176.d1', '9264.c1', '9264.i1'], 'contains': ['37056.a1', '55584.d1'], 'core': '37056.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [4042, -1, 4201, -1], 'generators': [222204, 148224, 111168, 222336], 'label': '444672.e.18528.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '96.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '18528.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18528.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130351
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '12.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '6.a1'], 'contains': ['24.a1', '24.b1', '24.c1', '36.a1', '2316.a1'], 'core': '12.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5285, 4935, 5184, 4978], 'generators': [55584, 2304, 222336, 111168, 438780, 244314, 27792, 148224], 'label': '444672.e.12.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1'], 'normal_contains': ['24.a1', '24.b1', '24.c1', '36.a1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130352
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '18528.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.g1', '6176.e1', '9264.d1'], 'contains': ['37056.d1', '55584.e1'], 'core': '74112.a1', 'coset_action_label': None, 'count': 386, 'diagramx': [2924, -1, 2757, -1], 'generators': [117006, 148224, 33564, 222336], 'label': '444672.e.18528.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '18528.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18528.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130353
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '18528.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['96.h1', '6176.c1', '9264.f1', '9264.j1', '9264.k1'], 'contains': ['37056.e1', '55584.a1'], 'core': '55584.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [5498, -1, 5468, -1], 'generators': [166752, 390632, 333504, 222336], 'label': '444672.e.18528.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '18528.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18528.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130354
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '18528.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['96.i1', '6176.d1', '9264.f1', '9264.l1'], 'contains': ['37056.e1', '55584.d1'], 'core': '111168.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [4261, -1, 4071, -1], 'generators': [208380, 390632, 111168, 222336], 'label': '444672.e.18528.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '18528.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18528.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130355
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '18528.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['96.j1', '6176.e1', '9264.g1'], 'contains': ['37056.f1', '55584.e1'], 'core': '222336.a1', 'coset_action_label': None, 'count': 1158, 'diagramx': [3069, -1, 2671, -1], 'generators': [117006, 266216, 33564, 222336], 'label': '444672.e.18528.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '18528.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18528.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130356
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '24704.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.a1', '12352.a1', '12352.b1', '12352.c1'], 'contains': ['49408.a1', '74112.a1', '74112.b1'], 'core': '74112.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [1848, -1, 1768, -1], 'generators': [222336, 389096, 148224], 'label': '444672.e.24704.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '128.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '24704.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24704.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130357
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '24704.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['128.b1', '12352.a1', '12352.d1'], 'contains': ['49408.a1', '74112.c1', '74112.d1'], 'core': '148224.a1', 'coset_action_label': None, 'count': 386, 'diagramx': [592, -1, 640, -1], 'generators': [138972, 389096, 148224], 'label': '444672.e.24704.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '24704.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24704.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130358
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '27792.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['144.d1', '9264.a1', '9264.j1', '13896.a1', '13896.c1', '13896.e1'], 'contains': ['55584.a1'], 'core': '27792.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6909, 4002, 6772, 8278], 'generators': [27792], 'label': '444672.e.27792.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '27792.a1', 'normal_contained_in': ['144.d1', '9264.a1', '13896.a1'], 'normal_contains': ['55584.a1'], 'normalizer': '1.a1', 'old_label': '27792.a1', 'projective_image': None, 'quotient_action_image': '1.1', 'quotient_action_kernel': None, 'quotient_action_kernel_order': 27792, 'quotient_fusion': None, 'short_label': '27792.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130359
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '27792.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.a1', '9264.b1', '9264.e1', '13896.b1'], 'contains': ['55584.b1', '55584.c1'], 'core': '111168.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [2283, -1, 1914, -1], 'generators': [394926, 333504], 'label': '444672.e.27792.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '144.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '27792.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27792.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130360
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '27792.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.b1', '9264.c1', '9264.f1', '13896.b1', '13896.c1', '13896.d1'], 'contains': ['55584.a1', '55584.b1', '55584.d1'], 'core': '55584.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [5350, -1, 4651, -1], 'generators': [222204, 166752], 'label': '444672.e.27792.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '144.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '27792.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27792.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130362
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '6.a1'], 'contains': ['24.b1', '24.g1', '24.h1', '36.b1', '2316.b1'], 'core': '12.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7316, 2542, 7135, 9233], 'generators': [55584, 2304, 222336, 111168, 27792, 12, 13896, 148224], 'label': '444672.e.12.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': ['4.b1', '6.a1'], 'normal_contains': ['24.b1', '24.g1', '24.h1', '36.b1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130363
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '27792.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.e1', '9264.h1', '9264.k1', '13896.c1', '13896.f1'], 'contains': ['55584.a1'], 'core': '55584.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [7594, -1, 6967, -1], 'generators': [12], 'label': '444672.e.27792.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '144.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '27792.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27792.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130364
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '27792.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['144.f1', '9264.i1', '9264.l1', '13896.d1'], 'contains': ['55584.d1'], 'core': '111168.a1', 'coset_action_label': None, 'count': 386, 'diagramx': [5212, -1, 4775, -1], 'generators': [244314], 'label': '444672.e.27792.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '144.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '27792.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27792.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130365
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '37056.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['192.c1', '12352.b1', '18528.a1', '18528.b1', '18528.f1'], 'contains': ['74112.a1', '111168.a1'], 'core': '37056.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3270, 6393, 3682, 3985], 'generators': [333504, 148224, 222336], 'label': '444672.e.37056.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '37056.a1', 'normal_contained_in': ['192.c1', '18528.a1'], 'normal_contains': ['74112.a1', '111168.a1'], 'normalizer': '1.a1', 'old_label': '37056.a1', 'projective_image': None, 'quotient_action_image': '1.1', 'quotient_action_kernel': None, 'quotient_action_kernel_order': 37056, 'quotient_fusion': None, 'short_label': '37056.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130366
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '37056.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.a1', '12352.a1', '18528.b1', '18528.c1'], 'contains': ['74112.a1', '74112.c1', '111168.b1'], 'core': '74112.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [1095, -1, 1538, -1], 'generators': [388956, 222336, 148224], 'label': '444672.e.37056.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '192.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '37056.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '37056.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130367
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '37056.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['192.b1', '12352.a1', '18528.d1', '18528.e1'], 'contains': ['74112.b1', '74112.d1', '111168.b1'], 'core': '222336.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [1639, -1, 1404, -1], 'generators': [375132, 222336, 390632], 'label': '444672.e.37056.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '192.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '37056.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '37056.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130368
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '37056.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.d1', '12352.c1', '18528.b1', '18528.g1'], 'contains': ['74112.a1', '111168.c1'], 'core': '74112.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [2266, -1, 2345, -1], 'generators': [277788, 148224, 222336], 'label': '444672.e.37056.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '192.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '37056.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '37056.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130369
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '37056.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['192.e1', '12352.b1', '18528.d1', '18528.h1', '18528.i1'], 'contains': ['74112.b1', '111168.a1'], 'core': '111168.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [3604, -1, 3596, -1], 'generators': [333504, 390632, 222336], 'label': '444672.e.37056.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '192.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '37056.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '37056.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130370
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '37056.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['192.f1', '12352.c1', '18528.d1', '18528.j1'], 'contains': ['74112.b1', '111168.c1'], 'core': '222336.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [2756, -1, 2214, -1], 'generators': [263964, 390632, 222336], 'label': '444672.e.37056.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '37056.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '37056.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130371
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '37056.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.g1', '12352.d1', '18528.c1'], 'contains': ['74112.c1', '111168.d1'], 'core': '148224.a1', 'coset_action_label': None, 'count': 772, 'diagramx': [391, -1, 404, -1], 'generators': [61422, 148224, 367068], 'label': '444672.e.37056.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '96.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '37056.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '37056.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130372
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '37056.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['192.h1', '12352.d1', '18528.e1'], 'contains': ['74112.d1', '111168.d1'], 'core': '444672.a1', 'coset_action_label': None, 'count': 2316, 'diagramx': [810, -1, 318, -1], 'generators': [283758, 414440, 367068], 'label': '444672.e.37056.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '37056.h1', 'projective_image': '444672.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '37056.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130373
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '6.a1', '6.b1'], 'contains': ['24.b1', '24.i1', '36.c1', '2316.c1'], 'core': '12.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [8431, 1224, 8344, 7299], 'generators': [166752, 2304, 222336, 333504, 12, 6, 27792, 148224], 'label': '444672.e.12.c1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.c1', 'normal_contained_in': ['4.c1', '6.a1', '6.b1'], 'normal_contains': ['24.b1', '24.i1', '36.c1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130374
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '49408.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['256.a1', '24704.a1', '24704.b1'], 'contains': ['148224.a1', '148224.b1'], 'core': '148224.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [653, -1, 1013, -1], 'generators': [389096, 148224], 'label': '444672.e.49408.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '256.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '49408.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '49408.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130375
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '55584.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['288.c1', '18528.a1', '18528.h1', '27792.a1', '27792.c1', '27792.e1'], 'contains': ['111168.a1'], 'core': '55584.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5678, 4091, 5555, 5993], 'generators': [166752], 'label': '444672.e.55584.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '55584.a1', 'normal_contained_in': ['288.c1', '18528.a1', '27792.a1'], 'normal_contains': ['111168.a1'], 'normalizer': '1.a1', 'old_label': '55584.a1', 'projective_image': None, 'quotient_action_image': '1.1', 'quotient_action_kernel': None, 'quotient_action_kernel_order': 55584, 'quotient_fusion': None, 'short_label': '55584.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130376
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '55584.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['288.a1', '18528.b1', '18528.d1', '27792.b1', '27792.c1', '27792.d1'], 'contains': ['111168.a1', '111168.b1', '111168.c1'], 'core': '111168.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [3429, -1, 2881, -1], 'generators': [277788, 333504], 'label': '444672.e.55584.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '288.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '55584.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55584.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130377
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '55584.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['288.b1', '18528.c1', '18528.e1', '27792.b1'], 'contains': ['111168.b1', '111168.d1'], 'core': '222336.a1', 'coset_action_label': None, 'count': 386, 'diagramx': [1297, -1, 1270, -1], 'generators': [283758, 222336], 'label': '444672.e.55584.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '288.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '55584.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55584.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130378
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '55584.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['288.d1', '18528.f1', '18528.i1', '27792.c1', '27792.f1'], 'contains': ['111168.a1'], 'core': '111168.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [4716, -1, 4254, -1], 'generators': [222204], 'label': '444672.e.55584.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '288.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '55584.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55584.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130379
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '55584.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['288.e1', '18528.g1', '18528.j1', '27792.d1'], 'contains': ['111168.c1'], 'core': '222336.a1', 'coset_action_label': None, 'count': 386, 'diagramx': [2975, -1, 2757, -1], 'generators': [228174], 'label': '444672.e.55584.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '288.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '55584.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55584.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130380
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '74112.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['384.a1', '24704.a1', '37056.a1', '37056.b1', '37056.d1'], 'contains': ['148224.a1', '222336.a1'], 'core': '74112.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1556, 8414, 1927, 2314], 'generators': [222336, 148224], 'label': '444672.e.74112.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '74112.a1', 'normal_contained_in': ['384.a1', '37056.a1'], 'normal_contains': ['148224.a1', '222336.a1'], 'normalizer': '1.a1', 'old_label': '74112.a1', 'projective_image': None, 'quotient_action_image': '1.1', 'quotient_action_kernel': None, 'quotient_action_kernel_order': 74112, 'quotient_fusion': None, 'short_label': '74112.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130381
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '74112.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['384.b1', '24704.a1', '37056.c1', '37056.e1', '37056.f1'], 'contains': ['148224.b1', '222336.a1'], 'core': '222336.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [1909, -1, 1856, -1], 'generators': [222336, 390632], 'label': '444672.e.74112.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '384.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '74112.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '74112.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130382
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '74112.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['384.c1', '24704.b1', '37056.b1', '37056.g1'], 'contains': ['148224.a1', '222336.b1'], 'core': '148224.a1', 'coset_action_label': None, 'count': 386, 'diagramx': [404, -1, 841, -1], 'generators': [166620, 148224], 'label': '444672.e.74112.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '192.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '74112.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '74112.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130384
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.a1', '6.c1'], 'contains': ['24.d1', '24.e1', '24.f1', '36.a1', '2316.d1'], 'core': '12.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [5629, 4465, 4911, 4527], 'generators': [277920, 2304, 222336, 111168, 438780, 244314, 138960, 390632], 'label': '444672.e.12.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': ['4.a1', '6.c1'], 'normal_contains': ['24.d1', '24.e1', '24.f1', '36.a1'], 'normalizer': '1.a1', 'old_label': '12.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130385
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '111168.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['576.b1', '37056.a1', '37056.e1', '55584.a1', '55584.b1', '55584.d1'], 'contains': ['222336.a1'], 'core': '111168.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4292, 6485, 3682, 3908], 'generators': [333504], 'label': '444672.e.111168.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '111168.a1', 'normal_contained_in': ['576.b1', '37056.a1', '55584.a1'], 'normal_contains': ['222336.a1'], 'normalizer': '1.a1', 'old_label': '111168.a1', 'projective_image': None, 'quotient_action_image': '1.1', 'quotient_action_kernel': None, 'quotient_action_kernel_order': 111168, 'quotient_fusion': None, 'short_label': '111168.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130386
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '111168.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['576.a1', '37056.b1', '37056.c1', '55584.b1', '55584.c1'], 'contains': ['222336.a1', '222336.b1'], 'core': '222336.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [1630, -1, 1538, -1], 'generators': [388956, 222336], 'label': '444672.e.111168.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '576.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '111168.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '111168.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130387
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '111168.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['576.c1', '37056.d1', '37056.f1', '55584.b1', '55584.e1'], 'contains': ['222336.a1'], 'core': '222336.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [2803, -1, 2398, -1], 'generators': [277788], 'label': '444672.e.111168.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '576.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '111168.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '111168.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130388
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '111168.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['576.d1', '37056.g1', '37056.h1', '55584.c1'], 'contains': ['222336.b1'], 'core': '444672.a1', 'coset_action_label': None, 'count': 772, 'diagramx': [587, -1, 511, -1], 'generators': [394926], 'label': '444672.e.111168.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '144.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '111168.d1', 'projective_image': '444672.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '111168.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130389
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '148224.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['3.b1'], 'conjugacy_class_count': 1, 'contained_in': ['768.a1', '49408.a1', '74112.a1', '74112.c1'], 'contains': ['444672.a1'], 'core': '148224.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [451, 8764, 1113, 2112], 'generators': [148224], 'label': '444672.e.148224.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '148224.a1', 'normal_contained_in': ['768.a1', '74112.a1'], 'normal_contains': ['444672.a1'], 'normalizer': '1.a1', 'old_label': '148224.a1', 'projective_image': None, 'quotient_action_image': '1.1', 'quotient_action_kernel': None, 'quotient_action_kernel_order': 148224, 'quotient_fusion': None, 'short_label': '148224.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130390
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '148224.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['768.b1', '49408.a1', '74112.b1', '74112.d1'], 'contains': ['444672.a1'], 'core': '444672.a1', 'coset_action_label': None, 'count': 579, 'diagramx': [842, -1, 1042, -1], 'generators': [389864], 'label': '444672.e.148224.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '256.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '148224.b1', 'projective_image': '444672.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '148224.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130391
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '222336.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1152.a1', '74112.a1', '74112.b1', '111168.a1', '111168.b1', '111168.c1'], 'contains': ['444672.a1'], 'core': '222336.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1909, 8345, 1927, 2239], 'generators': [222336], 'label': '444672.e.222336.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '222336.a1', 'normal_contained_in': ['1152.a1', '74112.a1', '111168.a1'], 'normal_contains': ['444672.a1'], 'normalizer': '1.a1', 'old_label': '222336.a1', 'projective_image': None, 'quotient_action_image': '1.1', 'quotient_action_kernel': None, 'quotient_action_kernel_order': 222336, 'quotient_fusion': None, 'short_label': '222336.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130392
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '222336.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['1152.b1', '74112.c1', '74112.d1', '111168.b1', '111168.d1'], 'contains': ['444672.a1'], 'core': '444672.a1', 'coset_action_label': None, 'count': 386, 'diagramx': [587, -1, 883, -1], 'generators': [388956], 'label': '444672.e.222336.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '576.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1', 'old_label': '222336.b1', 'projective_image': '444672.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '222336.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130393
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '444672.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2304.a1', '148224.a1', '148224.b1', '222336.a1', '222336.b1'], 'contains': [], 'core': '444672.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [587, 8764, 1113, 2112], 'generators': [], 'label': '444672.e.444672.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '444672.a1', 'normal_contained_in': ['2304.a1', '148224.a1', '222336.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '444672.a1', 'projective_image': '444672.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '444672.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 3130394
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.b1', '6.c1'], 'contains': ['24.e1', '24.j1', '24.k1', '36.b1', '2316.e1'], 'core': '12.e1', 'coset_action_label': None, 'count': 3, 'diagramx': [7785, 3014, 6869, 8842], 'generators': [55584, 2304, 222336, 111168, 27792, 12, 13896, 389096], 'label': '444672.e.12.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': ['4.b1', '6.c1'], 'normal_contains': ['24.e1', '24.j1', '24.k1', '36.b1'], 'normalizer': '1.a1', 'old_label': '12.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130395
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.c1', '6.c1', '6.d1'], 'contains': ['24.e1', '24.l1', '36.c1', '2316.f1'], 'core': '12.f1', 'coset_action_label': None, 'count': 3, 'diagramx': [8929, 1647, 8099, 6521], 'generators': [166752, 2304, 222336, 333504, 12, 6, 27792, 389096], 'label': '444672.e.12.f1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.f1', 'normal_contained_in': ['4.c1', '6.c1', '6.d1'], 'normal_contains': ['24.e1', '24.l1', '36.c1'], 'normalizer': '1.a1', 'old_label': '12.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130396
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': ['37056.h1'], 'conjugacy_class_count': 4, 'contained_in': ['4.d1', '6.b1'], 'contains': ['24.i1', '36.d1', '2316.g1'], 'core': '12.g1', 'coset_action_label': None, 'count': 4, 'diagramx': [9185, 442, 9896, 6856], 'generators': [277920, 2304, 222336, 111168, 281388, 75, 148224, 334230], 'label': '444672.e.12.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.g1', 'normal_contained_in': ['4.d1', '6.b1'], 'normal_contains': ['24.i1', '36.d1'], 'normalizer': '1.a1', 'old_label': '12.g1', 'projective_image': None, 'quotient_action_image': '12.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '12.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130397
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': ['37056.g1', '37056.h1'], 'conjugacy_class_count': 12, 'contained_in': ['4.d1', '6.d1'], 'contains': ['24.l1', '36.d1', '2316.h1'], 'core': '12.h1', 'coset_action_label': None, 'count': 12, 'diagramx': [9659, 116, 9706, 6245], 'generators': [166752, 2304, 222336, 333504, 12, 3, 389096, 6], 'label': '444672.e.12.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.h1', 'normal_contained_in': ['4.d1', '6.d1'], 'normal_contains': ['24.l1', '36.d1'], 'normalizer': '1.a1', 'old_label': '12.h1', 'projective_image': None, 'quotient_action_image': '4.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130398
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1'], 'contains': ['32.a1', '32.b1', '48.a1', '48.d1', '3088.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1943, 8144, 1494, 1524], 'generators': [148224, 144732, 222336, 389096, 333504, 394926, 2304], 'label': '444672.e.16.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1'], 'normal_contains': ['32.a1', '32.b1', '48.a1', '48.d1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130399
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.c1', '4.d1', '6.b1', '6.d1', '386.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [9240, 1015, 9054, 6459], 'generators': [222336, 2304, 148224, 27792, 228177, 389096, 333504, 366498, 252300, 166752], 'label': '444672.e.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.c1', '4.d1', '6.b1', '6.d1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130400
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1', '8.c1'], 'contains': ['32.a1', '32.c1', '32.d1', '48.b1', '48.e1', '3088.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4365, 6447, 3594, 3977], 'generators': [148224, 111168, 222336, 389096, 166752, 222204, 2304], 'label': '444672.e.16.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1'], 'normal_contains': ['32.a1', '32.c1', '32.d1', '48.b1', '48.e1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130401
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1'], 'contains': ['32.a1', '32.e1', '48.c1', '48.f1', '3088.c1'], 'core': '16.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3107, 7277, 2352, 2234], 'generators': [148224, 255900, 222336, 389096, 333504, 228174, 2304], 'label': '444672.e.16.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': ['8.a1'], 'normal_contains': ['32.a1', '32.e1', '48.c1', '48.f1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130402
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '8.d1', '8.e1'], 'contains': ['32.c1', '48.g1', '48.j1', '3088.d1'], 'core': '16.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [5958, 4055, 5352, 8253], 'generators': [55584, 111168, 222336, 148224, 389096, 27792, 2304], 'label': '444672.e.16.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': ['8.b1', '8.d1', '8.e1'], 'normal_contains': ['32.c1', '48.g1', '48.j1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130403
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '8.f1'], 'contains': ['32.c1', '48.h1', '48.k1', '3088.e1'], 'core': '16.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [7191, 2253, 5975, 5711], 'generators': [166752, 333504, 222336, 148224, 389096, 12, 2304], 'label': '444672.e.16.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': ['8.b1', '8.f1'], 'normal_contains': ['32.c1', '48.h1', '48.k1'], 'normalizer': '1.a1', 'old_label': '16.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130404
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.c1'], 'contains': ['32.d1', '48.i1', '48.l1', '3088.f1'], 'core': '16.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [4703, 5757, 3862, 3534], 'generators': [105276, 333504, 222336, 148224, 389096, 299898, 2304], 'label': '444672.e.16.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': ['8.c1'], 'normal_contains': ['32.d1', '48.i1', '48.l1'], 'normalizer': '1.a1', 'old_label': '16.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130405
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '18.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '6.c1', '9.a1'], 'contains': ['36.a1', '36.b1', '36.c1', '3474.a1'], 'core': '18.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8802, 1881, 7729, 8140], 'generators': [166752, 2304, 222336, 333504, 27792, 6, 13896, 12], 'label': '444672.e.18.a1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.a1', 'normal_contained_in': ['6.a1', '6.c1', '9.a1'], 'normal_contains': ['36.a1', '36.b1', '36.c1'], 'normalizer': '1.a1', 'old_label': '18.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130406
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '18.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['6.b1', '6.d1', '9.a1'], 'contains': ['36.c1', '36.d1', '3474.b1'], 'core': '18.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [9760, 673, 9343, 7750], 'generators': [166752, 2304, 222336, 333504, 12, 3, 27792, 6], 'label': '444672.e.18.b1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.b1', 'normal_contained_in': ['6.b1', '6.d1', '9.a1'], 'normal_contains': ['36.c1', '36.d1'], 'normalizer': '1.a1', 'old_label': '18.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130407
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '24.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '12.a1'], 'contains': ['48.a1', '48.b1', '48.c1', '72.a1', '4632.b1'], 'core': '24.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3542, 6755, 3287, 3114], 'generators': [255900, 333504, 222336, 148224, 166752, 228174, 2304], 'label': '444672.e.24.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.a1'], 'normal_contains': ['48.a1', '48.b1', '48.c1', '72.a1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130408
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '12.a1', '12.b1', '12.c1'], 'contains': ['48.b1', '48.g1', '48.h1', '72.b1', '4632.c1'], 'core': '24.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6556, 2293, 7104, 7170], 'generators': [166752, 333504, 222336, 148224, 27792, 12, 2304], 'label': '444672.e.24.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': ['8.b1', '12.a1', '12.b1', '12.c1'], 'normal_contains': ['48.b1', '48.g1', '48.h1', '72.b1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130409
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '12.a1'], 'contains': ['48.b1', '48.i1', '72.c1', '4632.d1'], 'core': '24.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4924, 5454, 4528, 4879], 'generators': [438780, 111168, 222336, 148224, 166752, 244314, 2304], 'label': '444672.e.24.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': ['8.c1', '12.a1'], 'normal_contains': ['48.b1', '48.i1', '72.c1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130410
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': ['148224.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '9.a1', '579.a1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9512, 1919, 8723, 7828], 'generators': [222336, 2304, 6, 13896, 3, 148224, 333504, 27792, 12, 166752], 'label': '444672.e.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.b1', '9.a1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': None, 'quotient_action_image': '3.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130411
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '12.d1'], 'contains': ['48.d1', '48.e1', '48.f1', '72.a1', '4632.e1'], 'core': '24.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [3916, 6117, 3028, 2685], 'generators': [255900, 333504, 222336, 389096, 166752, 228174, 2304], 'label': '444672.e.24.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': ['8.a1', '12.d1'], 'normal_contains': ['48.d1', '48.e1', '48.f1', '72.a1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130412
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.b1', '12.d1', '12.e1', '12.f1'], 'contains': ['48.e1', '48.j1', '48.k1', '72.b1', '4632.f1'], 'core': '24.e1', 'coset_action_label': None, 'count': 3, 'diagramx': [7375, 3480, 5744, 6345], 'generators': [166752, 333504, 222336, 389096, 27792, 12, 2304], 'label': '444672.e.24.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.e1', 'normal_contained_in': ['8.b1', '12.d1', '12.e1', '12.f1'], 'normal_contains': ['48.e1', '48.j1', '48.k1', '72.b1'], 'normalizer': '1.a1', 'old_label': '24.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130413
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.c1', '12.d1'], 'contains': ['48.e1', '48.l1', '72.c1', '4632.g1'], 'core': '24.f1', 'coset_action_label': None, 'count': 3, 'diagramx': [5363, 4984, 4254, 4428], 'generators': [438780, 111168, 222336, 390632, 166752, 244314, 2304], 'label': '444672.e.24.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': ['8.c1', '12.d1'], 'normal_contains': ['48.e1', '48.l1', '72.c1'], 'normalizer': '1.a1', 'old_label': '24.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130414
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.g1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1', '12.b1'], 'contains': ['48.g1', '72.d1', '4632.a1'], 'core': '24.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [7643, 3780, 7315, 9921], 'generators': [27792, 55584, 111168, 2304, 148224, 13896, 222336], 'label': '444672.e.24.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.g1', 'normal_contained_in': ['8.d1', '12.b1'], 'normal_contains': ['48.g1', '72.d1', '4632.a1'], 'normalizer': '1.a1', 'old_label': '24.g1', 'projective_image': None, 'quotient_action_image': '24.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '24.g1', 'subgroup_fusion': None, 'weyl_group': '24.2'}
-
id: 3130415
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1', '12.b1'], 'contains': ['48.g1', '72.e1', '4632.h1'], 'core': '24.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [6171, 2820, 7485, 9269], 'generators': [166752, 333504, 222336, 83376, 148224, 194484, 2304], 'label': '444672.e.24.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.h1', 'normal_contained_in': ['8.e1', '12.b1'], 'normal_contains': ['48.g1', '72.e1'], 'normalizer': '1.a1', 'old_label': '24.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130416
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.f1', '12.c1', '12.g1'], 'contains': ['48.h1', '72.f1', '4632.i1'], 'core': '24.i1', 'coset_action_label': None, 'count': 2, 'diagramx': [8471, 900, 9139, 6727], 'generators': [166752, 333504, 222336, 233868, 148224, 55458, 2304], 'label': '444672.e.24.i1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.i1', 'normal_contained_in': ['8.f1', '12.c1', '12.g1'], 'normal_contains': ['48.h1', '72.f1'], 'normalizer': '1.a1', 'old_label': '24.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130417
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.d1', '12.e1'], 'contains': ['48.j1', '72.d1', '4632.j1'], 'core': '24.j1', 'coset_action_label': None, 'count': 3, 'diagramx': [7999, 4330, 6523, 9642], 'generators': [55584, 111168, 222336, 27792, 390632, 13896, 2304], 'label': '444672.e.24.j1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.j1', 'normal_contained_in': ['8.d1', '12.e1'], 'normal_contains': ['48.j1', '72.d1'], 'normalizer': '1.a1', 'old_label': '24.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130419
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.f1', '12.f1', '12.h1'], 'contains': ['48.k1', '72.f1', '4632.l1'], 'core': '24.l1', 'coset_action_label': None, 'count': 6, 'diagramx': [8996, 1226, 8950, 6024], 'generators': [166752, 333504, 222336, 233868, 390632, 55458, 2304], 'label': '444672.e.24.l1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.l1', 'normal_contained_in': ['8.f1', '12.f1', '12.h1'], 'normal_contains': ['48.k1', '72.f1'], 'normalizer': '1.a1', 'old_label': '24.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130420
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1', '16.c1'], 'contains': ['64.a1', '64.b1', '64.c1', '96.a1', '96.c1', '6176.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2386, 7576, 1834, 2270], 'generators': [148224, 222336, 2304, 389096, 333504, 277788], 'label': '444672.e.32.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1', '16.c1'], 'normal_contains': ['64.a1', '64.b1', '64.c1', '96.a1', '96.c1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130421
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '3.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': ['148224.a1', '148224.b1'], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['6.c1', '6.d1', '9.a1', '579.b1'], 'core': '3.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [9914, 1450, 8450, 7377], 'generators': [222336, 2304, 6, 13896, 3, 389864, 333504, 27792, 12, 166752], 'label': '444672.e.3.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.c1', '6.d1', '9.a1'], 'normalizer': '1.a1', 'old_label': '3.b1', 'projective_image': None, 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130422
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.a1'], 'contains': ['64.a1', '64.d1', '96.b1', '96.d1', '6176.b1'], 'core': '32.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1358, 8974, 700, 777], 'generators': [148224, 144732, 2304, 389096, 222336, 394926], 'label': '444672.e.32.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': ['16.a1'], 'normal_contains': ['64.a1', '64.d1', '96.b1', '96.d1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130423
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '16.d1', '16.e1'], 'contains': ['64.b1', '96.e1', '96.h1', '6176.c1'], 'core': '32.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5486, 4394, 5573, 5948], 'generators': [333504, 222336, 2304, 148224, 389096, 166752], 'label': '444672.e.32.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': ['16.b1', '16.d1', '16.e1'], 'normal_contains': ['64.b1', '96.e1', '96.h1'], 'normalizer': '1.a1', 'old_label': '32.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130424
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '16.f1'], 'contains': ['64.b1', '96.f1', '96.i1', '6176.d1'], 'core': '32.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [4098, 6493, 3496, 3845], 'generators': [111168, 222336, 2304, 148224, 389096, 222204], 'label': '444672.e.32.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.d1', 'normal_contained_in': ['16.b1', '16.f1'], 'normal_contains': ['64.b1', '96.f1', '96.i1'], 'normalizer': '1.a1', 'old_label': '32.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130425
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.c1'], 'contains': ['64.c1', '96.g1', '96.j1', '6176.e1'], 'core': '32.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [2851, 8546, 2060, 1897], 'generators': [255900, 222336, 2304, 148224, 389096, 228174], 'label': '444672.e.32.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.e1', 'normal_contained_in': ['16.c1'], 'normal_contains': ['64.c1', '96.g1', '96.j1'], 'normalizer': '1.a1', 'old_label': '32.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130426
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '36.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '12.d1', '18.a1'], 'contains': ['72.a1', '72.b1', '72.c1', '6948.a1'], 'core': '36.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5835, 4519, 5121, 5330], 'generators': [55584, 111168, 222336, 438780, 27792, 244314, 2304], 'label': '444672.e.36.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.a1', 'normal_contained_in': ['12.a1', '12.d1', '18.a1'], 'normal_contains': ['72.a1', '72.b1', '72.c1'], 'normalizer': '1.a1', 'old_label': '36.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130427
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '36.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1', '12.e1', '18.a1'], 'contains': ['72.b1', '72.d1', '72.e1', '6948.b1'], 'core': '36.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7852, 2615, 7877, 8888], 'generators': [55584, 111168, 222336, 27792, 13896, 12, 2304], 'label': '444672.e.36.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.b1', 'normal_contained_in': ['12.b1', '12.e1', '18.a1'], 'normal_contains': ['72.b1', '72.d1', '72.e1'], 'normalizer': '1.a1', 'old_label': '36.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130428
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '36.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '12.f1', '18.a1', '18.b1'], 'contains': ['72.b1', '72.f1', '6948.c1'], 'core': '36.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [8824, 1518, 8595, 7872], 'generators': [166752, 333504, 222336, 12, 27792, 6, 2304], 'label': '444672.e.36.c1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '36.c1', 'normal_contained_in': ['12.c1', '12.f1', '18.a1', '18.b1'], 'normal_contains': ['72.b1', '72.f1'], 'normalizer': '1.a1', 'old_label': '36.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130429
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '36.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': ['12352.d1'], 'conjugacy_class_count': 4, 'contained_in': ['12.g1', '12.h1', '18.b1'], 'contains': ['72.f1', '6948.d1'], 'core': '36.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [9606, 467, 9679, 7551], 'generators': [166752, 333504, 222336, 252300, 366498, 228177, 2304], 'label': '444672.e.36.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.d1', 'normal_contained_in': ['12.g1', '12.h1', '18.b1'], 'normal_contains': ['72.f1'], 'normalizer': '1.a1', 'old_label': '36.d1', 'projective_image': None, 'quotient_action_image': '12.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '36.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130430
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '48.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '24.a1'], 'contains': ['96.a1', '96.b1', '144.a1', '9264.b1'], 'core': '48.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2013, 8224, 1607, 1524], 'generators': [144732, 222336, 2304, 148224, 333504, 394926], 'label': '444672.e.48.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.a1'], 'normal_contains': ['96.a1', '96.b1', '144.a1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130431
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '24.a1', '24.b1', '24.c1'], 'contains': ['96.a1', '96.e1', '96.f1', '144.b1', '9264.c1'], 'core': '48.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4262, 6066, 4418, 5210], 'generators': [111168, 222336, 2304, 148224, 166752, 222204], 'label': '444672.e.48.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': ['16.b1', '24.a1', '24.b1', '24.c1'], 'normal_contains': ['96.a1', '96.e1', '96.f1', '144.b1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130432
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.b1', '8.c1', '12.a1', '12.d1', '772.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5629, 4795, 4911, 4752], 'generators': [2304, 148224, 27792, 244314, 389096, 222336, 438780, 55584, 111168], 'label': '444672.e.4.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1', '8.b1', '8.c1', '12.a1', '12.d1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130433
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '24.a1'], 'contains': ['96.a1', '96.g1', '144.c1', '9264.d1'], 'core': '48.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3146, 6670, 2711, 3079], 'generators': [255900, 222336, 2304, 148224, 333504, 228174], 'label': '444672.e.48.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': ['16.c1', '24.a1'], 'normal_contains': ['96.a1', '96.g1', '144.c1'], 'normalizer': '1.a1', 'old_label': '48.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130434
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['16.a1', '24.d1'], 'contains': ['96.c1', '96.d1', '144.a1', '9264.e1'], 'core': '48.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [2345, 7835, 1381, 1150], 'generators': [144732, 222336, 2304, 390632, 333504, 394926], 'label': '444672.e.48.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.d1', 'normal_contained_in': ['16.a1', '24.d1'], 'normal_contains': ['96.c1', '96.d1', '144.a1'], 'normalizer': '1.a1', 'old_label': '48.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130435
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['16.b1', '24.d1', '24.e1', '24.f1'], 'contains': ['96.c1', '96.h1', '96.i1', '144.b1', '9264.f1'], 'core': '48.e1', 'coset_action_label': None, 'count': 3, 'diagramx': [4960, 4977, 4048, 4853], 'generators': [111168, 222336, 2304, 390632, 166752, 222204], 'label': '444672.e.48.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.e1', 'normal_contained_in': ['16.b1', '24.d1', '24.e1', '24.f1'], 'normal_contains': ['96.c1', '96.h1', '96.i1', '144.b1'], 'normalizer': '1.a1', 'old_label': '48.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130436
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['16.c1', '24.d1'], 'contains': ['96.c1', '96.j1', '144.c1', '9264.g1'], 'core': '48.f1', 'coset_action_label': None, 'count': 3, 'diagramx': [3473, 7117, 2452, 2651], 'generators': [255900, 222336, 2304, 390632, 333504, 228174], 'label': '444672.e.48.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.f1', 'normal_contained_in': ['16.c1', '24.d1'], 'normal_contains': ['96.c1', '96.j1', '144.c1'], 'normalizer': '1.a1', 'old_label': '48.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130437
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.g1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '24.b1', '24.g1', '24.h1'], 'contains': ['96.e1', '144.d1', '9264.a1'], 'core': '48.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [6196, 3228, 6772, 8357], 'generators': [55584, 111168, 222336, 2304, 148224, 27792], 'label': '444672.e.48.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.g1', 'normal_contained_in': ['16.d1', '24.b1', '24.g1', '24.h1'], 'normal_contains': ['96.e1', '144.d1', '9264.a1'], 'normalizer': '1.a1', 'old_label': '48.g1', 'projective_image': None, 'quotient_action_image': '24.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '48.g1', 'subgroup_fusion': None, 'weyl_group': '24.2'}
-
id: 3130438
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1', '24.b1', '24.i1'], 'contains': ['96.e1', '144.e1', '9264.h1'], 'core': '48.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [7164, 1813, 7335, 6574], 'generators': [333504, 222336, 2304, 166752, 148224, 12], 'label': '444672.e.48.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.h1', 'normal_contained_in': ['16.e1', '24.b1', '24.i1'], 'normal_contains': ['96.e1', '144.e1'], 'normalizer': '1.a1', 'old_label': '48.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130439
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.f1', '24.c1'], 'contains': ['96.f1', '144.f1', '9264.i1'], 'core': '48.i1', 'coset_action_label': None, 'count': 2, 'diagramx': [4623, 5638, 4629, 4472], 'generators': [333504, 222336, 2304, 105276, 148224, 299898], 'label': '444672.e.48.i1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.i1', 'normal_contained_in': ['16.f1', '24.c1'], 'normal_contains': ['96.f1', '144.f1'], 'normalizer': '1.a1', 'old_label': '48.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130440
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['16.d1', '24.e1', '24.j1', '24.k1'], 'contains': ['96.h1', '144.d1', '9264.j1'], 'core': '48.j1', 'coset_action_label': None, 'count': 3, 'diagramx': [6644, 3512, 5961, 8085], 'generators': [111168, 222336, 2304, 55584, 390632, 27792], 'label': '444672.e.48.j1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.j1', 'normal_contained_in': ['16.d1', '24.e1', '24.j1', '24.k1'], 'normal_contains': ['96.h1', '144.d1'], 'normalizer': '1.a1', 'old_label': '48.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130441
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['16.e1', '24.e1', '24.l1'], 'contains': ['96.h1', '144.e1', '9264.k1'], 'core': '48.k1', 'coset_action_label': None, 'count': 3, 'diagramx': [7637, 2138, 6471, 6261], 'generators': [333504, 222336, 2304, 166752, 390632, 12], 'label': '444672.e.48.k1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.k1', 'normal_contained_in': ['16.e1', '24.e1', '24.l1'], 'normal_contains': ['96.h1', '144.e1'], 'normalizer': '1.a1', 'old_label': '48.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130442
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '48.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['16.f1', '24.f1'], 'contains': ['96.i1', '144.f1', '9264.l1'], 'core': '48.l1', 'coset_action_label': None, 'count': 6, 'diagramx': [5300, 5312, 4243, 4158], 'generators': [333504, 222336, 2304, 105276, 389096, 299898], 'label': '444672.e.48.l1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.l1', 'normal_contained_in': ['16.f1', '24.f1'], 'normal_contains': ['96.i1', '144.f1'], 'normalizer': '1.a1', 'old_label': '48.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.l1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130443
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.b1', '8.d1', '8.e1', '12.b1', '12.e1', '772.b1'], 'core': '4.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7231, 3094, 6707, 8756], 'generators': [2304, 148224, 13896, 12, 389096, 222336, 27792, 55584, 111168], 'label': '444672.e.4.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.b1', '8.d1', '8.e1', '12.b1', '12.e1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130444
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '64.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.b1'], 'contains': ['128.a1', '128.b1', '192.a1', '192.b1', '12352.a1'], 'core': '64.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1278, 8974, 1006, 1225], 'generators': [148224, 2304, 389096, 222336, 388956], 'label': '444672.e.64.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.b1'], 'normal_contains': ['128.a1', '128.b1', '192.a1', '192.b1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130445
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '64.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.c1', '32.d1'], 'contains': ['128.a1', '192.c1', '192.e1', '12352.b1'], 'core': '64.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3479, 7317, 3698, 3860], 'generators': [222336, 2304, 148224, 389096, 333504], 'label': '444672.e.64.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.b1', 'normal_contained_in': ['32.a1', '32.c1', '32.d1'], 'normal_contains': ['128.a1', '192.c1', '192.e1'], 'normalizer': '1.a1', 'old_label': '64.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130446
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '64.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.e1'], 'contains': ['128.a1', '192.d1', '192.f1', '12352.c1'], 'core': '64.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [1867, 8287, 1738, 1905], 'generators': [222336, 2304, 148224, 389096, 277788], 'label': '444672.e.64.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.c1', 'normal_contained_in': ['32.a1', '32.e1'], 'normal_contains': ['128.a1', '192.d1', '192.f1'], 'normalizer': '1.a1', 'old_label': '64.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130447
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '64.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': ['6948.d1'], 'conjugacy_class_count': 4, 'contained_in': ['32.b1'], 'contains': ['128.b1', '192.g1', '192.h1', '12352.d1'], 'core': '64.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [506, 9690, 207, 172], 'generators': [367068, 2304, 148224, 389096, 61422], 'label': '444672.e.64.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.d1', 'normal_contained_in': ['32.b1'], 'normal_contains': ['128.b1', '192.g1', '192.h1'], 'normalizer': '1.a1', 'old_label': '64.d1', 'projective_image': None, 'quotient_action_image': '8.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '64.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130448
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '72.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '24.d1', '36.a1'], 'contains': ['144.a1', '144.b1', '144.c1', '13896.b1'], 'core': '72.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3941, 5912, 3278, 3487], 'generators': [333504, 222336, 2304, 255900, 166752, 228174], 'label': '444672.e.72.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.a1', 'normal_contained_in': ['24.a1', '24.d1', '36.a1'], 'normal_contains': ['144.a1', '144.b1', '144.c1'], 'normalizer': '1.a1', 'old_label': '72.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130449
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '72.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '24.e1', '36.a1', '36.b1', '36.c1'], 'contains': ['144.b1', '144.d1', '144.e1', '13896.c1'], 'core': '72.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7455, 2631, 7104, 7209], 'generators': [333504, 222336, 2304, 166752, 27792, 12], 'label': '444672.e.72.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.b1', 'normal_contained_in': ['24.b1', '24.e1', '36.a1', '36.b1', '36.c1'], 'normal_contains': ['144.b1', '144.d1', '144.e1'], 'normalizer': '1.a1', 'old_label': '72.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130450
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '72.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.c1', '24.f1', '36.a1'], 'contains': ['144.b1', '144.f1', '13896.d1'], 'core': '72.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5388, 4614, 5181, 5567], 'generators': [111168, 222336, 2304, 438780, 166752, 244314], 'label': '444672.e.72.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.c1', 'normal_contained_in': ['24.c1', '24.f1', '36.a1'], 'normal_contains': ['144.b1', '144.f1'], 'normalizer': '1.a1', 'old_label': '72.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130451
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '72.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.g1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.g1', '24.j1', '36.b1'], 'contains': ['144.d1', '13896.a1'], 'core': '72.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [7904, 3975, 7672, 8888], 'generators': [55584, 111168, 222336, 27792, 2304, 13896], 'label': '444672.e.72.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.d1', 'normal_contained_in': ['24.g1', '24.j1', '36.b1'], 'normal_contains': ['144.d1', '13896.a1'], 'normalizer': '1.a1', 'old_label': '72.d1', 'projective_image': None, 'quotient_action_image': '24.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '72.d1', 'subgroup_fusion': None, 'weyl_group': '24.2'}
-
id: 3130452
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '72.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.h1', '24.k1', '36.b1'], 'contains': ['144.d1', '13896.e1'], 'core': '72.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [6834, 3004, 7801, 8623], 'generators': [333504, 222336, 2304, 166752, 83376, 194484], 'label': '444672.e.72.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.e1', 'normal_contained_in': ['24.h1', '24.k1', '36.b1'], 'normal_contains': ['144.d1'], 'normalizer': '1.a1', 'old_label': '72.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130453
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '72.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['24.i1', '24.l1', '36.c1', '36.d1'], 'contains': ['144.e1', '13896.f1'], 'core': '72.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [8742, 1155, 8940, 6887], 'generators': [333504, 222336, 2304, 166752, 233868, 55458], 'label': '444672.e.72.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.f1', 'normal_contained_in': ['24.i1', '24.l1', '36.c1', '36.d1'], 'normal_contains': ['144.e1'], 'normalizer': '1.a1', 'old_label': '72.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130454
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.b1', '8.f1', '12.c1', '12.f1', '772.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [8390, 1442, 8099, 6159], 'generators': [2304, 148224, 27792, 6, 389096, 222336, 12, 166752, 333504], 'label': '444672.e.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.b1', '8.f1', '12.c1', '12.f1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130455
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '96.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '48.a1', '48.b1', '48.c1'], 'contains': ['192.a1', '192.c1', '192.d1', '288.a1', '18528.b1'], 'core': '96.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2321, 7290, 2822, 3165], 'generators': [222336, 2304, 148224, 333504, 277788], 'label': '444672.e.96.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.a1', 'normal_contained_in': ['32.a1', '48.a1', '48.b1', '48.c1'], 'normal_contains': ['192.a1', '192.c1', '192.d1', '288.a1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130456
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '96.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '48.a1'], 'contains': ['192.a1', '192.g1', '288.b1', '18528.c1'], 'core': '96.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [976, 9139, 806, 896], 'generators': [367068, 2304, 148224, 222336, 283758], 'label': '444672.e.96.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.b1', 'normal_contained_in': ['32.b1', '48.a1'], 'normal_contains': ['192.a1', '192.g1', '288.b1'], 'normalizer': '1.a1', 'old_label': '96.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130457
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '96.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['32.a1', '48.d1', '48.e1', '48.f1'], 'contains': ['192.b1', '192.e1', '192.f1', '288.a1', '18528.d1'], 'core': '96.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [2572, 6949, 2272, 2838], 'generators': [222336, 2304, 389096, 333504, 277788], 'label': '444672.e.96.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.c1', 'normal_contained_in': ['32.a1', '48.d1', '48.e1', '48.f1'], 'normal_contains': ['192.b1', '192.e1', '192.f1', '288.a1'], 'normalizer': '1.a1', 'old_label': '96.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130458
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '96.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['32.b1', '48.d1'], 'contains': ['192.b1', '192.h1', '288.b1', '18528.e1'], 'core': '96.d1', 'coset_action_label': None, 'count': 6, 'diagramx': [1444, 8710, 594, 545], 'generators': [144732, 2304, 389096, 222336, 394926], 'label': '444672.e.96.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.d1', 'normal_contained_in': ['32.b1', '48.d1'], 'normal_contains': ['192.b1', '192.h1', '288.b1'], 'normalizer': '1.a1', 'old_label': '96.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130459
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '96.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.g1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1', '48.b1', '48.g1', '48.h1'], 'contains': ['192.c1', '288.c1', '18528.a1'], 'core': '96.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [5386, 3958, 5725, 6073], 'generators': [333504, 222336, 2304, 148224, 166752], 'label': '444672.e.96.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.e1', 'normal_contained_in': ['32.c1', '48.b1', '48.g1', '48.h1'], 'normal_contains': ['192.c1', '288.c1', '18528.a1'], 'normalizer': '1.a1', 'old_label': '96.e1', 'projective_image': None, 'quotient_action_image': '24.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '96.e1', 'subgroup_fusion': None, 'weyl_group': '24.2'}
-
id: 3130460
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '96.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.d1', '48.b1', '48.i1'], 'contains': ['192.c1', '288.d1', '18528.f1'], 'core': '96.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [4261, 6297, 4224, 4463], 'generators': [222336, 2304, 111168, 148224, 222204], 'label': '444672.e.96.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.f1', 'normal_contained_in': ['32.d1', '48.b1', '48.i1'], 'normal_contains': ['192.c1', '288.d1'], 'normalizer': '1.a1', 'old_label': '96.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130461
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '96.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.e1', '48.c1'], 'contains': ['192.d1', '288.e1', '18528.g1'], 'core': '96.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [2869, 7632, 2624, 2508], 'generators': [222336, 2304, 255900, 148224, 228174], 'label': '444672.e.96.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.g1', 'normal_contained_in': ['32.e1', '48.c1'], 'normal_contains': ['192.d1', '288.e1'], 'normalizer': '1.a1', 'old_label': '96.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130462
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '96.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['32.c1', '48.e1', '48.j1', '48.k1'], 'contains': ['192.e1', '288.c1', '18528.h1'], 'core': '96.h1', 'coset_action_label': None, 'count': 3, 'diagramx': [5577, 4347, 5573, 5823], 'generators': [222336, 2304, 333504, 389096, 166752], 'label': '444672.e.96.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.h1', 'normal_contained_in': ['32.c1', '48.e1', '48.j1', '48.k1'], 'normal_contains': ['192.e1', '288.c1'], 'normalizer': '1.a1', 'old_label': '96.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130463
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '96.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['32.d1', '48.e1', '48.l1'], 'contains': ['192.e1', '288.d1', '18528.i1'], 'core': '96.i1', 'coset_action_label': None, 'count': 3, 'diagramx': [4624, 5866, 4048, 4173], 'generators': [222336, 2304, 111168, 389096, 222204], 'label': '444672.e.96.i1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.i1', 'normal_contained_in': ['32.d1', '48.e1', '48.l1'], 'normal_contains': ['192.e1', '288.d1'], 'normalizer': '1.a1', 'old_label': '96.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130464
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '96.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['32.e1', '48.f1'], 'contains': ['192.f1', '288.e1', '18528.j1'], 'core': '96.j1', 'coset_action_label': None, 'count': 6, 'diagramx': [3231, 8127, 2448, 2218], 'generators': [222336, 2304, 255900, 389096, 228174], 'label': '444672.e.96.j1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.j1', 'normal_contained_in': ['32.e1', '48.f1'], 'normal_contains': ['192.f1', '288.e1'], 'normalizer': '1.a1', 'old_label': '96.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.j1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 3130465
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': ['111168.d1'], 'conjugacy_class_count': 4, 'contained_in': ['2.b1'], 'contains': ['8.f1', '12.g1', '12.h1', '772.d1'], 'core': '4.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [9050, 486, 9592, 5761], 'generators': [2304, 334230, 389096, 75, 148224, 222336, 281388, 277920, 111168], 'label': '444672.e.4.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['8.f1', '12.g1', '12.h1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': None, 'quotient_action_image': '4.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 3130466
{'ambient': '444672.e', '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': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '64.b1', '64.c1'], 'contains': ['256.a1', '384.a1', '384.b1', '24704.a1'], 'core': '128.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1321, 8416, 1774, 2064], 'generators': [222336, 389096, 2304, 148224], 'label': '444672.e.128.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '128.a1', 'normal_contained_in': ['64.a1', '64.b1', '64.c1'], 'normal_contains': ['256.a1', '384.a1', '384.b1'], 'normalizer': '1.a1', 'old_label': '128.a1', 'projective_image': None, '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: 3130469
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '144.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.b1', '48.e1', '72.a1', '72.b1', '72.c1'], 'contains': ['288.a1', '288.c1', '288.d1', '27792.c1'], 'core': '144.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4785, 5129, 4904, 5119], 'generators': [222336, 2304, 111168, 166752, 222204], 'label': '444672.e.144.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '144.b1', 'normal_contained_in': ['48.b1', '48.e1', '72.a1', '72.b1', '72.c1'], 'normal_contains': ['288.a1', '288.c1', '288.d1'], 'normalizer': '1.a1', 'old_label': '144.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 3130470
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '144.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.c1', '48.f1', '72.a1'], 'contains': ['288.a1', '288.e1', '27792.d1'], 'core': '144.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3397, 6471, 3346, 3501], 'generators': [222336, 2304, 255900, 333504, 228174], 'label': '444672.e.144.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '144.c1', 'normal_contained_in': ['48.c1', '48.f1', '72.a1'], 'normal_contains': ['288.a1', '288.e1'], 'normalizer': '1.a1', 'old_label': '144.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.c1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 3130471
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '144.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.g1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.g1', '48.j1', '72.b1', '72.d1', '72.e1'], 'contains': ['288.c1', '27792.a1'], 'core': '144.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6834, 3503, 6772, 8200], 'generators': [111168, 222336, 55584, 2304, 27792], 'label': '444672.e.144.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '144.d1', 'normal_contained_in': ['48.g1', '48.j1', '72.b1', '72.d1', '72.e1'], 'normal_contains': ['288.c1', '27792.a1'], 'normalizer': '1.a1', 'old_label': '144.d1', 'projective_image': None, 'quotient_action_image': '24.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '144.d1', 'subgroup_fusion': None, 'weyl_group': '24.2'}
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id: 3130472
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '144.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.h1', '48.k1', '72.b1', '72.f1'], 'contains': ['288.c1', '27792.e1'], 'core': '144.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [7684, 2123, 7149, 6574], 'generators': [222336, 2304, 333504, 166752, 12], 'label': '444672.e.144.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '144.e1', 'normal_contained_in': ['48.h1', '48.k1', '72.b1', '72.f1'], 'normal_contains': ['288.c1'], 'normalizer': '1.a1', 'old_label': '144.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.e1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 3130473
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '144.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['48.i1', '48.l1', '72.c1'], 'contains': ['288.d1', '27792.f1'], 'core': '144.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [5131, 5559, 5065, 4754], 'generators': [222336, 2304, 111168, 438780, 244314], 'label': '444672.e.144.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '144.f1', 'normal_contained_in': ['48.i1', '48.l1', '72.c1'], 'normal_contains': ['288.d1'], 'normalizer': '1.a1', 'old_label': '144.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.f1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 3130474
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '192.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '96.a1', '96.b1'], 'contains': ['384.a1', '384.c1', '576.a1', '37056.b1'], 'core': '192.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1020, 9159, 1589, 1759], 'generators': [388956, 222336, 2304, 148224], 'label': '444672.e.192.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.a1', 'normal_contained_in': ['64.a1', '96.a1', '96.b1'], 'normal_contains': ['384.a1', '384.c1', '576.a1'], 'normalizer': '1.a1', 'old_label': '192.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 3130475
{'ambient': '444672.e', 'aut_centralizer_order': None, 'aut_label': '192.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4632.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['64.a1', '96.c1', '96.d1'], 'contains': ['384.b1', '384.d1', '576.a1', '37056.c1'], 'core': '192.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [1508, 8538, 1404, 1454], 'generators': [388956, 222336, 2304, 390632], 'label': '444672.e.192.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.b1', 'normal_contained_in': ['64.a1', '96.c1', '96.d1'], 'normal_contains': ['384.b1', '384.d1', '576.a1'], 'normalizer': '1.a1', 'old_label': '192.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.b1', 'subgroup_fusion': None, 'weyl_group': None}