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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '1600.9861', 'arith_equiv': 1, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 9861, 'gapidfull': '[1600,9861]', 'gens': [[[1, 28, 36, 9], [2, 27, 35, 10], [3, 26, 33, 12], [4, 25, 34, 11], [5, 24, 32, 15], [6, 23, 31, 16], [7, 21, 29, 14], [8, 22, 30, 13], [17, 20, 18, 19], [37, 40, 38, 39]], [[1, 15, 17, 8, 35, 38, 11, 29, 26, 23], [2, 16, 18, 7, 36, 37, 12, 30, 25, 24], [3, 13, 19, 6, 34, 40, 9, 32, 27, 21], [4, 14, 20, 5, 33, 39, 10, 31, 28, 22]], [[1, 20, 11, 33], [2, 19, 12, 34], [3, 18, 9, 36], [4, 17, 10, 35], [5, 7], [6, 8], [13, 23, 40, 29], [14, 24, 39, 30], [15, 21, 38, 32], [16, 22, 37, 31], [25, 27], [26, 28]], [[1, 13, 26, 21, 11, 32, 35, 40, 17, 6], [2, 14, 25, 22, 12, 31, 36, 39, 18, 5], [3, 15, 27, 23, 9, 29, 34, 38, 19, 8], [4, 16, 28, 24, 10, 30, 33, 37, 20, 7]]], 'isomorphism': [13763761782767107384701522361678651287924353, 229733821341786042721123523071548259829153219159, 20411656176128185399963992107865056595392681647, 418700819243497706292149171633361128541246185038, 544296703079129072864426322241519723834580745456], 'label': '40T1450', 'n': 40, 'name': 't40n1450', 'nilpotency': -1, 'num_conj_classes': 40, 'order': 1600, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 15], [4, [4, 2], 35], [8, [8, 3], 15], [16, [8, 11], 2], [16, [16, 3], 1], [32, [8, 22], 2], [32, [16, 18], 1], [64, [16, 82], 1], [400, [10, 27], 1], [800, [20, 154], 1]], 'siblings': [[[40, 1270], 2], [[40, 1312], 2], [[40, 1313], 2], [[40, 1318], 4], [[40, 1321], 2], [[40, 1450], 3]], 'solv': 1, 'subfields': [[[2, 1], 3], [[4, 2], 1], [[8, 22], 1], [[10, 27], 1], [[20, 154], 1]], 't': 1450}
