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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '256.38426', 'arith_equiv': 0, 'aut_label': '8.5', 'auts': 8, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 38426, 'gapidfull': '[256,38426]', 'gens': [[[1, 5], [2, 6], [3, 7], [4, 8], [9, 16], [10, 15], [11, 13], [12, 14], [17, 30], [18, 29], [19, 32], [20, 31], [21, 26], [22, 25], [23, 28], [24, 27]], [[1, 14], [2, 13], [3, 16], [4, 15], [5, 12], [6, 11], [7, 9], [8, 10], [17, 18], [19, 20], [21, 22], [23, 24], [25, 26], [27, 28], [29, 30], [31, 32]], [[1, 7, 15, 11], [2, 8, 16, 12], [3, 5, 13, 10], [4, 6, 14, 9], [17, 28, 24, 29], [18, 27, 23, 30], [19, 26, 22, 31], [20, 25, 21, 32]], [[1, 5, 16, 9], [2, 6, 15, 10], [3, 7, 14, 12], [4, 8, 13, 11], [17, 27, 23, 29], [18, 28, 24, 30], [19, 25, 21, 31], [20, 26, 22, 32]], [[1, 19, 13, 24], [2, 20, 14, 23], [3, 17, 15, 22], [4, 18, 16, 21], [5, 25, 11, 30], [6, 26, 12, 29], [7, 27, 10, 32], [8, 28, 9, 31]]], 'isomorphism': [127174766649371872281955353966796799, 127174822771437454677133172871173167, 110198662327807200867368000469161647, 16976205612381906241351455300261136, 42220633073673446283057403694301503, 178176737686625115185611025892172822], 'label': '32T3449', 'n': 32, 'name': 't32n3449', 'nilpotency': 2, 'num_conj_classes': 52, 'order': 256, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 31], [4, [4, 2], 155], [8, [4, 3], 8], [8, [8, 3], 155], [16, [8, 9], 28], [16, [16, 3], 31], [32, [8, 22], 12], [32, [16, 25], 14], [32, [32, 39], 1], [64, [16, 69], 6], [64, [16, 83], 4], [64, [32, 273], 1], [128, [16, 198], 3], [128, [16, 206], 3], [128, [32, 1020], 1]], 'siblings': [[[32, 3449], 127]], 'solv': 1, 'subfields': [[[2, 1], 3], [[4, 2], 1], [[4, 3], 2], [[8, 9], 1], [[8, 22], 6], [[16, 83], 1], [[16, 198], 3], [[16, 206], 3]], 't': 3449}
