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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '72.39', 'arith_equiv': 0, 'aut_label': '4.1', 'auts': 4, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 39, 'gapidfull': '[72,39]', 'gens': [[[1, 3, 2, 4], [5, 13, 18, 29, 34, 25, 22, 10], [6, 14, 17, 30, 33, 26, 21, 9], [7, 16, 20, 31, 36, 28, 24, 12], [8, 15, 19, 32, 35, 27, 23, 11]], [[1, 22, 27, 6], [2, 21, 28, 5], [3, 24, 25, 8], [4, 23, 26, 7], [9, 35, 19, 29], [10, 36, 20, 30], [11, 34, 18, 31], [12, 33, 17, 32], [13, 14], [15, 16]]], 'isomorphism': [21265614802346758070574555536965374931206, 319110776781938046698935996669746017208383, 148904790064445705557320817131023097539777], 'label': '36T49', 'n': 36, 'name': 't36n49', 'nilpotency': -1, 'num_conj_classes': 9, 'order': 72, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 1], [4, [4, 1], 1], [8, [8, 1], 1]], 'siblings': [[[9, 15], 1], [[12, 46], 1], [[18, 28], 1], [[24, 81], 1]], 'solv': 1, 'subfields': [[[2, 1], 1], [[4, 1], 1], [[9, 15], 1], [[12, 46], 1], [[18, 28], 1]], 't': 49}