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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '64.255', 'arith_equiv': 0, 'aut_label': '16.12', 'auts': 16, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 255, 'gapidfull': '[64,255]', 'gens': [[[1, 15, 3, 13], [2, 16, 4, 14], [5, 11, 7, 9], [6, 12, 8, 10], [17, 21, 19, 23], [18, 22, 20, 24], [25, 31, 27, 29], [26, 32, 28, 30]], [[1, 16, 3, 14], [2, 15, 4, 13], [5, 12, 7, 10], [6, 11, 8, 9], [17, 22, 19, 24], [18, 21, 20, 23], [25, 32, 27, 30], [26, 31, 28, 29]], [[1, 32, 7, 18, 3, 30, 5, 20], [2, 31, 8, 17, 4, 29, 6, 19], [9, 26, 15, 22, 11, 28, 13, 24], [10, 25, 16, 21, 12, 27, 14, 23]], [[1, 19, 7, 31, 3, 17, 5, 29], [2, 20, 8, 32, 4, 18, 6, 30], [9, 23, 15, 25, 11, 21, 13, 27], [10, 24, 16, 26, 12, 22, 14, 28]]], 'isomorphism': [25207896932934229344716810326862783, 8231691320578226211049201505102783, 101966948438444213882576421564092736, 263130746467299018212088904116084479], 'label': '32T369', 'n': 32, 'name': 't32n369', 'nilpotency': 3, 'num_conj_classes': 22, 'order': 64, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 15], [4, [4, 2], 35], [8, [4, 3], 4], [8, [8, 3], 15], [16, [8, 9], 6], [16, [16, 3], 1], [32, [16, 25], 1], [32, [16, 32], 2]], 'siblings': [[[32, 278], 2], [[32, 369], 1]], 'solv': 1, 'subfields': [[[2, 1], 7], [[4, 2], 7], [[4, 3], 4], [[8, 3], 1], [[8, 4], 2], [[8, 9], 4], [[16, 9], 1], [[16, 50], 2]], 't': 369}