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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '48.48', 'arith_equiv': 0, 'aut_label': '4.2', 'auts': 4, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 48, 'gapidfull': '[48,48]', 'gens': [[[2, 8], [3, 9], [4, 10], [5, 11]], [[1, 5, 9], [2, 6, 10], [3, 7, 11], [4, 8, 12]], [[1, 12], [2, 3], [4, 5], [6, 7], [8, 9], [10, 11]], [[2, 10], [3, 11], [4, 8], [5, 9]]], 'isomorphism': [163985733, 446792579, 351590400, 263591283, 24225600], 'label': '12T23', 'n': 12, 'name': 'S_4(6d)[x]2=[1/8.2^6]S(3)', 'nilpotency': -1, 'num_conj_classes': 10, 'order': 48, 'parity': 1, 'pretty': '$C_2 \\times S_4$', 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 2], 1], [6, [3, 2], 1], [12, [6, 3], 1], [24, [4, 5], 1]], 'siblings': [[[6, 11], 2], [[8, 24], 2], [[12, 21], 1], [[12, 22], 1], [[12, 23], 1], [[12, 24], 2], [[16, 61], 1], [[24, 46], 1], [[24, 47], 1], [[24, 48], 2]], 'solv': 1, 'subfields': [[[2, 1], 1], [[3, 2], 1], [[6, 3], 1], [[6, 7], 1], [[6, 11], 1]], 't': 23}