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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '32.25', 'arith_equiv': 0, 'aut_label': '32.25', 'auts': 32, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 25, 'gapidfull': '[32,25]', 'gens': [[[1, 6, 3, 8], [2, 5, 4, 7], [9, 29, 12, 31], [10, 30, 11, 32], [13, 22, 16, 23], [14, 21, 15, 24], [17, 25, 20, 28], [18, 26, 19, 27]], [[1, 23, 3, 22], [2, 24, 4, 21], [5, 20, 7, 17], [6, 19, 8, 18], [9, 16, 12, 13], [10, 15, 11, 14], [25, 32, 28, 30], [26, 31, 27, 29]], [[1, 4], [2, 3], [5, 8], [6, 7], [9, 11], [10, 12], [13, 17], [14, 18], [15, 19], [16, 20], [21, 26], [22, 25], [23, 28], [24, 27], [29, 32], [30, 31]]], 'isomorphism': [8231691320578226980840487199909127, 50965135685914485854123950558273902, 127166105835920722000235553803433606], 'label': '32T5', 'n': 32, 'name': 't32n5', 'nilpotency': 2, 'num_conj_classes': 20, 'order': 32, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 7], [4, [4, 1], 4], [4, [4, 2], 7], [8, [4, 3], 2], [8, [8, 2], 6], [8, [8, 3], 1], [16, [8, 9], 1], [16, [8, 11], 1], [16, [16, 2], 1]], 'siblings': [[[16, 19], 4]], 'solv': 1, 'subfields': [[[2, 1], 7], [[4, 1], 4], [[4, 2], 7], [[4, 3], 4], [[8, 2], 6], [[8, 3], 1], [[8, 4], 2], [[8, 9], 4], [[8, 11], 3], [[16, 2], 1], [[16, 9], 1], [[16, 11], 1], [[16, 19], 4]], 't': 5, 'transitivity': 1}