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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '128.859', 'arith_equiv': 1, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 859, 'gapidfull': '[128,859]', 'gens': [[[1, 16, 5, 12], [2, 15, 6, 11], [3, 10, 7, 13], [4, 9, 8, 14]], [[1, 7, 5, 4], [2, 8, 6, 3], [11, 16, 12, 15], [13, 14]], [[1, 14, 3, 16], [2, 13, 4, 15], [5, 10, 7, 11], [6, 9, 8, 12]]], 'isomorphism': [5606234750137, 15310287825847, 4097506729559, 12547406620368], 'label': '16T297', 'n': 16, 'name': 't16n297', 'nilpotency': 4, 'num_conj_classes': 23, 'order': 128, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 7], [4, [4, 1], 4], [4, [4, 2], 7], [8, [4, 3], 4], [8, [8, 2], 6], [8, [8, 3], 1], [16, [8, 9], 2], [16, [8, 10], 4], [16, [16, 2], 1], [32, [8, 19], 2], [32, [16, 21], 1], [64, [16, 76], 1]], 'siblings': [[[16, 234], 2], [[16, 250], 2], [[16, 297], 3], [[16, 310], 2], [[32, 524], 2], [[32, 525], 1], [[32, 526], 2], [[32, 569], 2], [[32, 570], 1], [[32, 689], 4], [[32, 690], 4], [[32, 718], 2], [[32, 719], 1]], 'solv': 1, 'subfields': [[[2, 1], 1], [[4, 3], 1], [[8, 19], 1]], 't': 297}