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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '128.194', 'arith_equiv': 0, 'aut_label': '4.2', 'auts': 4, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 194, 'gapidfull': '[128,194]', 'gens': [[[1, 13, 8, 15, 5, 10, 4, 11], [2, 14, 7, 16, 6, 9, 3, 12]], [[1, 2], [3, 7], [4, 8], [5, 6], [9, 13], [10, 14]], [[3, 8], [4, 7], [9, 13], [10, 14]]], 'isomorphism': [16811911036822, 9683057640545, 1313941673647, 1313941668480, 23737, 5606234755062, 4097506706062], 'label': '16T252', 'n': 16, 'name': 't16n252', 'nilpotency': 3, 'num_conj_classes': 32, '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, 7], 4], [16, [8, 9], 2], [16, [8, 10], 4], [16, [16, 2], 1], [32, [8, 16], 2], [32, [8, 19], 2], [32, [16, 15], 2], [32, [16, 21], 1], [64, [16, 72], 1], [64, [16, 76], 1], [64, [16, 95], 1]], 'siblings': [[[16, 252], 15], [[32, 574], 8], [[32, 575], 8], [[32, 576], 4], [[32, 577], 4], [[32, 578], 8]], 'solv': 1, 'subfields': [[[2, 1], 1], [[4, 1], 1], [[8, 7], 1], [[8, 16], 1], [[8, 20], 1]], 't': 252}