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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '512.51562', 'arith_equiv': 0, 'aut_label': '4.2', 'auts': 4, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 51562, 'gapidfull': '[512,51562]', 'gens': [[[1, 3, 2, 4], [5, 7, 6, 8], [9, 15, 13, 11], [10, 16, 14, 12]], [[1, 13, 8, 16, 6, 10, 3, 11], [2, 14, 7, 15, 5, 9, 4, 12]], [[1, 12], [2, 11], [3, 9, 8, 14], [4, 10, 7, 13], [5, 16], [6, 15]]], 'isomorphism': [16811871131929, 1313941708799, 6906764373817, 4103734113232, 1334625471238, 5167, 5606234731567, 28783, 6920176423663], 'label': '16T969', 'n': 16, 'name': 't16n969', 'nilpotency': 4, 'num_conj_classes': 44, 'order': 512, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 7], [4, [4, 2], 7], [8, [4, 3], 12], [8, [8, 3], 1], [16, [8, 9], 6], [16, [8, 11], 1], [32, [8, 18], 3], [32, [16, 34], 3], [32, [16, 51], 1], [64, [8, 29], 6], [64, [32, 320], 1], [128, [8, 35], 2], [128, [16, 342], 2], [128, [16, 350], 3], [256, [32, 5807], 2], [256, [32, 6030], 1]], 'siblings': [[[16, 969], 63], [[32, 10844], 32], [[32, 10845], 32], [[32, 10846], 16], [[32, 10847], 16], [[32, 10848], 16], [[32, 19406], 8], [[32, 19412], 8], [[32, 19429], 16], [[32, 20944], 16], [[32, 21627], 8], [[32, 21633], 16], [[32, 21675], 16], [[32, 21677], 8]], 'solv': 1, 'subfields': [[[2, 1], 1], [[4, 3], 1], [[8, 29], 1], [[8, 35], 2]], 't': 969}