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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '128.1741', 'arith_equiv': 0, 'aut_label': '4.2', 'auts': 4, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 1741, 'gapidfull': '[128,1741]', 'gens': [[[1, 7, 3, 5], [2, 8, 4, 6], [9, 13, 11, 15], [10, 14, 12, 16], [17, 29, 19, 31], [18, 30, 20, 32], [21, 27, 23, 25], [22, 28, 24, 26]], [[1, 30, 14, 25, 3, 32, 16, 27], [2, 29, 13, 26, 4, 31, 15, 28], [5, 23, 12, 18, 7, 21, 10, 20], [6, 24, 11, 17, 8, 22, 9, 19]], [[1, 6, 15, 10, 3, 8, 13, 12], [2, 5, 16, 9, 4, 7, 14, 11], [17, 30, 23, 28, 19, 32, 21, 26], [18, 29, 24, 27, 20, 31, 22, 25]], [[1, 26, 14, 31, 3, 28, 16, 29], [2, 25, 13, 32, 4, 27, 15, 30], [5, 17, 12, 22, 7, 19, 10, 24], [6, 18, 11, 21, 8, 20, 9, 23]]], 'isomorphism': [16976205612356003133667608821760000, 152932298545526331984462662252572799, 45233170280216183035417686352, 8231691320578226211046411712681647, 67977927899057663592585507333758016], 'label': '32T1479', 'n': 32, 'name': 't32n1479', 'nilpotency': 3, 'num_conj_classes': 32, 'order': 128, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 15], [4, [4, 2], 35], [8, [4, 3], 12], [8, [8, 3], 15], [16, [8, 9], 18], [16, [16, 3], 1], [32, [8, 18], 4], [32, [16, 25], 3], [64, [16, 105], 1], [64, [16, 116], 2]], 'siblings': [[[32, 1385], 8], [[32, 1479], 3]], 'solv': 1, 'subfields': [[[2, 1], 3], [[4, 2], 1], [[4, 3], 6], [[8, 4], 1], [[8, 9], 2], [[8, 18], 4], [[16, 39], 1], [[16, 116], 2]], 't': 1479}