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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '256.26545', 'arith_equiv': 0, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 26545, 'gapidfull': '[256,26545]', 'gens': [[[1, 19, 7, 16, 2, 20, 8, 15], [3, 18, 5, 14, 4, 17, 6, 13], [9, 25, 31, 22, 10, 26, 32, 21], [11, 27, 30, 23, 12, 28, 29, 24]], [[1, 12, 2, 11], [3, 10, 4, 9], [5, 31, 6, 32], [7, 30, 8, 29], [13, 25, 14, 26], [15, 27, 16, 28], [17, 22, 18, 21], [19, 24, 20, 23]], [[1, 18, 29, 21, 2, 17, 30, 22], [3, 19, 31, 23, 4, 20, 32, 24], [5, 15, 10, 27, 6, 16, 9, 28], [7, 13, 11, 26, 8, 14, 12, 25]], [[1, 5, 11, 32], [2, 6, 12, 31], [3, 8, 10, 29], [4, 7, 9, 30], [13, 28, 21, 19], [14, 27, 22, 20], [15, 26, 23, 17], [16, 25, 24, 18]]], 'isomorphism': [186921138136450311516480265180609793, 110189956281159815141949915804650880, 161163820662245952356101217750011582, 16976205612381906363352243177468816, 50965169174591167574165882264993153], 'label': '32T4769', 'n': 32, 'name': 't32n4769', 'nilpotency': 4, 'num_conj_classes': 34, 'order': 256, '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, [8, 29], 2], [64, [16, 105], 1], [128, [16, 245], 1]], 'siblings': [[[16, 636], 4], [[16, 652], 4], [[16, 657], 4], [[32, 3110], 4], [[32, 3111], 2], [[32, 3112], 2], [[32, 3113], 4], [[32, 3114], 2], [[32, 3115], 2], [[32, 3116], 2], [[32, 3185], 2], [[32, 3186], 2], [[32, 3187], 4], [[32, 3188], 2], [[32, 3189], 2], [[32, 3190], 2], [[32, 3209], 2], [[32, 3210], 2], [[32, 3211], 2], [[32, 3212], 2], [[32, 3213], 2], [[32, 4769], 3], [[32, 7442], 2], [[32, 7470], 2]], 'solv': 1, 'subfields': [[[2, 1], 3], [[4, 2], 1], [[4, 3], 2], [[8, 9], 1], [[8, 29], 2], [[16, 271], 1]], 't': 4769}
