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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '54.4', 'arith_equiv': 0, 'auts': 9, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 4, 'gapidfull': '[54,4]', 'gens': [[[1, 13], [2, 14], [3, 15], [4, 16], [5, 17], [6, 18], [7, 12], [8, 10], [9, 11]], [[1, 18, 9, 13, 4, 11, 2, 16, 7, 14, 5, 12, 3, 17, 8, 15, 6, 10]]], 'label': '18T16', 'n': 18, 'name': 't18n16', 'nilpotency': -1, 'num_conj_classes': 27, 'order': 54, 'parity': -1, 'pretty': '$C_9\\times S_3$', 'prim': 0, 'quotients': [[2, [2, 1], 1], [3, [3, 1], 1], [6, [3, 2], 1], [6, [6, 1], 1], [9, [9, 1], 1], [18, [6, 5], 1], [18, [18, 1], 1]], 'siblings': [[[27, 12], 1]], 'solv': 1, 'subfields': [[[2, 1], 1], [[3, 1], 1], [[6, 1], 1]], 't': 16}