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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '180.5', 'arith_equiv': 0, 'auts': 9, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 5, 'gapidfull': '[180,5]', 'gens': [[[1, 36, 40, 37, 17, 5, 10, 8, 31, 20, 25, 24, 3, 35, 42, 39, 18, 6, 12, 9, 33, 21, 26, 23, 2, 34, 41, 38, 16, 4, 11, 7, 32, 19, 27, 22], [13, 30, 45, 15, 29, 43, 14, 28, 44]], [[1, 4, 17, 19, 31, 36, 3, 5, 18, 20, 33, 35, 2, 6, 16, 21, 32, 34], [7, 28, 22, 45, 37, 14, 8, 30, 24, 43, 39, 13, 9, 29, 23, 44, 38, 15], [10, 41, 25, 11, 42, 27, 12, 40, 26]]], 'label': '45T23', 'n': 45, 'name': 't45n23', 'nilpotency': -1, 'num_conj_classes': 45, 'order': 180, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 1], [3, [3, 1], 1], [4, [4, 1], 1], [6, [6, 1], 1], [9, [9, 1], 1], [12, [12, 1], 1], [18, [18, 1], 1], [20, [5, 3], 1], [36, [36, 1], 1], [60, [15, 8], 1]], 'siblings': [], 'solv': 1, 'subfields': [[[3, 1], 1], [[5, 3], 1], [[9, 1], 1], [[15, 8], 1]], 't': 23}