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gps_transitive • Show schema
{'ab': 0, 'abstract_label': '72.40', 'arith_equiv': 0, 'aut_label': '2.1', 'aut_sg_no': 1, 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 40, 'gapidfull': '[72,40]', 'gens': [[[1, 12, 10], [2, 11, 9], [3, 16, 6, 17, 14, 7], [4, 15, 5, 18, 13, 8]], [[1, 15, 3, 8], [2, 16, 4, 7], [5, 10, 11, 14], [6, 9, 12, 13], [17, 18]]], 'isomorphism': [5282253023028169, 3375476331869104, 3377025074678993, 1867775074519663, 4893142649835001], 'label': '18T34', 'n': 18, 'name': 't18n34', 'nilpotency': -1, 'num_conj_classes': 9, 'order': 72, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 2], 1], [8, [4, 3], 1]], 'siblings': [[[6, 13], 2], [[9, 16], 1], [[12, 34], 2], [[12, 35], 2], [[12, 36], 2], [[18, 34], 1], [[18, 36], 1], [[24, 72], 2], [[36, 53], 1], [[36, 54], 2]], 'solv': 1, 'subfields': [[[2, 1], 1], [[6, 13], 1], [[9, 16], 1]], 't': 34}