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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '288.1025', 'arith_equiv': 0, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 1025, 'gapidfull': '[288,1025]', 'gens': [[[1, 3, 9, 11, 13, 18], [2, 4, 10, 12, 14, 17], [5, 16, 7], [6, 15, 8]], [[1, 12, 16], [2, 11, 15], [3, 7, 14], [4, 8, 13], [5, 9, 18], [6, 10, 17]]], 'isomorphism': [6967598031952, 4540245100877095, 3775825738132128, 357001329484927, 357001369769520, 355693695038761, 356995142743687], 'label': '18T113', 'n': 18, 'name': 't18n113', 'nilpotency': -1, 'num_conj_classes': 14, 'order': 288, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 1], [3, [3, 1], 1], [6, [3, 2], 1], [6, [6, 1], 1], [18, [6, 5], 1]], 'siblings': [[[8, 42], 1], [[12, 126], 1], [[12, 128], 1], [[12, 129], 1], [[16, 708], 1], [[18, 112], 1], [[24, 692], 1], [[24, 694], 1], [[24, 695], 1], [[24, 702], 1], [[24, 703], 1], [[24, 704], 1], [[32, 9306], 1], [[36, 316], 1], [[36, 318], 1], [[36, 456], 1], [[36, 457], 1], [[36, 458], 1], [[36, 459], 1]], 'solv': 1, 'subfields': [[[3, 1], 1], [[3, 2], 1], [[9, 4], 1]], 't': 113, 'transitivity': 1}