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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '1152.157850', 'arith_equiv': 0, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 157850, 'gapidfull': '', 'gens': [[[1, 12], [2, 3]], [[1, 5, 9], [4, 8, 12]], [[1, 6, 12, 7], [2, 8, 10, 4], [3, 9, 11, 5]], [[2, 10], [3, 11], [4, 8], [5, 9]]], 'isomorphism': [215504669, 446792579, 475332453, 354931946, 155626061, 3629520, 3628802, 443163033, 40344], 'label': '12T198', 'n': 12, 'name': '1/2[2^6]F_36', 'nilpotency': -1, 'num_conj_classes': 26, 'order': 1152, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 1], 2], [4, [4, 2], 1], [8, [8, 2], 1], [36, [6, 10], 1], [72, [12, 40], 1], [576, [8, 46], 1]], 'siblings': [[[12, 199], 1], [[16, 1287], 1], [[16, 1290], 1], [[18, 265], 2], [[24, 2781], 1], [[24, 2798], 1], [[24, 2799], 1], [[24, 2800], 1], [[24, 2801], 1], [[24, 2802], 1], [[32, 96689], 1], [[32, 96706], 2], [[36, 1664], 1], [[36, 1665], 1], [[36, 1666], 1], [[36, 1667], 1], [[36, 1707], 2], [[36, 1708], 2], [[36, 1930], 1], [[36, 1932], 1]], 'solv': 1, 'subfields': [[[2, 1], 1], [[6, 10], 1]], 't': 198}