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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '648.705', 'arith_equiv': 0, 'aut_label': '1.1', 'auts': 1, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 705, 'gapidfull': '[648,705]', 'gens': [[[1, 2, 9]], [[1, 2]], [[1, 4, 7], [2, 5, 8], [3, 6, 9]]], 'isomorphism': [40442, 138690, 40440, 122, 1440, 12, 323433], 'label': '9T28', 'n': 9, 'name': '[S(3)^3]3=S(3)wr3', 'nilpotency': -1, 'num_conj_classes': 17, 'order': 648, 'parity': -1, 'pretty': '$S_3 \\wr C_3 $', 'prim': 0, 'quotients': [[2, [2, 1], 1], [3, [3, 1], 1], [6, [6, 1], 1], [12, [4, 4], 1], [24, [6, 6], 1]], 'siblings': [[[12, 176], 1], [[18, 197], 2], [[18, 198], 2], [[18, 202], 1], [[18, 204], 1], [[18, 206], 1], [[18, 207], 1], [[24, 1528], 1], [[24, 1539], 1], [[27, 210], 1], [[27, 213], 1], [[36, 1094], 2], [[36, 1095], 1], [[36, 1096], 2], [[36, 1097], 1], [[36, 1099], 1], [[36, 1101], 1], [[36, 1102], 1], [[36, 1103], 1], [[36, 1137], 1], [[36, 1238], 1]], 'solv': 1, 'subfields': [[[3, 1], 1]], 't': 28}