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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '2187.366', 'arith_equiv': 0, 'aut_label': '9.1', 'auts': 9, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 366, 'gapidfull': '', 'gens': [[[10, 18, 14, 11, 16, 15, 12, 17, 13]], [[1, 14, 24], [2, 15, 23], [3, 13, 22], [4, 17, 25], [5, 18, 27], [6, 16, 26], [7, 10, 20], [8, 11, 19], [9, 12, 21]]], 'isomorphism': [806634631153204606767525363, 4193854019211396234855767161, 806634631154003877459037684, 80884, 418829649742327096404714484, 3323121644551678745537940484, 711549292608000], 'label': '27T434', 'n': 27, 'name': 't27n434', 'nilpotency': 5, 'num_conj_classes': 267, 'order': 2187, 'parity': 1, 'prim': 0, 'quotients': [[3, [3, 1], 4], [9, [9, 1], 3], [9, [9, 2], 1], [27, [9, 6], 2], [27, [9, 7], 1], [27, [27, 2], 1], [81, [9, 17], 1], [81, [27, 17], 1], [81, [27, 20], 1], [81, [27, 23], 1], [243, [27, 104], 1], [243, [27, 108], 2]], 'siblings': [[[27, 434], 26]], 'solv': 1, 'subfields': [[[3, 1], 1], [[9, 17], 1]], 't': 434}