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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '768.1090070', 'arith_equiv': 0, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 1090070, 'gapidfull': '[768,1090070]', 'gens': [[[1, 12], [2, 11], [3, 10, 4, 9], [5, 15], [6, 16], [7, 13, 8, 14], [17, 19, 18, 20], [21, 24, 22, 23]], [[1, 24, 9, 8, 18, 15], [2, 23, 10, 7, 17, 16], [3, 21, 11, 5, 20, 14], [4, 22, 12, 6, 19, 13]]], 'isomorphism': [296041666005056285406743, 162121668868619099534158, 432525928347408679665960, 25903229683152197739006, 25852017094578671678767, 25903229681850750396726, 51091299166851825967, 1313941673647, 25903229683158464676480], 'label': '24T2199', 'n': 24, 'name': 't24n2199', 'nilpotency': -1, 'num_conj_classes': 30, 'order': 768, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 2], 1], [6, [3, 2], 1], [12, [6, 3], 1], [24, [4, 5], 3], [48, [6, 11], 3], [96, [8, 34], 1], [192, [8, 41], 2], [192, [12, 100], 1]], 'siblings': [[[16, 1068], 2], [[24, 1632], 2], [[24, 1639], 4], [[24, 2199], 1], [[24, 2248], 2], [[24, 2355], 2], [[24, 2357], 4], [[24, 2365], 2], [[24, 2373], 4], [[24, 2378], 2], [[24, 2382], 2], [[24, 2392], 2], [[24, 2405], 8], [[24, 2406], 4], [[24, 2407], 8], [[24, 2408], 4], [[24, 2417], 4], [[24, 2419], 2], [[24, 2421], 4], [[24, 2423], 2], [[24, 2426], 2], [[24, 2429], 2], [[32, 34622], 4], [[32, 34628], 1]], 'solv': 1, 'subfields': [[[2, 1], 3], [[3, 2], 1], [[4, 2], 1], [[6, 2], 1], [[6, 3], 2], [[12, 3], 1]], 't': 2199}