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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '648.293', 'arith_equiv': 0, 'aut_label': '6.2', 'auts': 6, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 293, 'gapidfull': '[648,293]', 'gens': [[[1, 18, 7, 5, 16, 9, 4, 14, 11], [2, 17, 8, 6, 15, 10, 3, 13, 12], [19, 31, 28, 21, 34, 29, 23, 36, 26], [20, 32, 27, 22, 33, 30, 24, 35, 25]], [[1, 33, 17, 25, 11, 23, 5, 35, 15, 27, 7, 19, 4, 32, 13, 30, 9, 21], [2, 34, 18, 26, 12, 24, 6, 36, 16, 28, 8, 20, 3, 31, 14, 29, 10, 22]]], 'isomorphism': [361660178768544736405129250598983473848263, 52846671055257692692553887682654775761857, 52846671028089141291686044187043761028480], 'label': '36T979', 'n': 36, 'name': 't36n979', 'nilpotency': -1, 'num_conj_classes': 48, 'order': 648, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 1], [3, [3, 1], 1], [6, [3, 2], 1], [6, [6, 1], 1], [9, [9, 1], 1], [12, [4, 4], 1], [18, [6, 5], 1], [18, [18, 1], 1], [24, [6, 6], 1], [36, [18, 7], 1], [54, [9, 11], 1], [54, [18, 16], 1], [72, [12, 43], 1], [72, [18, 26], 1], [162, [18, 82], 1], [216, [18, 100], 1], [216, [36, 182], 1]], 'siblings': [[[36, 979], 2]], 'solv': 1, 'subfields': [[[2, 1], 1], [[3, 1], 1], [[6, 1], 1], [[6, 4], 1], [[6, 6], 1], [[12, 7], 1], [[18, 82], 1]], 't': 979}