-
gps_transitive • Show schema
Hide schema
{'ab': 0, 'abstract_label': '81920.cud', 'arith_equiv': 0, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 10, 'bound_siblings': 10, 'cyc': 0, 'gapid': 0, 'gapidfull': '', 'gens': [[[1, 35, 9, 28, 22, 8, 38, 15, 32, 19], [2, 36, 10, 27, 21, 7, 37, 16, 31, 20], [3, 34, 12, 26, 23, 5, 40, 13, 29, 18], [4, 33, 11, 25, 24, 6, 39, 14, 30, 17]], [[1, 27, 35, 19, 13, 2, 28, 36, 20, 14], [3, 25, 34, 17, 16, 4, 26, 33, 18, 15], [5, 30, 39, 23, 10, 6, 29, 40, 24, 9], [7, 32, 38, 22, 11, 8, 31, 37, 21, 12]], [[1, 27, 35, 24, 10], [2, 28, 36, 23, 9], [3, 25, 34, 21, 12], [4, 26, 33, 22, 11], [5, 29, 40, 19, 14], [6, 30, 39, 20, 13], [7, 31, 37, 17, 16], [8, 32, 38, 18, 15]]], 'isomorphism': [753661796417679929130763750281608645951421141817, 564694681209456325216813330068673868275452062640, 732175111125687233496534850344003298171558416137], 'label': '40T29621', 'n': 40, 'name': 't40n29621', 'nilpotency': -1, 'num_conj_classes': 212, 'order': 81920, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 1], [5, [5, 1], 1], [10, [10, 1], 1], [80, [10, 8], 17], [160, [10, 14], 17]], 'siblings': [], 'solv': 1, 'subfields': [[[5, 1], 1], [[10, 8], 1], [[10, 14], 2], [[20, 263], 1]], 't': 29621, 'transitivity': 1}