-
gps_transitive • Show schema
Hide schema
{'ab': 0, 'abstract_label': '120.36', 'arith_equiv': 0, 'auts': 1, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 36, 'gapidfull': '[120,36]', 'gens': [[[1, 11], [2, 7], [4, 14], [5, 10], [8, 13]], [[1, 7, 4, 13], [2, 14, 8, 11], [3, 6, 12, 9]], [[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]]], 'label': '15T11', 'n': 15, 'name': 'F(5)[x]S(3)', 'nilpotency': -1, 'num_conj_classes': 15, 'order': 120, 'parity': -1, 'pretty': '$F_5 \\times S_3$', 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 1], 2], [4, [4, 2], 1], [6, [3, 2], 1], [8, [8, 2], 1], [12, [6, 3], 1], [20, [5, 3], 1], [24, [12, 11], 1], [40, [10, 5], 1]], 'siblings': [[[30, 23], 1], [[30, 24], 1], [[30, 32], 1]], 'solv': 1, 'subfields': [[[3, 2], 1], [[5, 3], 1]], 't': 11}