-
gps_transitive • Show schema
Hide schema
{'ab': 0, 'abstract_label': '180.26', 'arith_equiv': 0, 'auts': 3, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 26, 'gapidfull': '[180,26]', 'gens': [[[1, 26, 32, 11, 17, 41], [2, 25, 31, 10, 16, 42], [3, 27, 33, 12, 18, 40], [4, 37, 35, 24, 20, 7], [5, 39, 34, 23, 19, 8], [6, 38, 36, 22, 21, 9], [13, 29, 45], [14, 28, 44], [15, 30, 43]], [[1, 45, 40, 37, 36, 31, 29, 26, 24, 20, 16, 14, 11, 8, 4, 3, 44, 42, 39, 34, 33, 30, 25, 22, 19, 17, 15, 12, 9, 6], [2, 43, 41, 38, 35, 32, 28, 27, 23, 21, 18, 13, 10, 7, 5]]], 'label': '45T14', 'n': 45, 'name': 't45n14', 'nilpotency': -1, 'num_conj_classes': 36, 'order': 180, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 3], [3, [3, 1], 1], [4, [4, 2], 1], [6, [3, 2], 1], [6, [6, 1], 3], [10, [5, 2], 1], [12, [6, 3], 1], [12, [12, 2], 1], [18, [6, 5], 1], [20, [10, 3], 1], [30, [15, 3], 1], [36, [12, 18], 1], [60, [15, 7], 1], [60, [30, 5], 1]], 'siblings': [[[30, 44], 1]], 'solv': 1, 'subfields': [[[3, 1], 1], [[3, 2], 1], [[5, 2], 1], [[9, 4], 1], [[15, 3], 1], [[15, 7], 1]], 't': 14}