-
gps_transitive • Show schema
Hide schema
{'ab': 0, 'abstract_label': '80.34', 'arith_equiv': 0, 'auts': 4, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 34, 'gapidfull': '[80,34]', 'gens': [[[1, 39, 27, 31], [2, 40, 28, 32], [3, 37, 25, 29], [4, 38, 26, 30], [5, 12, 21, 18], [6, 11, 22, 17], [7, 9, 24, 20], [8, 10, 23, 19], [13, 34, 15, 36], [14, 33, 16, 35]], [[1, 22, 4, 24], [2, 21, 3, 23], [5, 11, 39, 34], [6, 12, 40, 33], [7, 10, 37, 36], [8, 9, 38, 35], [13, 27, 31, 20], [14, 28, 32, 19], [15, 25, 29, 18], [16, 26, 30, 17]]], 'label': '40T45', 'n': 40, 'name': 't40n45', 'nilpotency': -1, 'num_conj_classes': 14, 'order': 80, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 1], 2], [4, [4, 2], 1], [8, [4, 3], 2], [8, [8, 2], 1], [16, [8, 10], 1], [20, [5, 3], 1], [40, [10, 5], 1]], 'siblings': [[[20, 19], 2], [[20, 22], 2], [[40, 26], 1], [[40, 55], 2]], 'solv': 1, 'subfields': [[[2, 1], 1], [[4, 1], 1], [[4, 3], 2], [[5, 3], 1], [[8, 10], 1], [[10, 4], 1], [[20, 9], 1], [[20, 22], 2]], 't': 45}