-
gps_transitive • Show schema
Hide schema
{'ab': 0, 'abstract_label': '256.4741', 'arith_equiv': 0, 'aut_label': '4.2', 'auts': 4, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 4741, 'gapidfull': '[256,4741]', 'gens': [[[1, 26, 3, 27], [2, 25, 4, 28], [5, 30, 7, 32], [6, 29, 8, 31], [9, 21, 11, 23], [10, 22, 12, 24], [13, 18, 15, 20], [14, 17, 16, 19]], [[1, 14, 3, 16], [2, 13, 4, 15], [5, 10, 7, 12], [6, 9, 8, 11], [17, 26, 18, 25], [19, 27, 20, 28], [21, 29, 22, 30], [23, 31, 24, 32]], [[1, 7, 3, 5], [2, 8, 4, 6], [9, 24, 10, 23], [11, 22, 12, 21], [13, 17, 14, 18], [15, 19, 16, 20], [25, 30, 28, 32], [26, 29, 27, 31]]], 'isomorphism': [178176624635934367227105167790696263, 50965158269777982467628354592199758, 50965135685698299587175495023107073, 25207896932934229344716810326857623, 246154631305746248008313554255795079], 'label': '32T4401', 'n': 32, 'name': 't32n4401', 'nilpotency': 4, 'num_conj_classes': 37, 'order': 256, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 7], [4, [4, 1], 4], [4, [4, 2], 7], [8, [4, 3], 4], [8, [8, 2], 6], [8, [8, 3], 1], [16, [8, 9], 2], [16, [8, 10], 4], [16, [16, 2], 1], [32, [8, 15], 1], [32, [8, 17], 2], [32, [8, 19], 2], [32, [16, 21], 1], [32, [16, 32], 1], [64, [8, 27], 2], [64, [16, 76], 1], [64, [16, 111], 1], [64, [32, 264], 1], [128, [16, 227], 1], [128, [16, 234], 1], [128, [16, 254], 1]], 'siblings': [[[32, 4016], 4], [[32, 4394], 2], [[32, 4401], 1], [[32, 4438], 8], [[32, 5321], 2], [[32, 5326], 2], [[32, 5347], 4]], 'solv': 1, 'subfields': [[[2, 1], 3], [[4, 2], 1], [[4, 3], 2], [[8, 9], 1], [[8, 28], 2], [[16, 32], 1], [[16, 250], 1], [[16, 283], 1]], 't': 4401}
