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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '2048.coj', 'arith_equiv': 0, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 0, 'gapidfull': '', 'gens': [[[1, 6, 11, 14, 3, 7, 10, 16], [2, 5, 12, 13, 4, 8, 9, 15]], [[5, 6], [9, 12, 10, 11], [13, 16], [14, 15]], [[1, 12, 2, 11], [3, 10, 4, 9], [7, 8], [13, 16, 14, 15]]], 'isomorphism': [16825058224703, 6913909485937, 12520406712247], 'label': '16T1455', 'n': 16, 'name': 't16n1455', 'nilpotency': 7, 'num_conj_classes': 44, 'order': 2048, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 7], [4, [4, 2], 7], [8, [4, 3], 6], [8, [8, 3], 1], [16, [8, 9], 3], [32, [8, 15], 1], [32, [8, 18], 1], [32, [16, 44], 1], [64, [8, 26], 1], [64, [8, 29], 1], [64, [32, 329], 1], [128, [16, 336], 1], [128, [16, 345], 1], [128, [16, 389], 1], [256, [32, 5717], 1], [512, [16, 981], 1], [1024, [32, 67457], 1]], 'siblings': [[[16, 1444], 4], [[16, 1455], 3], [[32, 99046], 4], [[32, 99047], 2], [[32, 99048], 2], [[32, 99049], 2], [[32, 99050], 2], [[32, 99051], 2], [[32, 99052], 2], [[32, 99149], 2], [[32, 99150], 2], [[32, 99151], 2], [[32, 99152], 2], [[32, 99153], 2], [[32, 99154], 2], [[32, 122208], 2], [[32, 122212], 2], [[32, 122236], 2], [[32, 122237], 2], [[32, 122242], 2], [[32, 122243], 2], [[32, 145654], 1], [[32, 145678], 1], [[32, 145682], 1], [[32, 145692], 2], [[32, 145702], 1], [[32, 180476], 1], [[32, 180521], 1], [[32, 180547], 1], [[32, 180557], 2], [[32, 180558], 1], [[32, 181406], 1], [[32, 181450], 1], [[32, 181476], 1], [[32, 181477], 1], [[32, 181485], 2]], 'solv': 1, 'subfields': [[[2, 1], 1], [[4, 3], 1], [[8, 26], 1]], 't': 1455}