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  • gps_transitive • Show schema
    {'ab': 0, 'abstract_label': '6718464.qj', 'arith_equiv': 0, 'aut_label': '1.1', 'auts': 1, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 0, 'gapidfull': '', 'gens': [[[1, 33, 7, 31, 9, 34, 3, 36], [2, 30, 4, 32, 8, 28, 6, 35], [5, 29], [10, 27], [11, 23, 18, 22, 12, 19, 14, 20], [13, 24, 15, 25, 16, 21, 17, 26]], [[1, 13, 7, 17, 3, 10, 6, 18], [2, 16], [4, 12, 5, 15, 9, 14, 8, 11], [19, 34, 27, 31, 24, 30, 25, 33], [20, 36, 22, 29, 23, 28, 21, 35], [26, 32]], [[1, 26, 6, 27, 4, 24, 7, 19, 2, 23, 9, 22, 8, 25, 5, 21], [3, 20], [10, 36], [11, 33, 15, 35, 13, 32, 18, 31, 12, 30, 17, 34, 16, 28, 14, 29]], [[1, 31, 8, 30, 6, 35], [2, 33, 9, 29, 4, 34], [3, 32, 7, 28, 5, 36], [10, 21], [11, 23], [12, 25], [13, 20], [14, 22], [15, 27], [16, 19], [17, 24], [18, 26]]], 'isomorphism': [339517167956208231403004662584883566735359, 128211909684489796536132276230943911851396, 264994491490253882579608564407220935184553, 319415312328635370221808248890548373640252], 'label': '36T55569', 'n': 36, 'name': 't36n55569', 'nilpotency': -1, 'num_conj_classes': 234, 'order': 6718464, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 15], [4, [4, 2], 35], [8, [4, 3], 12], [8, [8, 3], 15], [16, [8, 9], 18], [16, [16, 3], 1], [32, [8, 18], 4], [32, [16, 25], 3], [64, [8, 29], 2], [64, [16, 105], 1], [128, [8, 35], 2], [128, [16, 245], 1], [256, [16, 509], 1], [256, [16, 660], 2], [512, [16, 979], 2], [512, [32, 16571], 1], [1024, [32, 42199], 1], [41472, [18, 697], 2], [82944, [36, 19404], 2]], 'siblings': [[[36, 56124], 1]], 'solv': 1, 'subfields': [[[2, 1], 3], [[4, 2], 1]], 't': 55569, 'transitivity': 1}