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{'ab': 0, 'abstract_label': '746496.n', 'arith_equiv': 0, 'aut_label': '6.2', 'auts': 6, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 0, 'gapidfull': '', 'gens': [[[1, 27, 5, 29, 3, 26, 2, 28, 6, 30, 4, 25], [7, 19, 10, 22, 11, 24, 8, 20, 9, 21, 12, 23], [13, 17, 16, 14, 18, 15], [31, 34, 36], [32, 33, 35]], [[1, 20, 2, 19], [3, 22, 4, 21], [5, 24, 6, 23], [7, 29, 12, 26, 9, 28, 8, 30, 11, 25, 10, 27], [13, 16, 18], [14, 15, 17], [31, 32], [33, 34], [35, 36]], [[1, 24, 3, 19, 6, 21], [2, 23, 4, 20, 5, 22], [7, 34, 11, 31, 9, 36], [8, 33, 12, 32, 10, 35], [13, 29, 14, 30], [15, 27, 16, 28], [17, 26, 18, 25]]], 'label': '36T34160', 'n': 36, 'name': 't36n34160', 'nilpotency': -1, 'num_conj_classes': 1494, 'order': 746496, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 7], [4, [4, 2], 7], [6, [3, 2], 4], [8, [8, 3], 1], [12, [6, 3], 12], [18, [9, 5], 1], [24, [4, 5], 3], [24, [12, 10], 4], [36, [18, 12], 3], [48, [6, 11], 9], [54, [9, 12], 1], [72, [12, 44], 3], [72, [36, 44], 1], [96, [8, 34], 1], [96, [12, 48], 3], [108, [18, 52], 3], [144, [18, 66], 9], [192, [12, 100], 3], [216, [18, 107], 3], [216, [36, 237], 1], [288, [24, 699], 1], [288, [36, 362], 3], [384, [12, 139], 1], [432, [18, 156], 9], [576, [36, 731], 3], [768, [16, 1055], 1], [864, [36, 1279], 1], [864, [36, 1327], 3], [1152, [36, 1838], 1], [1296, [9, 31], 1], [1536, [24, 3386], 1], [1728, [36, 2367], 3], [2592, [18, 394], 1], [3072, [12, 250], 1], [3456, [36, 4531], 1], [3888, [18, 444], 1], [5184, [18, 483], 1], [7776, [36, 7274], 1], [9216, [36, 7967], 1], [10368, [18, 556], 1], [11664, [18, 583], 1], [15552, [36, 10093], 1], [23328, [36, 12534], 1], [27648, [36, 13248], 1], [31104, [36, 13554], 1], [46656, [36, 16034], 1], [82944, [36, 19228], 1], [93312, [36, 19684], 1]], 'siblings': [[[36, 34160], 15]], 'solv': 1, 'subfields': [[[3, 2], 1], [[6, 11], 1], [[12, 250], 1], [[18, 583], 1]], 't': 34160}