For example, for S3 we have: e = (1 2)(1 2) (1 2) = (1 2) (2 3) = (1 2)(1 2 3) (1 3) = (1 2 3)(1 2) (1 2 3) = (1 2 3) (1 3 2) = (1 2)(1 2 3)(1 2) Infinite groups can also have finite generating sets.
例如，對於 S3 我們有: e = (1 2)(1 2) (1 2) = (1 2) (2 3) = (1 2)(1 2 3) (1 3) = (1 2 3)(1 2) (1 2 3) = (1 2 3) (1 3 2) = (1 2)(1 2 3)(1 2) 無限群也可以有有限生成集合。