I've got question whether Wolfram Alpha has bug in showing permutations. Check permutation rules, list, and two-line notation in this permutation.
I'd expect same result as was on Wolfram Alpha blog (first image).
Is it just some other convention or bug?
There's two conventions, some read from right to left, some from left to right. Obviously they don't give the same result, so you need to be sure which you're working with.