D is a subgroup of S6, D={e,a,a^2,a^3,a^4,a^5,b,ab,a^2b,a^3b,a^4b,a^5b}

I'm trying to find the conjugancy class of a^2 where a^2=(135)(246).

I understand how u find the conjugancy class of a group like s6 but I don't understand how you would do it for a single element.

For a group, I write down the cycle structure, number of elements and parity. So for an element do I just do the one cycle structure of (xxx)(xxx)?