How many elements in $S\_{12}$ are conjugate to the permutation $$\sigma=(6,2,4,8)(3,5,1)(10,11,7)(9,12)?$$
How many elements commute with $\sigma$ in $S\_{12}$?

I believe I use the equation $n!/|K\_{\sigma}|$ for the second question, but I'm not sure. Is anyone aware of how to do these?