hi, any hints to give me a good idea on how to solve this question would be greatly appreciated:

Question:

let G be a group acting on itself by conjugation, $\displaystyle g . x = gxg^{-1}$

Describe the set-theorem and numerical forms of the Class Equation for these actions explicitly when

(i) $\displaystyle G = A_4 $

(ii) $\displaystyle G = D_8 $

(iii) $\displaystyle G = D_{10} $

thanx