can you help me to finish this question about group and symmetry?

1. Find all the conjugacy classes of S4 and its class equation. 2. Let 8(0) be the Symmetry group of the cube in R3 with vertices (i1, i1, i1), along with the usual homomorphisms, @539, q, det and f, as dened in Problem Set 2, Question 3, and Problem Set 3, Question 2. Find the conjugacy classes of S (C) and its class equation. Interpret the elements in each cOnjugacy class geometrically. For example, One conjugacy class consists of all the matrices that represent rotations of order 3 ar0und a diagonal of the cube. (Hint: Question 1 is useful.)