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Let $G$ be the Symmetric group $S_4.$ Give a representative of each conjugacy class of $G.$ Then calculate the size of each conjugacy class.

I have no idea how to do this.

Krish
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    Do you know how to decompose a permutation into a product of disjoint cycles? If yes, see http://people.virginia.edu/~mve2x/3354_Fall2010/lecture21.pdf (Theorem 21.1.). And also see Example on page 3. – user35603 Jan 17 '15 at 19:14
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    Step 1. Prove that two elements of $S_n$ are conjugate in $S_n$ if and only if they have the same cycle structure. – Gerry Myerson Jan 17 '15 at 19:52

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