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conjugacy class

For $h\in G$ , the orbit $\operatorname{Cl}(h)=\{ghg^{-1}:g\in G\}$ of $h$ under $G$ acting on itself by conjugation.

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Examples

In $S_3$ , the three transpositions $(1\,2),(1\,3),(2\,3)$ form a single conjugacy class.