I have a question regarding permutations.
If $\gamma = (123) (45) (6)$ and \gamma ' = (1)(23) (456) in $S_{6}$ how do I then determine the numbers of permutations $\sigma$ in $S_{6}$ so \gamma ' = \sigma \gamma \sigma ^{-1}?
How do I do this in general? and when I have determine the number, how can I then find them? (I suppose bruteforce is a way).