Finding Subgroups of certain orders

1. Nov 19, 2011

RVP91

I'm not sure how for example I would go about finding the subgroups of S_4 of order 4?

I don't quite understand how I would I find or construct subgroups for a permutation group?

Thanks

2. Nov 19, 2011

lavinia

1 ->2 ->3 ->4 ->1
1 ->3 ->2 ->4 ->1 for example

3. Nov 19, 2011

jgens

Suppose $\sigma \in S_n$ is a 4-cycle. What can you say about $\langle \sigma \rangle$?

4. Nov 19, 2011