Can someone suggest some method to find 2-sylow subgroups of S6. From what I know - we first find 2-sylow subgroups of S8 and then find an isomorphism from S6 into S8. Then our desired subgroup is (S6 /\ xQx') where Q is 2-sylow subgroup of S8. This method requires us to find x, which may not be easy. IS there an alternative method?