What precisely are you trying to do? Figure out the Sylow subgroup structure of ? What tools do you have at your disposal?
If you assume that is simple then there are simple ways to knock a lot of these out :for example, since otherwise which contradicts simplicity or there is an embedding (by the simplicity of ) with (induced by the action of on the cosets) which would imply that , etc. That said, it is known that the only simple group of order is so you can read the Sylow subgroups from there.