I'm really not understanding how to figure this out. Thanks in advance for help.
*homomorphic, sorry about the spelling in the title
So, what are the subgroups of ?
Also, you may want to prove that the homomorphic image of a cyclic group is cyclic.
These two facts will allow you to classify all homomorphic images.
So, if has a subgroup of order n then it will have as a homomorphic image. Does that make sense?...