If $G$ is an abelian group of order 72, do we know how many subgroups of order 8 it has?
Just because it's a divisor doesn't mean that there is a subgroup of that size. But I'm wrong. Why?
If $G$ is an abelian group of order 72, do we know how many subgroups of order 8 it has?
Just because it's a divisor doesn't mean that there is a subgroup of that size. But I'm wrong. Why?