LaTex

I will like to let you know that the blog supports LaTex. So you write a LaTex code in here just by writing the code in between two dollar signs. Lets have a first problem.

Let $G$ be a group such that $|G|=p^2q$ where $p,q$ are primes. Show that $G$ is solvable. (note that we could have $p=q$.)