Hi there,

I am trying to solve this problem:

Suppose G is a finite group, and the order of G is $\displaystyle {p_1}^2 {p_2}^2$, where $\displaystyle p_1,p_2$ are primes such that $\displaystyle {p_1}^2 < p_2$. Show that G is a solvable group.

I've tried various approaches through Sylow groups and normal subgroups etc but haven't been able to do it, can anyone lend a hand?

Many thanks!