# Solvability of group of order $pqrs$

If $p,q,r,s$ are distinct primes,and $G$ is a group of order $pqrs$,then is $G$ solvable ?

• Yes. There might be an elementary argument, but it follows from Burnside's transfer theorem that it is in fact supersolvable (as is any group of squarefree order). – Tobias Kildetoft Nov 27 '15 at 12:28
• Yes, see the question here. As Robinson says in the comment, the proof will need some non-trivial group theory. – Dietrich Burde Nov 27 '15 at 13:01