I need an example of a finite group $G$ by the following properties:
1) Order $G$ is $336$.
2) For every prime $p$, $G$ has not any elements of $7p$.
3) the number of Sylow $7$-subgroups $G$ is $8$.
4) $G$ is not isomorphic to $PGL(2,7)$.
Can anybody help me!