Possible Duplicate:
There does not exist a group $G$ such that $|G/Z(G)|=pq$ for $p,q$ prime.
Let $p$ and $q$ prime numbers, with $p$G$ where $$\left\lvert\frac{G}{Z(G)}\right\rvert=pq.$$
Possible Duplicate:
There does not exist a group $G$ such that $|G/Z(G)|=pq$ for $p,q$ prime.
Let $p$ and $q$ prime numbers, with $p$G$ where $$\left\lvert\frac{G}{Z(G)}\right\rvert=pq.$$