Problem:

Let G be a group such that $\displaystyle \left| G \right| = {p^3}$. Show that the center of G has more than one element, i.e. $\displaystyle \left| {Z\left( G \right)} \right| > 1$.

[I'm wondering how to solve this. I'm supposing this involves the Sylow theorems but I don't know how to apply them in this case. Any hint or technique will help a lot.]