  Let $p$ be an odd prime number. Peyre shows that there is a group $G$ of
order $p^{12}$ such that $H_{nr}^3(\bm{C}(G), \bm{Q}/\bm{Z})$ is non-trivial.
Using Peyre's method, we are able to prove that the same conclusion is true for
some groups of order $p^9$.
