  Let $\mathcal{A}$ be a near-group fusion category of type $\mathbb{Z}_3+6$.
We show that there is a modular tensor equivalence
$\mathcal{Z}(\mathcal{A})\cong\mathcal{C}(\mathbb{Z}_3,\eta)\boxtimes\mathcal{C}(\mathfrak{sl}_3,9)_{\mathbb{Z}_3}^0$.
Moreover, we construct two non-trivial faithful extensions of $\mathcal{A}$
explicitly, whose Drinfeld centers can also be obtained from representation
categories quantum groups at root of unity.
