  Let $\mathcal{D}$ be the Drinfeld double of $\mathcal{FK}_3\#\Bbbk{\mathbb
S}_3$. The simple $\mathcal{D}$-modules were described in arXiv:1409.0438. In
the present work, we describe the indecomposable summands of the tensor product
between them. We classify the extensions of the simple modules and show that
$\mathcal{D}$ is of wild representation type. We also investigate the
projective modules and their tensor products.
