  Let $\mathcal{G}$ be a finite 2-group. We show that the 2-category
$2\mathrm{Rep}(\mathcal{G})$ of finite semisimple 2-representations is a
symmetric fusion 2-category. We also relate the auto-equivalence 2-group of the
symmetric monoidal forgetful 2-functor $\omega : 2\mathrm{Rep}(\mathcal{G}) \to
2\mathrm{Vec}$ to the auto-equivalence 2-group of the regular algebra and show
that they are equivalent to $\mathcal{G}$. This result categorifies the usual
Tannaka-Krein duality for finite groups.
