  We give a classification of all quasitriangular structures and ribbon
elements of $\mathcal{D}(G)$ explicitly in terms of group homomorphisms and
central subgroups. This can equivalently be interpreted as an explicit
description of all braidings with which the tensor category
$\operatorname{Rep}(\mathcal{D}(G))$ can be endowed. We also characterize their
equivalence classes under the action of $\operatorname{Aut}(\mathcal{D}(G))$
and determine when they are factorizable.
