  The Drinfeld double D of the bosonization of a finite-dimensional Nichols
algebra B(V) over a finite non-abelian group G is called a quantum group at a
non-abelian group. We introduce Verma modules over such a quantum group D and
prove that a Verma module has simple head and simple socle. This provides two
bijective correspondences between the set of simple modules over D and the set
of simple modules over the Drinfeld double D(G). As an example, we describe the
lattice of submodules of the Verma modules over the quantum group at the
symmetric group S3 attached to the 12-dimensional Fomin-Kirillov algebra,
computing all the simple modules and calculating their dimensions.
