  We classify all finite-dimensional Hopf algebras over an algebraically closed
field of characteristic zero such that its coradical is isomorphic to the
algebra of functions over a dihedral group D_m, with m=4a> 11. We obtain this
classification by means of the lifting method, where we use cohomology theory
to determine all possible deformations. Our result provides an infinite family
of new examples of finite-dimensional copointed Hopf algebras over dihedral
groups.
