  We investigate a family of Hopf algebras of dimension 72 whose coradical is
isomorphic to the algebra of functions on S_3. We determine the lattice of
submodules of the so-called Verma modules and as a consequence we classify all
simple modules. We show that these Hopf algebras are unimodular (as well as
their duals) but not quasitriangular; also, they are cocycle deformations of
each other.
