Hopf algebra with a non-grouplike invertible element

What is an example of a Hopf algebra $(H,Delta,epsilon)$ containing an invertible element $h$ which is not grouplike: An element $h in H$ such that
$$
Delta(h) = h otimes hqquadtext{(grouplike)}
$$

and such that there exists a $h^{-1} in H$ with $hh^{-1} = h^{-1}h = 1$ (invertible).