  We consider the CSLs of 4-dimensional hypercubic lattices. In particular, we
derive the coincidence index $\Sigma$ and calculate the number of different
CSLs as well as the number of inequivalent CSLs for a given $\Sigma$. The
hypercubic face centered case is dealt with in detail and it is sketched how to
derive the corresponding results for the primitive hypercubic lattice.
