  The Chermak-Delgado lattice of a finite group is a modular, self-dual
sublattice of the lattice of subgroups. We prove that the Chermak-Delgado
lattice of a central product contains the product of the Chermak-Delgado
lattices of the relevant central factors. Furthermore, we obtain information
about heights of elements in the Chermak-Delgado lattice relative to their
heights in the Chermak-Delgado lattices of central factors. We also explore how
the central product can be used as a tool in investigating Chermak-Delgado
lattices.
