Examples of groups which have a graphical regular representation

A group G is said to have a graphical regular representation if there exists a simple graph X such that (i) G · Aut(X), the full automorphism group of X, and (ii) G is regular as a permutation group on the sea V(X) of the vertices of X. Many papers studying which groups have a graphical regular representation have been published. The purpose of this note is to add some examples of groups which have a graphical regular representation.