  We study the representability of actions in the category of crossed modules
of dialgebras via tetramultipliers. We deduce a pair of dialgebras in order to
construct an object which, under certain circumstances, is the actor (also
known as the split extension classifier). Moreover, we give give a full
description of actions in terms of equations. Finally, we check that under the
aforementioned circumstances, the center coincides with the kernel of the
canonical map from a crossed module to its actor.
