In the theory of coupled cell networks, formalized by Ian Stewart, Martin Golu- bitsky and coworkers, a cell is a dynamical system and a coupled cell system is a finite collection of interacting cells. A coupled cell system can be associated with a network - a directed graph whose nodes represent cells and whose arrows represent couplings between cells. Given a network, it is potentially of wide interest to study when distinct individuals exhibit identical dynamics, being synchronized, for every admissible vector field, consis- tent with the structure of the network. Given a regular network (in which all cells have the same type and receive the same number of inputs and all arrows have the same type), we define the special Jordan subspaces to that network and we use these subspaces to study the synchrony phenomenon in the theory of coupled cell networks.