By using the complete Chaos army list, it is possible to have a mixture of Beasts, Mortal and Daemonic characters in the same army. However, while they worship the same gods and fight against a common foe, the disparate Champions of Chaos rarely fight freely alongside each other.
Daemonic units can never be joined by a non-Daemonic character, and a Daemonic character can never join non-Daemonic units.
The Human (or near-human!) followers of the Chaos gods have a tendency to look down upon the most brutal beasts and creatures. Though a unit of Knights of Chaos may find common cause with a Beastlord, they would not consider him their master, and similarly, a Chaos Champion who has Beastmen in his retinue would deem their company beneath him. For these reasons, a Beast character cannot join Mortal units and Mortal characters cannot join Beast units. They do, however, benefit from the General's Leadership and the presence of a Battle Standard as normal.