The Abyssal Hegemony were the forces of the Abyss that opposed the Quara'tun Covenant in the Demon Spawn War. The leadership that made up the the Abyssal Hegemony was in no way organized on a hierarchy like its opposition. It was instead one of chaos with individual commands that worked in the interest of some demon and only allied with another if it served their self-interest; and woe to the "ally" if at the end of the battle they were badly beaten, for they would most likely fall victim to the superior might of their former ally.
Some of the demons that were part of the Abyssal Hegemony's leadership became demon princes during the Demon Spawn War or some time after it.