The Imperial Council is in charge of the Imperial bureaucracy. This means the Council manages and handles almost all background administration tasks (with the exception of affairs within the Domain of Anaxes, which are mostly under the direct control of the Domain’s Veracity Bureau). Thus, below the Council itself, the bureaucracy remains a bureaucracy; supervisors answering to supervisors.
The Council itself is made of various Core world nobles, Imperial bureaucratic heads, and other high ranking officials all living in exile in the Outer Rim, each running a different bureaucratic department. Also, as the Imperial Council is the “face” of the Empire, the Council also handles all “foreign affairs” with non-Imperial systems.