Sorry I don't know what to call them. On the Death Star 1 there seems to be cabinet or head of powers at the table. Like Governor Tarkin. However you never really see these type of people again after ANH all the others in the Empire seem more like officers. The Death Star guys seem more like congress members. Was this a how the rank system looked until the old senate was completely gone? The Imerial senate that Liea speaks of? We know also at the time of ANH the Emperor has finally ended all the old senate. After that it was just Emperor and Vader running things?