"inner party" is a term from the world of Orwell's "1984", but something similar existed in the Nomenklatura of the Soviet Union - an upper class of people in leadership positions who had extensive privileges not available to the average person or even the average party member.

It all looks as if, regardless of the ideology of the people involved, once it actually gets power, as-built communism in a one-party state ends up structured an awful lot like feudalism...