Are there class societies in communism?

We must first delineate between Communism as Marx formulated it and Communism in Practice.

In Marxian Communism, there should be a classless society where people only possess personally what they need to survive and all major assets and capital are communally owned.

In Communism in Practice, there is a clear class distinction between Party Members and Common Citizens, where Party Members have increased permissions in terms of places where they can live and job posts in which they can work. Also, a degree of nepotism develops in most Communist countries, creating an effective nobility.