This document summarizes a paper presented at a conference on educational stratification in contemporary societies. The paper examines elite private secondary education in Greece and how it relates to social stratification. A survey was conducted of 1003 students from 13 well-known private schools in Athens. The survey aimed to show how families' social backgrounds influence their choice of private school and the educational and social benefits they expect. It also examined internal hierarchies that separate top private schools from less prestigious ones. The results emphasized the social backgrounds of families, internal differentiation among elite private schools, and their relationship to Greece's social stratification.