  In this article, we solve the equivalence problem for 2--nondegenerate CR
geometries that have (at every point) a homogeneous space $G/H$ as a maximally
symmetric model for $G$ simple real Lie group of CR automorphisms. This
completes the classification of real submanifolds in complex space that are
maximally symmetric models with a real simple CR automorphism group. In
particular, we construct (local) embeddings of these models into complex space.
