  We study isometric embeddings of some solutions of the Einstein equations
with suffciently high symmetries into a flat ambient space. We briefly describe
a method for constructing surfaces with a given symmetry. We discuss all
minimal embeddings of the Schwarzschild metric obtained using this method and
show how the method can be used to construct all minimal embeddings for the
Friedmann models. We classify all the embeddings in terms of realizations of
symmetries of the corresponding solutions.
