  In the present paper we prove sandwich classification for the overgroups of
the subsystem subgroup $E(\Delta,R)$ of the Chevalley group $G(\Phi,R)$ for the
three types of pair $(\Phi,\Delta)$ (the root system and its subsystem) such
that the group $G(\Delta,R)$ is (up to torus) a Levi subgroup of the parabolic
subgroup with abelian unipotent radical. Namely we show that for any such an
overgroup $H$ there exists a unique pair of ideals $\sigma$ of the ring $R$
such that $E(\Phi,\Delta,R,\sigma)\le H\le
N_{G(\Phi,R)}(E(\Phi,\Delta,R,\sigma))$.
