  In the present paper we prove a weak form of sandwich classification for the
overgroups of the subsystem subgroup $E(\Delta,R)$ of the Chevalley group
$G(\Phi,R)$ where $\Phi$ is a simply laced root sysetem and $\Delta$ is its
sufficiently large subsystem. Namely we show that for any such an overgroup $H$
there exists a unique net of ideals $\sigma$ of the ring $R$ such that
$E(\Phi,\Delta,R,\sigma)\le H\le
{\mathop{\mathrm{Stab}}\nolimits}_{G(\Phi,R)}(L(\sigma))$ where
$E(\Phi,\Delta,R,\sigma)$ is an elementary subgroup associated with the net and
$L(\sigma)$ is a corresponding subalgebra of the Chevalley Lie algebra.
