  We continue study of subgroups of a Chevalley group $G_P(\Phi,R)$ over a ring
$R$ with a root system $\Phi$ and a weight lattice $P$, containing the
elementary subgroup $E_P(\Phi,K)$ over a subring $K$ of $R$. Recently A. Bak
and A. Stepanov considered the symplectic case (i. e. the case of simply
connected group of type $\Phi=C_l$) in characteristic 2. In this article we
extend their result for groups with arbitrary weight lattice of types $B_l$ and
$C_l$. Similarly to the work of Nuzhin that handles the case of an algebraic
extension $R$ of a nonperfect field $K$ of bad characteristic, we use in the
description a special kind of carpet subgroups. In the second half of the
article we study Bruhat and Gauss decompositions for these carpet subgroups.
