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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 theelementary subgroup $E_P(\Phi,K)$ over a subring $K$ of $R$. Recently A. Bakand A. Stepanov considered the symplectic case (i. e. the case of simplyconnected group of type $\Phi=C_l$) in characteristic 2. In this article weextend 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 algebraicextension $R$ of a nonperfect field $K$ of bad characteristic, we use in thedescription a special kind of carpet subgroups. In the second half of thearticle we study Bruhat and Gauss decompositions for these carpet subgroups.

Subgroups of Chevalley groups of types $B_l$ and $C_l$ containing the group over a subring and corresponding carpets