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A hyperbolic lattice is called \textit{$(1{,}2)$-reflective} if itsautomorphism group is generated by $1$- and $2$-reflections up to finite index.In this paper we prove that the fundamental polyhedron of a$\mathbb{Q}$-arithmetic cocompact reflection group in the three-dimensionalLobachevsky space contains an edge such that the distance between its framingfaces is small enough. Using this fact we obtain a classification of$(1{,}2)$-reflective anisotropic hyperbolic lattices of rank $4$.

Classification of $(1{,}2)$-reflective anisotropic hyperbolic lattices of rank $4$