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Suppose $G$ is a connected complex Lie group and $\Gamma$ is a discretesubgroup such that $X := G/\Gamma$ is K\"ahler and the codimension of the topnon--vanishing homology group of $X$ with coefficients in $\mathbb Z_2$ is lessthan or equal to two. We show that $G$ is solvable and a finite covering of $X$is biholomorphic to a product $C\times A$, where $C$ is a Cousin group and $A$is $\{e \}$, $\mathbb C$, $\mathbb C^*$, or $\mathbb C^*\times\mathbb C^*$.

A classification of homogeneous K\"{a}hler manifolds with discrete isotropy and top nonvanishing homology in codimension two