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Let $(G,g)$ be a 4-dimensional Riemannian Lie group with a 2-dimensionalleft-invariant, conformal foliation $\F$ with minimal leaves. Let $J$ be analmost Hermitian structure on $G$ adapted to the foliation $\F$. We classifysuch structures $J$ which are almost K\"ahler $(\A\K)$, integrable $(\I)$ orK\"ahler $(\K)$. Hereby we construct several new multi-dimensional examples ineach class.

Natural almost Hermitian structures on conformally foliated 4-dimensional Lie groups with minimal leaves