The phase diagram in the vicinity of the Fréedericksz transition from the uniform to the deformed homogeneous or periodic states of a nematic slab under a magnetic field with rigid boundary conditions was qualitatively calculated in the mean-field approximation for intermediate geometries between the splay and twist Fréedericksz transition geometries. It was found that the multicritical point where the uniform state, the homogeneous deformed, and the periodic deformed states meet is of the Lifshitz type only for a limited range of the Frank elastic constants ratio K 2 /K 1 . ͓S1063-651X͑98͒09507-5͔PACS number͑s͒: 61.30.Gd, 64.70.Md