The infrared spectra of uncoupled CH4, CHD3 and CD4 molecules are shown to be consistent with T or T-d site symmetry in phase II of crystalline CH4 and CD4. In phase III of CD4 the site symmetry is low; it does not contain any threefold or higher axis of symmetry. Acceptable sites groups are D-2, C-2v, C-2, C-S and C-1.