It is shown by group theory methods that the symmetry of (RE1Ba 2 Cu 3 O 7) m (RE2Ba 2 Cu 3 O 7) n superlattices grown along [1 0 0], [0 1 0] and [0 0 1] crystallographic directions is described by the same space group Pmmm ( D 2 h 1) as that of the initial bulk crystalline structure. The arrangement of atoms over Wyckoff positions in multiplied primitive cells of the superlattices is obtained for each of growth directions and all ( m, n) combinations. Symmetry classification of phonons at k = 0 is also carried out. Some features of phonon spectra of ultrathin superlattices are briefly discussed.