Symmetrized nth powers of space group representations

The paper outlines the way in which the constructive method obtained for symmetrizing nth Kronecker powers of induced representations (see ibid., vol. 6, no. 12, 1807 (1973)) may be applied to space group representations. Also a step by step procedure is given for finding the symmetrized cubes of space group representations, with zinc-blende as an example, which may be used independently of the general theory.