Isoscalar factors for anti-unitary point groups

Some peculiarities of the isoscalar factors for the corepresentations of the anti-unitary point groups are discussed. Isoscalar factors for all magnetic point groups, considered as subgroups of O(3) ⊗ Θ, the full rotation group supplemented with time reversal, are computed and tabulated using a FORTRAN IV program. The tables can be applied in crystal-field theory and in the spectroscopy of magnetic crystals.