In this paper, we obtain the dimensions of symmetry classes of polynomials associated with
the irreducible characters of the dihedral group as a subgroup of
the full symmetric group. Then we discuss the existence of o-basis
of these classes.
In this paper we will give the character table of the irreducible rational representations of G=SL (2, q) where q= , p prime, n>O, by using the character table and the Schur indices of SL(2,q).