  In this paper, for n a positve integer, we compute the number of n degree
representations for a dihedral group G of order 2m, m \geq 3 and the dimensions
of the corresponding spaces of G invariant bilinear forms over a complex field
C. We explicitly discuss about the existence of a non-degenerate invariant
bilinear form. The results are important due to their applications in the
studies of physical sciences.
