Irreducible Representations of Some Point Groups Which Are Isomorphic to Some Dihedral Groups

Let G be a finite group and M a vector space over K. A representation of G with representation space M is a homomorphism of G into GL(M), where GL(M) denotes the group of all invertible linear transformations of a vector space M onto itself. Furthermore, any representation of G is irreducible if the only subrepresentations of G are {0} and G. A point group is a group of symmetry operations all of which leave at least one point unmoved. There are some point groups which are isomorphic to dihedral groups. In this paper, the irreducible representations of some point groups which are isomorphic to some dihedral groups are given.