The Rational valued characters of the Group ( Q2m × C5 ) When m is prime number

Abstract

The main purpose of this paper is to find the rational valued characters table of the group ( Q2m × C5 ) , When m is prime number , where Q2m is denoted to Quaternion group , and C5 is the cyclic group of order 5 .In this paper .we find the general form of t the rational valued characters table of the group ( Q2m × C5 ) is the tensor product of the rational valued characters of Q2m and C5