On Artin's Character Table and Artin's Cokernel of the Group(Q2m×C4) When m=2h,h∈Z+

Abstract

The main purpose of this paper is to find Artin's characters table of the group (Q2m×C4)when m=2h, h∈Z+, which is denoted by Ar(Q2m ×C4) where Q2m is denoted to Quaternion group and C4 is the cyclic group of order 4 .Moreover we have found The rational valued characters table and the cyclic decomposition of Artin's cokernel AC(Q2m ×C4) when m=2h, h∈Z+.