Artin's characters table of the group (Q2m×D3) and AC(Q2m×D3) when m is a prime number

Abstract

The main purpose of this paper is to find Artin's characters table of the group (Q2m×D3)when m is a prime number, which is denoted by Ar(Q2m×D3) where Q2m is denoted to Quaternion group and D3 is the Dihedral group of order 6 .Moreover we have found the cyclic decomposition of Artin's cokernel AC(Q2m×D3) when m is a prime number .