On Artin Cokernel of The Group Q2m×D3 when m is an Odd Number

The main purpose of this book is to find Artin's character table Ar(Q2m× D3) when m is an odd number and finding the cyclic decomposition of Artin cokernel AC(Q2m× D3) when m is an odd number. We found that if m = p_1^(α_1 ). p_2^(α_2 ). … . p_n^(α_n ) where p_1, p_2,…, p_n are distinct primes numbers and α_1, α_2,…, α_n are positive integers and p_i ≠ 2 for all 1≤ i≤ n then:AC (Q2m × D3) = ■ (2(α_1 + 1)(α_2 + 1)…(α_n + 1)­2@ ⊕ C_4@i = 1) + ■ (4(α_1 + 1)(α_2 + 1)…(α_n + 1)­1@ ⊕ C_2@i = 1)