الخلاصة

The group of all Z-valued characters of afinite group G over the group of induced unit characters from all cyclic subgroups of G forms a finite a belian group, called Artin Cokernel of G ,denoted by AC(G).The problem of finding the cyclic decomposition of Artin cokernel AC(D2nh)has been considered in this paper, , the cyclic decomposition of AC(D2nh) is : AC(D2nh) =+ C2 . And we give the general form of Artin's characters table Ar(D2nh).