الخلاصة

The group of all Z-valued characters of a finite 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 has been considered in this paper ,the cyclic decomposition of D2n x C3 is : AC( D2n x C3 )=+1-2n(C2) Also we give the general form of rational character and Artin's characters tables of group D2n x C3