The rational and artin characters of the finite group D2m × CP when P is a prime number.

The character of a finite group whose values are in Z is called the rational valued and it's form basis for the group of integer valued generalized characters of G under the operation pointwise addition which is denoted R ¯ (G). The normal subgroup of R ¯ (G) , generated by Artin's characters addition which is denoted T(G).The main purpose problem of finding the general form of rational character and Artin's characters tables D2m×CΡ when Ρ is a prime number group has been considered in this search. [ABSTRACT FROM AUTHOR]