International Journal of Engineering and Information Systems (IJEAIS)   Year: 2020 | Volume: 4 | Issue: 8 | Page No.: 297-309 On Artin's characters table of the group (Q2mC2) when m=2h , h ? Z+ Rajaa Hasan Abbas Abstract: The main objective of this paper is to find the general form of Artin's characters table of the group (Q2m C2 ) When m=2h ,h Z+ where Q2m is the Quaternion group of order 4m and C2 is the Cyclic group of order 2 this table depends on Artin's characters table of a quaternion group of order 4m when m=2h , h?Z+. which is denoted by Ar(Q2h+1C2 ).