International Journal of Engineering and Information Systems (IJEAIS)   Year: 2021 | Volume: 5 | Issue: 8 | Page No.: 31-34 The Rational Characters table of the group (Q2mC3) When m= ,h,r ? Z+ and p is prime Number Rajaa Hasan Abbas Abstract: The main purpose of this paper is to find the general form of the rational valued characters table (Q2m×C3) When m= ,h,r ? Z+ and p is prime Number where Q2m is the Quaternion group of order 4m and C3 is the Cyclic group of order3 this table depends on Artin's characters table of a quaternion group of order 4m when m=. which is denoted by (Q2m×C3).