Abstract:
: The goal of this paper is to find the rational valued characters table of the group(Q2n×D4) when n is an odd number, which is denoted by =*(Q2n×D4), where Q2n is denoted to Quaternion group of order 4n, such that for each positive integer n, there are two generators a and b for Q2n satisfies Q2n={ah bk, 0=h=2n-1, k=0,1}which has the following pronerties{a2n=y4=I, banb-1=a-n} and D4 is the Dihedral group of order 8 is generate by a rotation t of order 4 and reflection f of order 2 then 8 elements of D4 can be written as: {I*,t,t2, t3,f,ft,ft2,ft3}.
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