Abstract
In our paper [A. B. M. Basheer and J. Moori, On a group of the form 2(10) :(U-5(2):2)1 we calculated the inertia factors, Fischer matrices and the ordinary character table of the split extension 21 :(U5(2):2) by means of Clifford-Fischer Theory. The second inertia factor group of 2(10) :(U-5(2):2) is a group of the form 2_(1+6):((3(1+2):8):2). The purpose of this paper is the determination of the conjugacy classes of G using the coset analysis method, the determination of the inertia factors, the computations of the Fischer matrices and the ordinary character table of the split extension (G) over bar = 2_(1+6:)((3(1+2):8):2) by means of Clifford-Fischer Theory. Through various theoretical and computational aspects we were able to determine the structures of the inertia factor groups. These are the groups H-1 = H-2 = (3(1+2):8):2, H-3 = QD(16) and H-4 = D-12. The Fischer matrices F-i of (G) over bar, which are complex valued matrices, are all listed in this paper and their sizes range between 2 and 5. The full character table of (G) over bar, which is 41 x 41 complex valued matrix, is available in the PhD thesis of the first author, which could be accessed online.