Abstract
The symplectic group Sp(6, 2) has a 14−dimensional absolutely irreducible module over . Hence a split extension group of the form Ḡ = 214:Sp(6, 2) does exist. In this paper we first determine the conjugacy classes of Ḡ using the coset analysis technique. The structures of inertia factor groups were determined. The inertia factor groups are Sp(6, 2), (21+4 × 22):(S3 × S3), S3 × S6, PSL(2, 8), (((22 ×Q8):3):2):2, S3 ×A5,and 2×S4 ×S3.We then determine the Fischer matrices and apply the Clifford-Fischer theory to compute the ordinary character table of . The Fischer matrices of are all integer valued, with size ranging from 4 to 16. The full character table of is a 186 × 186 complex valued matrix.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
