the fischer-clifford matrices of the inertia group $2^7{:}o^{-}_{6}(2)$ of a maximal subgroup $2^7{:}sp_6(2)$ in $sp_8(2)$
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abstract
the subgroups of symplectic groups which fix a non-zero vector of the underlying symplectic space are called affine subgroups., the split extension group $a(4)cong 2^7{:}sp_6(2)$ is the affine subgroup of the symplectic group $sp_8(2)$ of index $255$. in this paper, we use the technique of the fischer-clifford matrices to construct the character table of the inertia group $2^7{:}o^{-}_{6}(2)$ of $a(4)$ of index $28$.
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Journal title:
international journal of group theoryجلد ۲، شماره ۳، صفحات ۱۹-۳۸
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