On the Fischer-Clifford matrices of the non-split extension $2^6{{}^{\cdot}}G_2(2)$

Document Type : Research Paper


Department of‎ ‎Mathematics‎, ‎Faculty of Military Science‎, ‎University‎ ‎of Stellenbosch‎, ‎Private Bag X2‎, ‎Saldanha‎, ‎7395‎, ‎South Africa


The group $2^6{{}^{cdot}} G_2(2)$ is a maximal subgroup of the Rudvalis group $Ru$ of index 188500 and has order 774144 = $2^{12}.3^3.7$. In this paper, we construct the character table of the group $2^6{{}^{cdot}} G_2(2)$ by using the technique of Fischer-Clifford matrices.


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