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Nov 27, 2015 at 10:46 comment added Derek Holt In GAP, the group is $\mathtt{TransitiveGroup}(24,9958)$.
Nov 27, 2015 at 10:16 comment added Derek Holt Sorry, I don't have access to the paper by Kegel either! I read a description of the group somewhere and constructed it on the computer. It is constructed as a nonsplit extension of an elementary abelian group $N$ of order $2^4$ by $S_4 \times S_4$, and it turns out that $N=\Phi(G)$,
Nov 27, 2015 at 9:22 comment added Soroush i don't understand $ G $ has the structure and $ G/\Phi(G) \cong S_{4} \times S_{4} $ .
Nov 27, 2015 at 8:54 comment added Derek Holt @Soroush Help you with what? If you ask a specific question then I will try and answer it!
Nov 27, 2015 at 7:23 comment added Soroush I don't have access to this article, can you help me?
Nov 10, 2015 at 11:11 history answered Derek Holt CC BY-SA 3.0