[GAP Forum] Semidirect Product of C_2^3 and A_7

Benjamin Sambale benjamin.sambale at gmail.com
Sun Apr 7 10:51:36 BST 2019


Dear Mana,

by comparing orders of A_7 and Aut(C_2^3)=GL(3,2), the simple group A_7 
can only act trivially on C_2^3.
Hence, the group is just 
DirectProduct(ElementaryAbelianGroup(8),AlternatingGroup(7));

Is this really what you want?

Best,
Benjamin

Am 07.04.19 um 11:00 schrieb mana Tari:
> Dear Gap Forum,
>
> I'm trying to write a Gap-program for $C_{2}^3\rtimes A_{7}$.
> Please Help me. Thanks.
>
> Best regards,
> Mana
>
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