[GAP Forum] subgroups of GL(3,7)

[Asst. Prof. Dmitrii (Dima) Pasechnik]

Dear Alex,

As stated, your problem is pretty hopeless --- the group is too big to
do this by brute force.
You have to "help" GAP -- the maximal subgroups of GL(3,q) were determined by
Dickson, so you can generate the maximal subgroups "by hand".
And then consider each one in turn...

HTH,
Dima

2010/3/26 Alex Trofimuk <trof1984 at rambler.ru>:
>
>
>
> -- Dear Gap forum,
>  Alex Trofimuk asked:
>
> How to compute all subgroups of GL(3,7) and GL(3,11)?
>
> I write the following commands:
> G:=GL(3,7);
> GL(3,7)
> gap> imG:=Image(IsomorphismPermGroup(G));;
> gap> c:=ConjugacyClassesSubgroups(imG);;
>
> and GAP says:
>
> exceeded the permitted memory (`-o' command line option) at
> sorted := ShallowCopy( list );
>  called from
> Collected( StructuralCopy( types ) ) called from
> rbase.nextLevel( rbase.partition, rbase ); called from
> PBEnumerate( 1, not repr ) called from
> PartitionBacktrack( G, Pr, false, rbase, data, L, L ) called from
> oper( Parent( D ), D ) called from …..
>
> Alex Trofimuk.
>
> --
> Скачай новую ICQ 7.0 http://icq.rambler.ru/
>
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--
Dmitrii Pasechnik
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