Thank you very much. On Tue, Sep 22, 2020 at 11:09 AM Thomas Breuer <s...@math.rwth-aachen.de> wrote:
> Dear GAP Forum, dear John, > > the group Sp(6,2) has maximal subgroups of the orders 2^6 * 168 and > 504 * 3; there is one class of each of these orders. > > gap> g:= SP( IsPermGroup, 6, 2 ); > Perm_Sp(6,2) > gap> mx:= MaximalSubgroupClassReps( g );; > gap> m1:= Filtered( mx, x -> Size(x) = 2^6 * 168 ); > [ <permutation group of size 10752 with 2 generators> ] > gap> m2:= Filtered( mx, x -> Size(x) = 504 * 3 ); > [ <permutation group of size 1512 with 2 generators> ] > > For possible intersections of members of these classes, > one can fix one representative, and consider conjugates of the other. > > gap> Size( Intersection( m1[1], m2[1] ) ); > 12 > gap> repeat inter:= Intersection( m1[1], m2[1]^Random(g) ); > > until Size( inter ) <> 12; > gap> Size( inter ); > 168 > > All the best, > Thomas > > > On Tue, Sep 22, 2020 at 10:33:51AM +0200, Motalane, John wrote: > > Dear All > > > > Hoping that you are all well. > > > > I am working on the Symplectic group Sp(6,2). > > > > I am having a problem to get the other intersection, for an example the > > intersection of the maximal subgroups 2^6:L3(2) and L2(8):3 is having two > > candidates which are A_4 and PSL(3,2). In GAP, I am able to get A_4 only. > > Please help me to get the other candidate using GAP. > > > > Thanks in advance > > > > Warm regards John > > -- --------------------------------------------------------------------------------------------------------------------------------------------------------------------- DISCLAIMER *** This message and any attachments are confidential and intended solely for the addressee. The following link will display the full disclaimer: http://www.ul.ac.za/disclaimer.jpg <http://www.ul.ac.za/disclaimer.jpg> *** -- ** ** **60 Years Anniversary Celebrations ** **For more information: **https://www.ul.ac.za/60 <https://www.ul.ac.za/60> _______________________________________________ Forum mailing list Forum@gap-system.org https://mail.gap-system.org/mailman/listinfo/forum
