[GAP Forum] The other intersection

[Derek Holt]

Dear John

If you find the maximal subgroups M1 and M2 in G = Sp(6,2) as described in your
question and then do

gap> while true do g:=Random(G);
> if Size(Intersection(M1,M2^g)) <> 12 then break; fi;
> od;
gap >

you will find the other intersection quickly.

Best wishes,
Derek Holt

	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
> 
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