[GAP Forum] The other intersection

[Dima Pasechnik]

Dear John,
On Tue, Sep 22, 2020 at 10:33:51AM +0200, Motalane, John wrote:
> 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.

There is no L3(2) in L2(8):3.
L2(8):3 has a maximal subgroup of the same order, 168, but of the
structure 2^3:7:3.

Just in case,
Dima