Sorry to those of you who get this twice. I accidentally sent it to the
group pub forum first.
I'm trying to get the maximal subgroups for O(7,3) and having some
trouble. ATLAS 3.0 does not have them listed, but ATLAS 2.0 does have
the shape and there are 7 permutation representations that can be called
up by atlasrep. For each of those seven, I did the following with G set
as the smallest permrep
H:=Group(AtlasGenerators("O7(3)",i).generators);
iso:=IsomorphismGroups(H,G);
S:=Stabilizer(H,1);
Then I simply ran Image(iso,S) to get the maximals corresponding to the
primitive permreps. However for the two classes of G2(3), this yields
conjugate maximal subgroups.
In addition, I also tried to take random elements of order 2 and 3 and
try to generate a G2(3), and while I was able to create many of them,
none of them were out of this one conjugacy class.
Am I missing something here? I don't think there is a mistake anywhere,
as G2(3) is listed as having two classes in Kleidman's tables.
Thanks
Joe
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