Dear Bill, Dear Forum, This should work reasonably quickly. Given a group G, try
m:=Filtered(MaximalSubgroupClassReps(G),x->IsTransitive(x,MovedPoints(G)));; List(m,TransitiveIdentification); If this does not work satisfactory, let me know which group it fails on. Best, Alexander (Hulpke) Mitto ab tabulariUM meum > On Nov 9, 2019, at 16:18, Bill Allombert <bill.allomb...@math.u-bordeaux.fr> > wrote: > > Dear GAP forum, > > I need to compute the maximal transitive subgroups of a transitive > group (grouped by conjugacy classes). > > For example for S4, I should get A4 and two conjugate copies of D4. > > I managed to do the computation for all transitive groups of degree > <=13, but for 14 it become quite slow. > > Are there good algorithms to solve this problem ? > > Thanks in advance for your help! > Bill. > > _______________________________________________ > Forum mailing list > Forum@gap-system.org > https://mail.gap-system.org/mailman/listinfo/forum _______________________________________________ Forum mailing list Forum@gap-system.org https://mail.gap-system.org/mailman/listinfo/forum
