Dear forum
gap> A5:=AlternatingGroup(5);;
gap> g:=DirectProduct(A5,A5,A5);
Group([ (1,2,3,4,5), (3,4,5), (6,7,8,9,10), (8,9,10), (11,12,13,14,15),
(13,14,15) ])
gap> Size(g);
216000
gap> S:=Socle(g);
Error, no method found! For debugging hints type ?Recovery from
NoMethodFound
Error, no 4th choice method found for `Socle' on 1 arguments called from
<function>( <arguments> ) called from read-eval-loop
Entering break read-eval-print loop ...
you can 'quit;' to quit to outer loop, or
you can 'return;' to continue
What happened?
Best wishes
Kurt Ewald