I'm trying to do something with conjugacy classes in AgGroups. This is
in 3.1. I still don't have 3.2 (wustl seems to be VERY busy). If this
is fixed in 3.2, please let me know. Here is a very simple example.

gap> g:=TwoGroup(8,4);;
gap> ConjugacyClasses(g);;
gap> t:=ConjugacyClass(g,g.3);
ConjugacyClass( Group( a1, a2, a3 ), a3 )
gap> g.conjugacyClasses[2];
ConjugacyClass( Group( a1, a2, a3 ), a3 )
gap> t = g.conjugacyClasses[2];
false
gap> Position(g.conjugacyClasses,t);
false
gap>

The point is that it doesn't recognize that the two classes are the
same, nor does it even recognize that the class generated by
ConjugacyClass is a class (in the list g.conjugacyClasses) at all.