[GAP Forum] ConjugacyClasses function question

[Linda Cupples]

Hey,

I've been trying to find a way to determine the elements in each of the
conjugacy classes that is given by gap,

My code is pretty much,

F:=FreeGroup("a","b");
<free group on the generators [ a, b ]>
a:=F.1;;b:=F.2;;
G:=F/[a^4,b^4,(a*b)^2,(a^3*b)^2];

ConjugacyClasses(G);
[ <identity ...>^G, a^G, b^G, a^2*b^2^G, a^2^G, a*b^G, a^3^G, a^2*b^G,
b^2^G, a^3*b^G ]

List(ConjugacyClasses(G), Size);
[ 1, 2, 2, 1, 1, 2, 2, 2, 1, 2 ]


Is it possible to retrive the actual elements in each of the conjugacy
classes of size 2? Instead of the output "a^G", a and its conjugate?

Thanks in advance

Linda