[GAP Forum] The function DirectProduct

[Luyện Lê Văn]

Dear forum,

When I ran the below code lines:
gap >S:=SymmetricGroup(3);;
gap >G:=DirectProduct(S);;
gap >G=S;
        true

gap >C:=CyclicGroup(3);;
gap >G:=DirectProduct(C);;
gap >G=C;
        false

I realized that there was a difference when I used SymmetricGroup and
CyclicGroup. Could you explain it?

Thanks,

Luyen.