The following calculations seem to distinguish between them.
> #LowIndexSubgroups(GA,4);
30
> #LowIndexSubgroups(GB,4);
26
They have different numbers of homomorphisms onto $A_4$:
> #Homomorphisms(GA,Alt(4),Sym(4));
5
> #Homomorphisms(GB,Alt(4),Sym(4));
1
(The options third argument $\mathsf{Sym(4)}$ means count (surjective homomorphisms) up to conjugacy in $\mathsf{Sym(4)}$.)