D6={e, a, a^2, a^3, a^4, a^4, a^5, b, ab, a^2b, a^3b, a^4b, a^5b}

where a^6=b^2=e abd ba^i for all i in Z. Now I need to show whether D6 is isomorphic to G:

Here are G:

G= Z2 X Z2

G=Z4

if they are isomorphic I need to list the elements if they are not I need to prove that no such subgroups exists.

so here it goes:

G= Z2 X Z2= {e, a, a^2, b, ab, a^2b}// is this the right list because if it is it's isomorphic to D6. I'm not sure about this but I know that G= Z2 X Z2 is isomorphic to Z8.