Constructing Isomorphisms for D4 and A4

[PhysicsHelp12]

Construct an isomorphism

A4 (AND) D4 ---> (Z/2,+)X(Z/2,+)

where D4's the symmetries of the square

so I found D4(And)A4={(13)(24),Id,(12)(34),(14)(23)}

 

[HallsofIvy]

Then you are trying too hard! Map the identity to the identity of (Z/2,+)x(Z/2,+), (0,0). Then map (13)(24), (12)(34), (14)(23) to (0,1), (1,0), (1,1) any way you like. You will get an isomorphism.