# Math Help - Z2 + Z2 + Z3 isomorphisms

1. ## Z2 + Z2 + Z3 isomorphisms

Is (Z2 + Z2) + Z3 (the external direct product) isomorphic to Z12?
thanks!

2. Originally Posted by morganfor
Is (Z2 + Z2) + Z3 (the external direct product) isomorphic to Z12?
thanks!
The group Z2 + Z2 + Z3 is not cyclic, all elements have order dividing 6.