Direct product of Z9 and E9

Definition
This group is defined as the direct product of the cyclic group of order 9 and elementary abelian group of order 9. Equivalently, it is the direct product of the cyclic group of order $$9$$ and two copies of the cyclic group of order 3.

Other descriptions
The group can be described using GAP's DirectProduct, CyclicGroup and ElementaryAbelianGroup functions:

DirectProduct(CyclicGroup(9),ElementaryAbelianGroup(9))

Alternatively:

DirectProduct(CyclicGroup(9),CyclicGroup(3),CyclicGroup(3))