Direct product of Z27 and Z9

Definition
This group is defined as the external direct product of the cyclic group of order 27 and the cyclic group of order 9. It is thus the abelian group for the prime $$p = 3$$ corresponding to the partition $$5 = 3 + 2$$.

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

DirectProduct(CyclicGroup(27),CyclicGroup(9))