Direct product of M27 and Z3

Definition
This group is defined as the direct product of the semidirect product of Z9 and Z3 (the unique non-abelian group of order $$27$$ and exponent $$9$$) and the cyclic group of order three.

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

DirectProduct(SmallGroup(27,4),CyclicGroup(3))