Direct product of Z9 and E27

Definition
The group is defined in the following equivalent ways:


 * 1) It is the external direct product of the cyclic group of order 9 and the elementary abelian group of order 27, i.e., $$\Z_9 \times E_{27}$$.
 * 2) it is the external direct product of one copy of the cyclic group of order 9 and three copies of the cyclic group of order 3.