Direct product of Z8 and Z4 and Z2

Definition
This group can be defined in the following equivalent ways:


 * 1) It is the external direct product of defining ingredient::cyclic group:Z8, defining ingredient::cyclic group:Z4, and defining ingredient::cyclic group:Z2.
 * 2) It is the external direct product of defining ingredient::direct product of Z8 and Z4 and cyclic group:Z2.
 * 3) It is the external direct product of defining ingredient::direct product of Z8 and Z2 and cyclic group:Z4.
 * 4) It is the external direct product of defining ingredient::direct product of Z4 and Z2 and cyclic group:Z8.

As an abelian group of prime power order
This group is the abelian group of prime power order corresponding to the partition:

$$\! 6 = 3 + 2 + 1 $$

In other words, it is the group $$\mathbb{Z}_{p^3} \times \mathbb{Z}_{p^2} \times \Z_p$$.