Direct product of Z8 and Z2

Definition
This group, denoted $$\mathbb{Z}_8 \times \mathbb{Z}_2$$ or $$C_8 \times C_2$$, can be defined in the following equivalent ways:


 * It is the external direct product of the cyclic group of order eight (denoted $$C_8$$ or $$\mathbb{Z}_8$$) and the cyclic group of order two (denoted $$C_2$$ or $$\mathbb{Z}_2$$).
 * It is the unique abelian group (up to isomorphism) of order sixteen and exponent eight.

Other descriptions
It can also be defined using GAP's DirectProduct function:

DirectProduct(CyclicGroup(8),CyclicGroup(2));