Cyclic group:Z8

Definition
The cyclic group of order eight, denoted $$C_8$$, $$\mathbb{Z}_8$$, or $$\mathbb{Z}/8\mathbb{Z}$$, is defined as the cyclic group of order eight, i.e., it is the quotient of the group of integers $$\mathbb{Z}$$ by the subgroup $$8\mathbb{Z}$$ of multiples of eight.

Other descriptions
The group can be described using GAP's CyclicGroup function:

CyclicGroup(8)