Set of orders of a finite group

Definition
Let $$G$$ be a finite group. Then, the set of orders of $$G$$ is the subset of $$\mathbb{N}_0$$ comprising those elements $$d$$ for which there is at least one element in $$G$$ of order $$d$$.

The set of orders of a finite group is closely related to its order statistics. More precisely the set of orders is that subset of the nonnegative integers for which the order statistics function takes positive values.