Element structure of cyclic group:Z3

This article gives specific information, namely, element structure, about a particular group, namely: cyclic group:Z3.
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This article describes the structure of elements of the cyclic group:Z3, which is given by the following presentation:

$\langle g\mid g^{3}=e\rangle$

Here, $e$ denotes the identity element. The elements are $e$, $g$ and $g^{2}$.

Summary

Item	Value
order of the whole group (total number of elements)	3
conjugacy class sizes	1,1,1 maximum: 1, number of conjugacy classes: 3, lcm: 1
order statistics	1 of order 1, 2 of order 3 maximum: 3, lcm (exponent of the whole group): 3