A [[Cayley Table]] in [[Group Theory]] is analogous to a multiplication table, where the cayley table is used to show the possible results of a [[Finite Group|Finite Group's]] ($G$) [[Operation|operation]] ($\circ$). >[!example] >The [[Cayley Table]] of the [[Additive Group]] of [[Integer|Integers]] [[Modulo]] $3$ >$ >\huge{ >\begin{array}{r|ccc} > & 0& 1 & 2\\ >\hline >0& 0 &1 & 2 \\ >1&1&2&0\\ >2&2&0&1\\ >\end{array} } >$