One of the Cayley graphs of the dihedral group Dih₄

The orange arrow represents permutation ${\displaystyle p={\mathit {10}}}$, and the green edge represents permutation ${\displaystyle t={\mathit {2}}}$.

The orange arrow from ${\displaystyle {\mathit {21}}}$ to ${\displaystyle {\mathit {16}}}$ means ${\displaystyle {\mathit {21}}\cdot p={\mathit {21}}\cdot {\mathit {10}}={\mathit {16}}}$.

The green edge between ${\displaystyle {\mathit {21}}}$ and ${\displaystyle {\mathit {23}}}$ means that ${\displaystyle {\mathit {21}}\cdot t={\mathit {21}}\cdot {\mathit {2}}={\mathit {23}}}$ and ${\displaystyle {\mathit {23}}\cdot t={\mathit {23}}\cdot {\mathit {2}}={\mathit {21}}}$.

There is also: left action last ⋅ first

This is: right action first ⋅ last