Symmetric Group on 3 Letters/Cayley Table

Cayley Table of Symmetric Group on 3 Letters
The Cayley table of the symmetric group of $3$ letters can be written:
 * $\begin{array}{c|cccccc}

& e & (ABC) & (ACB) & (BC) & (AC) & (AB) \\ \hline e & e & (ABC) & (ACB) & (BC) & (AC) & (AB) \\ (ABC) & (ABC) & (ACB) & e & (AC) & (AB) & (BC) \\ (ACB) & (ACB) & e & (ABC) & (AB) & (BC) & (AC) \\ (BC) & (BC) & (AB) & (AC) & e & (ACB) & (ABC) \\ (AC) & (AC) & (BC) & (AB) & (ABC) & e & (ACB) \\ (AB) & (AB) & (AC) & (BC) & (ACB) & (ABC) & e \\ \end{array}$