I would like to design two Cayley tables as given in the image below. Till now I am only able to do this much see the code
\begin{table}[]
\begin{tabular}{llll}
* & a & b & c \\
& c & a & b \\
& a & b & c \\
& b & c & a
\end{tabular}
\end{table}
Question : How to make the diagrams given in image?
