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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}

enter image description here

Question : How to make the diagrams given in image?

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