Group(Non-abelian) Multiplication Table @BrianM.Scott I came up with this:
$$\begin{array}{ l | c r r r r r }
* & e & a & b & c & d &f \\
\hline
e & e & a & b & c & d & f \\
a & a & b & e & d&f&c \\
b&b&e&a&f&c&d\\
c&c&f&d&e&b&a\\
d&d&c&f&a&e&b\\
f&f&d&c&b&a&e\\
\end{array}$$ is this correct?