Symmetry Group of Isosceles Triangle/Cayley Table

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Cayley Table of Symmetry Group of Isosceles Triangle

The Cayley table of the symmetry group of the isosceles triangle can be written:

$\begin{array}{c|cccccc} & e & d \\ \hline e & e & d \\ d & d & e \\ \end{array}$


$e$ is the identity mapping
$d$ is the reflection $d$ in the line through $A$ and the midpoint of $BC$.