Symmetry Group of Isosceles Triangle/Cayley Table

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}$

where:

$e$ is the identity mapping

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