Consider $ D_{12}$ the dihedral group of order 12. This is the group of symmetries of the regular hexagon. Label the vertices of the hexagon clockwise as 1, 2, 3, 4, 5, 6. Let σ = (1 2 3 4 5 6) and τ = (2 6)(3 5). Regard $ D_{12}$ as the group $Read more