Hexagonal symmetry

Hexagonal symmetry, also known as higgic symmetry and notated as G2, is a 2D spherical Coxeter group. It is the symmetry group of the hexagon, with 6 rotation and 6 reflection elements.

Subgroups

 * Chiral hexagonal symmetry (maximal)
 * Triangular symmetry (maximal)
 * Chiral triangular symmetry
 * Rectangular symmetry (maximal)
 * Inversion symmetry
 * Reflection symmetry
 * Identity symmetry

Convex polytopes with G2 symmetry

 * Hexagon (regular)
 * Dihexagon (isogonal)/Hexambus (isotopic)