Hexagonal symmetry

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

Subgroups

 * G2+ (maximal)
 * A2 (maximal)
 * A2+
 * K2 (maximal)
 * K2+
 * A1×I
 * I×I

Convex polytopes with G2 symmetry

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