Digonal prismatic symmetry

Digonal prismatic symmetry, also known as brick symmetry or cuboidal symmetry and notated as K3, is a 3D spherical Coxeter group. It is the symmetry group of the cuboid or rectangular box, and appears as a subgroup of octahedral and icosahedral symmetries.

Subgroups

 * K3+ (maximal)
 * K2×I (maximal)
 * K2+×A1 (maximal)
 * K2+×I
 * ±(I×I×I)
 * A1×I×I
 * I×I×I

Convex polytopes with K3 symmetry

 * Cuboid (isogonal)/Rhombic tegum (isotopic)