Digonal prismatic symmetry

A1×A1×A1, also known as brick symmetry or digonal prismatic symmetry, 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

 * A1×A1×A1+
 * A1×A1×I
 * A1×A1+×A1
 * A1×A1+×I
 * A1×A1+×A1/2
 * A1×I×I
 * I×I×I

Convex polytopes with A1×A1×A1 symmetry

 * Cuboid (isogonal)/Rhombic tegum (isotopic)