Chiral tetrahedral symmetry

A3+, also known as kitettic symmetry or chiral tetrahedral symmetry, is a 3D spherical Coxeter group. It is the symmetry group of the tetrahedron with all the reflections removed.

Subgroups

 * A2+×I (maximal)
 * K3+ (maximal)
 * K2+×I
 * I×I×I

Convex polytopes with A3+ symmetry

 * Tetrahedron (regular)
 * Tetratetrahedron (isogonal)/Rhombic hexahedron (isotopic)
 * Truncated tetrahedron (isogonal)/Triakis tetrahedron (isotopic)
 * Rhombitetratetrahedron (isogonal)/Deltoidal dodecahedron (isotopic)
 * Snub tetrahedron (isogonal)/Tetartoid (isotopic)