Tetrahedral symmetry

Tetrahedral symmetry, also known as tettic symmetry and notated A3, is a 3D spherical Coxeter group. It is the symmetry group of the regular tetrahedron.

Subgroups

 * Chiral tetrahedral symmetry (maximal)
 * Triangular pyramidal symmetry (maximal)
 * Chiral triangular pyramidal symmetry
 * Digonal antiprismatic symmetry (maximal)
 * Prodigonal antiprismatic symmetry
 * Chiral digonal prismatic symmetry
 * Rectangular pyramidal symmetry
 * Chiral digonal pyramidal symmetry
 * Reflection symmetry
 * Identity symmetry

Convex polytopes with A3 symmetry

 * Tetrahedron (regular)
 * Tetratetrahedron (isogonal)/Rhombic hexahedron (isotopic)
 * Truncated tetrahedron (isogonal)/Triakis tetrahedron (isotopic)
 * Rhombitetratetrahedron (isogonal)/Deltoidal dodecahedron (isotopic)
 * Great rhombitetratetrahedron (isogonal)/Disdyakis hexahedron (isotopic)