Triangular pyramidal symmetry

A2×I, also known as trippyric symmetry or triangular pyramidal symmetry, is a 3D spherical Coxeter group. It is the symmetry group of the triangular pyramid and occurs as a subgroup in all of tetrahedral, octahedral, and icosahedral symmetry.

Subgroups

 * A2+×I
 * A1×I×I
 * I×I×I