Triangular pyramidal symmetry

Triangular pyramidal symmetry
Rank	3
Space	Spherical
Order	6

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

Subgroups

• Chiral triangular pyramidal symmetry (maximal)
• Reflection symmetry (maximal)
• Identity symmetry