# Triangular pyramidal symmetry

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Triangular pyramidal symmetry | |
---|---|

Rank | 3 |

Space | Spherical |

Order | 6 |

**Triangular pyramidal symmetry**, also known as **trippyric symmetry** and notated as **A _{2}×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[edit | edit source]

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