# Pentagonal pyramidal symmetry

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Pentagonal pyramidal symmetry | |
---|---|

Rank | 3 |

Space | Spherical |

Order | 10 |

**Pentagonal pyramidal symmetry**, also known as **peppyric symmetry** and notated as **H _{2}×I**, is a 3D spherical symmetry group. It is the symmetry group of the pentagonal pyramid and occurs as a subgroup of icosahedral symmetry.

### Subgroups[edit | edit source]

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