# Prodigonal prismatic symmetry

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Prodigonal prismatic symmetry | |
---|---|

Rank | 3 |

Space | Spherical |

Order | 4 |

**Prodigonal prismatic symmetry**, also known as **espic symmetry** and notated as **K _{2}+×A_{1}**, is a 3D spherical symmetry group. It is the symmetry group of the parallelogramic prism and has both central inversion symmetry and mirror symmetry. It can be thought of as the digonal member of the infinite family of prismatic symmetries based on the chiral polygonal symmetries. The prism of a 2D object with only central inversion symmetry will have this as its symmetry group.

### Subgroups[edit | edit source]

- Chiral digonal pyramidal symmetry (maximal)
- Inversion symmetry maximal)
- Reflection symmetry (maximal)
- Identity symmetry