# Pyritoicositetrachoric symmetry

**Pyritoicositetrachoric symmetry**, also known as **icopyritic symmetry** and notated as **F _{4}/2**, is a 4D spherical symmetry group. It is the symmetry group of the snub disicositetrachoron.

Pyritoicositetrachoric symmetry | |
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Rank | 4 |

Space | Spherical |

Order | 576 |

### Subgroups edit

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### Convex polytopes with F_{4}/2 symmetry
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- Icositetrachoron (regular)
- Rectified icositetrachoron (isogonal)/Joined icositetrachoron (isotopic)
- Snub disicositetrachoron (isogonal)/Quatro-icositetradiminished hexacosichoron (isotopic)
- Icositetricositetrachoron (isogonal)/Disphenoidal diacosioctacontoctachoron (isotopic)
- Small rhombated icositetrachoron (isogonal)/Notched diacosioctacontoctachoron (isotopic)
- Great rhombated icositetrachoron (isogonal)/Sphenoidal pentacosiheptacontahexachoron (isotopic)
- Small disprismatoicositetricositetrachoron (isogonal)/Square-antitegmatic hecatontetracontatetrachoron (isotopic)
- Prismatorhombisnub icositetrachoron (isogonal)/Dipentanotched diacosioctacontoctachoron (isotopic)
- Runcicantic snub icositetrachoron (isogonal)/Deltopyramidal pentacosiheptacontahexachoron (isotopic)