# Fusion systems for Klein four-group

From Groupprops

## Contents |

This article gives specific information, namely, fusion system, about a particular group, namely: Klein four-group.

View fusion system of particular groups | View other specific information about Klein four-group

This article describes the various fusion systems for the Klein four-group.

## Summary

Item | Value |
---|---|

Total number of fusion systems on a concrete instance of the group (strict, not up to isomorphism of fusion systems) |
2 |

Total number of fusion systems up to isomorphism | 2 |

List of fusion systems with orbit sizes | inner fusion system (orbit size 1 under isomorphisms), non-inner fusion system for Klein four-group (orbit size 1 under isomorphisms) |

Number of simple fusion systems | 1 (the non-inner fusion system) |

Number of maximal fusion systems, i.e., fusion systems not contained in bigger fusion systems | 1 (the non-inner fusion system) |