Fusion systems for Klein four-group

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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.


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)