Fischer Group - Notation

Notation

There is no uniformly accepted notation for these groups. Some authors use F in place of Fi (F₂₂, for example). Fischer's notation for the them was M(22), M(23) and M(24)', which emphasised their close relationship with the three largest Mathieu groups, M₂₂, M₂₃ and M₂₄.

One particular source of confusion is that Fi₂₄ is sometimes used to refer to the simple group Fi₂₄', and is sometimes used to refer to the full 3-transposition group (which is twice the size).