The Fischer groups are the three sporadic groups , , and . These groups were discovered during the investigation of 3-transposition groups.
The Fischer groups are implemented in the Wolfram Language as FischerGroupFi22[], FischerGroupFi23[], and FischerGroupFi24Prime[].
The following table summarizes the orders of the Fischer groups.
group | order | factorization |
64561751654400 | ||
4089470473293004800 | ||
1255205709190661721292800 |
The baby monster group is sometimes called Fischer's baby monster group.