Fischer Groups

Author

Eric W. Weisstein
November 15, 2010

This notebook downloaded from http://mathworld.wolfram.com/notebooks/GroupTheory/FischerGroups.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/FischerGroups.html.

©2010 Wolfram Research, Inc. except for portions noted otherwise

Order

m=Symbol/@Names["FischerGroup*"]

Grid[{
#,
Transitivity[#[]],
If[ListQ[PermutationSupport[#[]]],Length[PermutationSupport[#[]]],$Failed],
g=GroupOrder[#[]],
Times@@Superscript@@@FactorInteger[g]
}&/@m,Alignment->{{Left,Decimal,Decimal,Decimal,Left},Automatic},Dividers->All]//TraditionalForm