Does anyone have a link to a website having the character table of the Griess Monster in characteristic $0$?

  • 1
    $\begingroup$ You can browse it in GAP using Browse(CharacterTable("M")); $\endgroup$ Feb 12, 2014 at 19:15
  • 2
    $\begingroup$ The printed version in the ATLAS is 8 (very large) pages long, not including the explanatory text. $\endgroup$ Feb 12, 2014 at 19:18
  • $\begingroup$ Sorry, I probably should extrapolate a tiny bit, I need to do calculations with it involving the entries for elements of order 2, hence only need the character degrees and the values for 2A and 2B, but don't really want to enter these manually from the Atlas! $\endgroup$
    – David Ward
    Feb 12, 2014 at 19:26

1 Answer 1


You can use GAP to export the values from the character table library into a CSV file (openable with notepad or excel).

gap> ct:= CharacterTable("M");;
gap> classes := List( [ "1a", "2a", "2b" ],
> name -> Position( ClassNames( ct ), name ) );;
gap> PrintTo( "mon.csv", "1A,2A,2B\n", JoinStringsWithSeparator( List( Irr(ct),
> chi -> JoinStringsWithSeparator( chi{classes}, "," ) ), "\n" ) );

Here is the result.

  • $\begingroup$ Excellent, thanks for that. $\endgroup$
    – David Ward
    Feb 12, 2014 at 19:41
  • $\begingroup$ What is sum of degrees irreducible characters of the Monster? A Monster-number?:-) $\endgroup$ Jan 25, 2015 at 18:22
  • $\begingroup$ The sum of the dimensions of the irreducible representations of the Monster is 5844076785304502808013602136. $\endgroup$ Jul 10, 2017 at 21:31
  • $\begingroup$ How could I get a .txt file with the whole character table? I wanted to export it so I can work with it as a list in Mathematica, but I'm having a hard time figuring out this GAP system. $\endgroup$
    – violeta
    Jun 30, 2018 at 17:50

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