[GAP Forum] GAP4 question: character table as a matrix

[Roman Schmied]

Hello:

I am trying to use a character table of a permutation group "g" as a 
matrix, for further matrix multiplications. In order to extract this 
matrix, my code is

       TransposedMat(TransposedMat(Irr(CharacterTable(g))));

which is very roundabout. Would anyone know of a nice way of doing this?

My goal is the decomposition of a vector "c" of characters into a direct 
sum of irreducible representations, which I then do with

       TransposedMat(TransposedMat(Irr(CharacterTable(g))))
       * DiagonalMat(SizesConjugacyClasses(CharacterTable(g)))
       * c
       / Length(Elements(g));

Any help would be appreciated.

Cheers!
	Roman.