53.11 Irr

Irr( G )

returns the list of irreducible characters of the group G. If necessary the character table of G is computed. The succession of characters is the same as in CharTable( G ).

    gap> Irr( SolvableGroup( "S4" ) );
    [ Character( S4, [ 1, 1, 1, 1, 1 ] ), 
      Character( S4, [ 1, 1, 1, -1, -1 ] ), 
      Character( S4, [ 2, 2, -1, 0, 0 ] ), 
      Character( S4, [ 3, -1, 0, 1, -1 ] ), 
      Character( S4, [ 3, -1, 0, -1, 1 ] ) ] 

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