53.7 Character

Character( repres )

returns the character of the group representation repres.

Character( G, values )

returns the character of the group G with values list values.

Character( G, chi )

returns the character of G corresponding to the character chi with source H. The group H can be a factor group of G, or G can be a subgroup or factor group of H.

    gap> syl2:= SylowSubgroup( S4, 2 );;
    gap> Character( syl2, irr[3] );
    Character( D8, [ 2, 2, 2, 0, 0 ] )
    gap> S3:= S4 / V4;
    Group( a, b )
    gap> Character( S3, irr[3] );
    Character( Group( a, b ), [ 2, -1, 0 ] )
    gap> reg:= Character( S4, [ 24, 0, 0, 0, 0 ] );
    Character( S4, [ 24, 0, 0, 0, 0 ] ) 

Note that it is not checked whether the result is really a character.

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