CharTableSpecialized( generic_table, q )
returns a character table which is computed by evaluating the generic character table generic_table at the parameter q.
gap> t:= CharTableSpecialized( CharTable( "Cyclic" ), 5 );; gap> PrintCharTable( t ); rec( identifier := "C5", name := "C5", size := 5, order := 5, centralizers := [ 5, 5, 5, 5, 5 ], orders := [ 1, 5, 5, 5, 5 ], powermap := [ ,,,, [ 1, 1, 1, 1, 1 ] ], irreducibles := [ [ 1, 1, 1, 1, 1 ], [ 1, E(5), E(5)^2, E(5)^3, E(5)^4 ], [ 1, E(5)^2, E(5)^4, E(5), E(5)^3 ], [ 1, E(5)^3, E(5), E(5)^4, E(5)^2 ], [ 1, E(5)^4, E(5)^3, E(5)^2, E(5) ] ], classparam := [ [ 1, 0 ], [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ] ], irredinfo := [ rec( charparam := [ 1, 0 ] ), rec( charparam := [ 1, 1 ] ), rec( charparam := [ 1, 2 ] ), rec( charparam := [ 1, 3 ] ), rec( charparam := [ 1, 4 ] ) ], text := "computed using generic character table for cyclic groups"\ , classes := [ 1, 1, 1, 1, 1 ], operations := CharTableOps, fusions := [ ], fusionsource := [ ], projections := [ ], projectionsource := [ ] )
GAP 3.4.4