For a virtual character ch of a symmetric group on n letters, the degree of ch is n.
i1 : S = schurRing(s,5);
i2 : ch = classFunction s_(3,1,1) o2 = ClassFunction{{1, 1, 1, 1, 1} => 6} {2, 2, 1} => -2 {5} => 1 o2 : ClassFunction
i3 : degree ch o3 = 5