Linear representation theory of projective special linear group:PSL(2,11)

Degrees of irreducible representations
These can be computed using the CharacterDegrees, GAP:CharacterTable, and PSL functions:

gap> CharacterDegrees(CharacterTable(PSL(2,11))); [ [ 1, 1 ], [ 5, 2 ], [ 10, 2 ], [ 11, 1 ], [ 12, 2 ] ]

Character table
This can be computed using the Irr, CharacterTable, and PSL functions:

gap> Irr(CharacterTable(PSL(2,11))); [ Character( CharacterTable( Group(   [ (3,11,9,7,5)(4,12,10,8,6), (1,2,8)(3,7,9)(4,10,5)(6,12,11) ]) ),    [ 1, 1, 1, 1, 1, 1, 1, 1 ] ), Character( CharacterTable( Group(    [ (3,11,9,7,5)(4,12,10,8,6), (1,2,8)(3,7,9)(4,10,5)(6,12,11) ]) ),    [ 5, 0, 0, E(11)+E(11)^3+E(11)^4+E(11)^5+E(11)^9,      E(11)^2+E(11)^6+E(11)^7+E(11)^8+E(11)^10, 1, -1, 1 ] ), Character( CharacterTable( Group(   [ (3,11,9,7,5)(4,12,10,8,6), (1,2,8)(3,7,9)(4,10,5)(6,12,11) ]) ),    [ 5, 0, 0, E(11)^2+E(11)^6+E(11)^7+E(11)^8+E(11)^10,      E(11)+E(11)^3+E(11)^4+E(11)^5+E(11)^9, 1, -1, 1 ] ), Character( CharacterTable( Group(   [ (3,11,9,7,5)(4,12,10,8,6), (1,2,8)(3,7,9)(4,10,5)(6,12,11) ]) ),    [ 10, 0, 0, -1, -1, -2, 1, 1 ] ), Character( CharacterTable( Group(    [ (3,11,9,7,5)(4,12,10,8,6), (1,2,8)(3,7,9)(4,10,5)(6,12,11) ]) ),    [ 10, 0, 0, -1, -1, 2, 1, -1 ] ), Character( CharacterTable( Group(    [ (3,11,9,7,5)(4,12,10,8,6), (1,2,8)(3,7,9)(4,10,5)(6,12,11) ]) ),    [ 11, 1, 1, 0, 0, -1, -1, -1 ] ), Character( CharacterTable( Group(    [ (3,11,9,7,5)(4,12,10,8,6), (1,2,8)(3,7,9)(4,10,5)(6,12,11) ]) ),    [ 12, E(5)^2+E(5)^3, E(5)+E(5)^4, 1, 1, 0, 0, 0 ] ), Character( CharacterTable( Group(   [ (3,11,9,7,5)(4,12,10,8,6), (1,2,8)(3,7,9)(4,10,5)(6,12,11) ]) ),    [ 12, E(5)+E(5)^4, E(5)^2+E(5)^3, 1, 1, 0, 0, 0 ] ) ]