M_{22}.2

{2^{4} : S_{5} ≤ 2^{4} : \atop S_{6}} 462 1a^{+} + 21a^{+} + 55a^{+} + 154a^{+} + 231a^{−} 5

Character Numbers: [ 1, 3, 9, 13, 18 ]

S_{1} S_{2} S_{3} S_{4} S_{5}
χ_{1} 1 5 96 120 240
χ_{2} 1 5 −36 10 20
χ_{3} 1 5 12 −6 −12
χ_{4} 1 −1  0 12 −12
χ_{5} 1 −1  0 −8  8

Ramanujan Graphs: [ 2 ], [ 2, 3, 4 ], [ 2, 3, 4, 5 ], [ 2, 3, 5 ], [ 2, 4 ], [ 2, 4, 5 ], [ 2, 5 ], [ 3, 4 ], [ 3, 4, 5 ], [ 3, 5 ], [ 4 ], [ 4, 5 ], [ 5 ]