M_{22}.2

2^{4} : A_{6} ≤ 2^{4} : S_{6}  154 1a^{±} + 21a^{±} + 55a^{±}  6

Character Numbers: [ 1, 2, 3, 4, 9, 10 ]

S_{1} S_{2} S_{3} S_{4} S_{5} S_{6}
χ_{1} 1 1 16 16 60 60
χ_{2} 1 −1 −16 16 −60 60
χ_{3} 1 1 −6 −6  5 5
χ_{4} 1 −1  6 −6 −5 5
χ_{5} 1 1  2 2 −3 −3
χ_{6} 1 −1 −2 2  3 −3

Ramanujan Graphs: [ 2, 3 ], [ 2, 3, 4 ], [ 2, 3, 4, 5, 6 ], [ 2, 3, 5 ], [ 2, 3, 5, 6 ], [ 2, 4, 5, 6 ], [ 2, 5 ], [ 2, 5, 6 ], [ 3 ], [ 3, 4, 5, 6 ], [ 3, 5 ], [ 3, 5, 6 ], [ 4 ], [ 4, 5, 6 ], [ 4, 6 ], [ 5 ], [ 5, 6 ], [ 6 ]