M_{22}

2^{4} : S_{5} 231 1a + 21a + 55a + 154a 4

Character Numbers: [ 1, 2, 5, 7 ]

S_{1} S_{2} S_{3} S_{4}
χ_{1} 1 30 40 160
χ_{2} 1 −3 18 −16
χ_{3} 1 9 −2 −8
χ_{4} 1 −3 −2  4

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