M_{22}.2

\begin{matrix}2^{4} : (A_{5} × 2) \\ ≤ 2^{5} : S_{5} \end{matrix} 462 1a^{+} + 21a^{±} + 55a^{+} + 154a^{+} + 210a^{−} 6

Character Numbers: [ 1, 3, 4, 9, 13, 16 ]

S_{1} S_{2} S_{3} S_{4} S_{5} S_{6}
χ_{1} 1 1 40 40 60 320
χ_{2} 1 1 18 18 −6 −32
χ_{3} 1 −1 −20 20 0  0
χ_{4} 1 1 −2 −2 18 −16
χ_{5} 1 1 −2 −2 −6  8
χ_{6} 1 −1  2 −2 0  0

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