M_{22}.2

\begin{matrix}2^{3} : L_{3}(2) \\ ≤ 2^{3} : L_{3}(2) × 2 \end{matrix}  660 1a^{±} + 21a^{±} + 55a^{±} + 99a^{±} + 154a^{±}  10

Character Numbers: [ 1, 2, 3, 4, 9, 10, 11, 12, 13, 14 ]

S_{1} S_{2} S_{3} S_{4} S_{5} S_{6}  S_{7} S_{8}  S_{9} S_{10}
χ_{1} 1 1 7 7 42 42 112 112 168 168
χ_{2} 1 −1 −7 7 −42 42 −112 112 −168 168
χ_{3} 1 1 −4 −4 9 9 24 24 −30 −30
χ_{4} 1 −1 4 −4 −9 9 −24 24  30 −30
χ_{5} 1 1 4 4  9 9 −8 −8 −6 −6
χ_{6} 1 −1 −4 4 −9 9  8 −8  6 −6
χ_{7} 1 1 −3 −3  2 2 −8 −8  8  8
χ_{8} 1 −1 3 −3 −2 2  8 −8 −8  8
χ_{9} 1 1 1 1 −6 −6  4 4  0  0
χ_{10} 1 −1 −1 1  6 −6 −4 4  0  0

Ramanujan Graphs: [ 2, 3 ], [ 2, 3, 4, 5, 6, 7, 8, 9, 10 ], [ 2, 3, 4, 5, 7, 8, 9, 10 ], [ 2, 3, 4, 6, 7, 8, 9, 10 ], [ 2, 3, 4, 7, 8, 9, 10 ], [ 2, 3, 5 ], [ 2, 3, 5, 6, 7, 8, 9, 10 ], [ 2, 3, 5, 7, 9 ], [ 2, 3, 5, 9 ], [ 2, 3, 6, 7, 8, 9, 10 ], [ 2, 3, 7 ], [ 2, 3, 7, 8, 9, 10 ], [ 2, 3, 7, 9 ], [ 2, 4, 5, 6, 7, 8, 9, 10 ], [ 2, 4, 5, 7, 8, 9, 10 ], [ 2, 4, 6, 7, 8, 9, 10 ], [ 2, 4, 7, 8, 9, 10 ], [ 2, 5 ], [ 2, 5, 6, 7, 8, 9, 10 ], [ 2, 5, 7, 8, 9, 10 ], [ 2, 5, 7, 9 ], [ 2, 5, 9 ], [ 2, 6, 7, 8, 9, 10 ], [ 2, 7, 8, 9, 10 ], [ 2, 7, 9 ], [ 3 ], [ 3, 4, 5, 6, 7, 8, 9, 10 ], [ 3, 4, 5, 7, 8, 9, 10 ], [ 3, 4, 6, 7, 8, 9, 10 ], [ 3, 4, 7, 8, 9, 10 ], [ 3, 5 ], [ 3, 5, 6, 7, 8, 9, 10 ], [ 3, 5, 7, 8, 9, 10 ], [ 3, 5, 7, 9 ], [ 3, 5, 9 ], [ 3, 6, 7, 8, 9, 10 ], [ 3, 7 ], [ 3, 7, 8, 9, 10 ], [ 3, 7, 9 ], [ 4 ], [ 4, 5, 6, 7, 8, 9, 10 ], [ 4, 5, 7, 8, 9, 10 ], [ 4, 6 ], [ 4, 6, 7, 8, 9, 10 ], [ 4, 6, 8, 10 ], [ 4, 6, 10 ], [ 4, 7, 8, 9, 10 ], [ 4, 8 ], [ 4, 8, 10 ], [ 5 ], [ 5, 6 ], [ 5, 6, 7, 8, 9, 10 ], [ 5, 7, 8, 9, 10 ], [ 5, 7, 9 ], [ 5, 9 ], [ 6 ], [ 6, 7, 8, 9, 10 ], [ 6, 8, 10 ], [ 6, 10 ], [ 7, 8, 9, 10 ], [ 7, 9 ], [ 8, 10 ]