M_{22}.2

A_{6}.2_{3} ≤ A_{6}.2^{2} 1232 1a^{±} + 21a^{±} + 55a^{±} + 154a^{±} + 385a^{±} 10

Character Numbers: [ 1, 2, 3, 4, 9, 10, 13, 14, 20, 21 ]

S_{1} S_{2} S_{3} S_{4} S_{5} S_{6}  S_{7} S_{8}  S_{9} S_{10}
χ_{1} 1 1 30 30 45 45 180 180 360 360
χ_{2} 1 −1 −30 30 −45 45 −180 180 −360 360
χ_{3} 1 1 8 8 −21 −21 48 48 −36 −36
χ_{4} 1 −1 −8 8 21 −21 −48 48  36 −36
χ_{5} 1 1 16 16  3  3 −16 −16 −4 −4
χ_{6} 1 −1 −16 16 −3  3  16 −16  4 −4
χ_{7} 1 1 −2 −2  9  9  8  8 −16 −16
χ_{8} 1 −1  2 −2 −9  9 −8  8  16 −16
χ_{9} 1 1 −2 −2 −3 −3 −4 −4  8  8
χ_{10} 1 −1  2 −2  3 −3  4 −4 −8  8

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