M_{22}.2

{2^{4} : A_{5} ≤ 2^{4} : \atop S_{6}} 924 1a^{±} + 21a^{±} + 55a^{±} + 154a^{±} + 231a^{±} 10

Character Numbers: [ 1, 2, 3, 4, 9, 10, 13, 14, 17, 18 ]

S_{1} S_{2} S_{3} S_{4} S_{5} S_{6}  S_{7} S_{8}  S_{9} S_{10}
χ_{1} 1 1 5 5 96 96 120 120 240 240
χ_{2} 1 −1 −5 5 −96 96 −120 120 −240 240
χ_{3} 1 1 5 5 −36 −36 10 10 20 20
χ_{4} 1 −1 −5 5 36 −36 −10 10 −20 20
χ_{5} 1 1 5 5 12 12 −6 −6 −12 −12
χ_{6} 1 −1 −5 5 −12 12  6 −6  12 −12
χ_{7} 1 1 −1 −1  0  0  12 12 −12 −12
χ_{8} 1 −1 1 −1  0  0 −12 12  12 −12
χ_{9} 1 −1 1 −1  0  0  8 −8 −8  8
χ_{10} 1 1 −1 −1  0  0 −8 −8  8  8

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

2