HS.2

M_{22} ≤ M_{22}.2  200 1a^{±} + 22a^{±} + 77a^{±}  6

Character Numbers: [ 1, 2, 3, 4, 5, 6 ]

S_{1} S_{2} S_{3} S_{4} S_{5} S_{6}
χ_{1} 1 1 22 22 77 77
χ_{2} 1 −1 −22 22 −77 77
χ_{3} 1 1 −8 −8  7 7
χ_{4} 1 −1  8 −8 −7 7
χ_{5} 1 1  2 2 −3 −3
χ_{6} 1 −1 −2 2  3 −3

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