J_{2}.2

{3.A_{6}.2_{2}  ≤ \atop 3.A_{6}.2^{2}} 560 1a^{±} + 63a^{±} + 90a^{±} + 126a^{±}  8

Character Numbers: [ 1, 2, 7, 8, 10, 11, 12, 13 ]

S_{1} S_{2} S_{3} S_{4} S_{5}  S_{6}  S_{7} S_{8}
χ_{1} 1 1 36 36 108 108 135 135
χ_{2} 1 −1 −36 36 108 −108 −135 135
χ_{3} 1 1 −4 −4 −12 −12  15 15
χ_{4} 1 −1 4 −4 −12 12 −15 15
χ_{5} 1 1  8 8 −4 −4 −5 −5
χ_{6} 1 −1 −8 8 −4  4  5 −5
χ_{7} 1 1 −4 −4  8  8 −5 −5
χ_{8} 1 −1  4 −4  8 −8  5 −5

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