J_{2}.2

{3.A_{6}.2_{3} ≤ \atop 3.A_{6}.2^{2}} 560 {1a^{+} + 21ab + 63a^{±} + 90a^{+} + 126a^{+} + \atop 175a^{−}} 7

Character Numbers: [ 1, 4, 7, 8, 10, 12, 17 ]

S_{1} S_{2} S_{3} S_{4} S_{5} S_{6} S_{7}
χ_{1} 1 1 36 36 135 135 216
χ_{2} 1 −1 −12 12 15 −15  0
χ_{3} 1 1 −4 −4 15 15 −24
χ_{4} 1 −1 8 −8 15 −15 0
χ_{5} 1 1  8 8 −5 −5 −8
χ_{6} 1 1 −4 −4 −5 −5 16
χ_{7} 1 −1  0 0 −9  9  0

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