J_{2}.2

(A_{5} × D_{10}).2 1008 1a^{+} + 14ab + 90a^{±} + 126a^{+} + 160a^{+} +

225a^{−} + 288a^{−}

8

Character Numbers: [ 1, 3, 10, 11, 12, 14, 21, 23 ]

S_{1} S_{2} S_{3} S_{4} S_{5} S_{6} S_{7} S_{8}
χ_{1} 1 12 25 50 120 200 300 300
χ_{2} 1 −6 −5 20 30 −10 −60 30
χ_{3} 1 −2 11  8 −6 18 −8 −22
χ_{4} 1 6 −5  0 18 10  0 −30
χ_{5} 1 4 5 −10  0  0 −20 20
χ_{6} 1 3 1  8 −6 −22 12  3
χ_{7} 1 −4 1 −6  8 −8 12 −4
χ_{8} 1 −1 −5  0 −10 10  0  5

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