J_{2}

A_{4} × A_{5} 840 {1a + 63a + 90a + 126a + 160a + 175a + \atop 225a} 7

Character Numbers: [ 1, 7, 10, 11, 12, 13, 18 ]

S_{1} S_{2} S_{3} S_{4} S_{5} S_{6} S_{7}
χ_{1} 1 15 20 24 180 240 360
χ_{2} 1 5 10 −6  0 20 −30
χ_{3} 1 1 6 10 −16 −12 10
χ_{4} 1 −5 0 4 20  0 −20
χ_{5} 1 6 −4 0 9 −12 0
χ_{6} 1 −3 2 −6  0 −12 18
χ_{7} 1 −1 −4 0 −12 16  0

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