He

{S_{4}(4)  ≤ \atop S_{4}(4).2} 4116 1a + 51ab + 680a + 1029ab + 1275a  7

Character Numbers: [ 1, 2, 3, 6, 7, 8, 9 ]

S_{1} S_{2}  S_{3}  S_{4}  S_{5}  S_{6} S_{7}
χ_{1} 1 1  272  272  425  425 2720
χ_{2} 1 1 −36 − 28i7 −8 + 56b7  75  75 −80
χ_{3} 1 1 −8 + 56b7 −36 − 28i7  75  75 −80
χ_{4} 1 1  20  20  5  5 −52
χ_{5} 1 −1  0  0 −5r17 5r17  0
χ_{6} 1 −1  0  0 5r17 −5r17  0
χ_{7} 1 1  −8  −8  −9  −9 32

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