Suz

\begin{matrix}3.U_{4}(3) \\ ≤ 3.U_{4}(3) : 2 \end{matrix} 45760 1a + 143a + 364a + 780a + 5940a +

10725a + 12012a + 15795a

8

Character Numbers: [ 1, 2, 3, 4, 9, 10, 11, 15 ]

S_{1} S_{2} S_{3}  S_{4} S_{5}  S_{6} S_{7}  S_{8}
χ_{1} 1 1 486 486 560 8505 8505 27216
χ_{2} 1 −1 162 −162 0 −945 945 0
χ_{3} 1 1 −54 −54 160 405 405 −864
χ_{4} 1 1 90  90 −56 189 189 −504
χ_{5} 1 1 18  18 40 −75 −75  72
χ_{6} 1 −1 18 −18  0  63 −63  0
χ_{7} 1 −1 −18  18  0 −45 45  0
χ_{8} 1 1 −10 −10 −16  9  9  16

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