F i_{22}.2

{O_{8}^{+}(2).S_{3} ≤ \atop O_{8}^{+}(2).3.2 × 2} 123552 {1a^{+} + 1001a^{+} + 3080a^{+} + 10725a^{−} + \atop 13650a^{+} + 45045a^{+} + 50050a^{−}} 7

Character Numbers: [ 1, 7, 13, 16, 17, 25, 30 ]

S_{1} S_{2}  S_{3} S_{4}  S_{5}  S_{6}  S_{7}
χ_{1} 1 1 1575 1575 22400 22400 75600
χ_{2} 1 −1 −225 225 −800 800  0
χ_{3} 1 1 171 171 −64 −64 −216
χ_{4} 1 −1 63 −63 −224 224 0
χ_{5} 1 1 −9 −9 224 224 −432
χ_{6} 1 1 −9 −9 −64 −64 144
χ_{7} 1 −1 −9  9  64 −64  0

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