F i_{22}.2

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

Character Numbers: [ 1, 8, 13, 15, 17, 25, 29 ]

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, 5, 7 ], [ 2, 3, 7 ], [ 2, 4, 5, 6, 7 ], [ 2, 4, 6, 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, 5, 7 ], [ 3, 7 ], [ 4, 5, 6, 7 ], [ 4, 6, 7 ], [ 4, 7 ], [ 5, 6, 7 ], [ 7 ]