F i_{22}.2

{O_{8}^{+}(2).3.2 ≤ \atop O_{8}^{+}(2).3.2 × 2} 123552 1a^{±} + 3080a^{±} + 13650a^{±} + 45045a^{±} 8

Character Numbers: [ 1, 2, 13, 14, 17, 18, 25, 26 ]

S_{1} S_{2} S_{3}  S_{4}  S_{5}  S_{6}  S_{7}  S_{8}
χ_{1} 1 1 1575 1575 22400 22400 37800 37800
χ_{2} 1 −1 1575 −1575 −22400 22400 37800 −37800
χ_{3} 1 1 171  171  −64 −64 −108 −108
χ_{4} 1 −1 171 −171  64 −64 −108  108
χ_{5} 1 1 −9  −9  224 224 −216 −216
χ_{6} 1 −1 −9  9 −224 224 −216  216
χ_{7} 1 1 −9  −9  −64 −64  72  72
χ_{8} 1 −1 −9  9  64 −64  72  −72

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