F i_{22}

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

Character Numbers: [ 1, 4, 7, 8, 9, 13, 15 ]

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 ]