F i_{22}

\begin{matrix}O_{8}^{+}(2).2 \\ ≤ O_{8}^{+}(2).3.2 \end{matrix} 185328 {1a + 429a + 3080a + 13650a + 45045a + \atop 48048a + 75075a} 7

Character Numbers: [ 1, 3, 7, 9, 13, 14, 17 ]

S_{1} S_{2} S_{3}  S_{4}  S_{5}  S_{6}  S_{7}
χ_{1} 1 2 1575 3150 22400 44800 113400
χ_{2} 1 −1 315 −315 2240 −2240  0
χ_{3} 1 2 171 342 −64 −128 −324
χ_{4} 1 2 −9 −18 224  448 −648
χ_{5} 1 2 −9 −18 −64 −128  216
χ_{6} 1 −1 −45  45  80 −80  0
χ_{7} 1 −1 27 −27 −64  64  0

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