F i_{22}.2

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

Character Numbers: [ 1, 5, 13, 17, 25, 27, 33 ]

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 ]