F i_{22}.2

{O_{8}^{+}(2).3 ≤ \atop O_{8}^{+}(2).3.2 × 2} 247104 {1a^{±} + 1001a^{±} + 3080a^{±} + 10725a^{±} + \atop 13650a^{±} + 45045a^{±} + 50050a^{±}} 14

Character Numbers: [ 1, 2, 7, 8, 13, 14, 15, 16, 17, 18, 25, 26, 29, 30 ]

S_{1} S_{2} S_{3} S_{4}  S_{5}  S_{6}  S_{7} S_{8}  S_{9}  S_{10} S_{11}  S_{12} S_{13}  S_{14}
χ_{1} 1 1 1 1 1575 1575 1575 1575 22400 22400 22400 22400 75600 75600
χ_{2} 1 −1 1 −1 −1575 1575 −1575 1575 22400 −22400 22400 −22400 75600 −75600
χ_{3} 1 1 −1 −1 −225 −225  225 225 800  800 −800 −800  0  0
χ_{4} 1 −1 −1 1  225 −225 −225 225 800 −800 −800  800  0  0
χ_{5} 1 1 1 1  171 171  171 171 −64  −64 −64  −64 −216 −216
χ_{6} 1 −1 1 −1 −171 171 −171 171 −64  64 −64  64 −216  216
χ_{7} 1 −1 −1 1 −63  63  63 −63 224 −224 −224  224  0  0
χ_{8} 1 1 −1 −1  63  63 −63 −63 224  224 −224 −224  0  0
χ_{9} 1 1 1 1  −9 −9  −9 −9 224  224 224  224 −432 −432
χ_{10} 1 −1 1 −1  9 −9  9 −9 224 −224 224 −224 −432  432
χ_{11} 1 1 1 1  −9 −9  −9 −9 −64  −64 −64  −64 144  144
χ_{12} 1 −1 1 −1  9 −9  9 −9 −64  64 −64  64 144 −144
χ_{13} 1 −1 −1 1  9 −9  −9  9 −64  64  64  −64  0  0
χ_{14} 1 1 −1 −1  −9 −9  9  9 −64  −64  64  64  0  0

Ramanujan Graphs: [ 2, 3 ], [ 2, 3, 4 ], [ 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 ], [ 2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14 ], [ 2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14 ], [ 2, 3, 4, 6, 7, 9, 10, 11, 12, 13, 14 ], [ 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14 ], [ 2, 3, 4, 9, 10, 11, 12, 13, 14 ], [ 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 ], [ 2, 3, 5, 6, 9, 10, 11, 12, 13, 14 ], [ 2, 3, 5, 8, 9, 10, 11, 12, 13, 14 ], [ 2, 3, 6, 7, 9, 10, 11, 12, 13, 14 ], [ 2, 3, 7, 8, 9, 10, 11, 12, 13, 14 ], [ 2, 3, 9, 10, 11, 12, 13, 14 ], [ 2, 4 ], [ 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 ], [ 2, 4, 5, 6, 9, 10, 11, 12, 13, 14 ], [ 2, 4, 5, 7, 10, 12 ], [ 2, 4, 5, 7, 10, 12, 14 ], [ 2, 4, 5, 7, 14 ], [ 2, 4, 5, 8, 9, 10, 11, 12, 13, 14 ], [ 2, 4, 5, 10, 12, 14 ], [ 2, 4, 5, 10, 14 ], [ 2, 4, 5, 14 ], [ 2, 4, 6, 7, 9, 10, 11, 12, 13, 14 ], [ 2, 4, 7, 8, 9, 10, 11, 12, 13, 14 ], [ 2, 4, 7, 10, 12, 14 ], [ 2, 4, 7, 12, 14 ], [ 2, 4, 7, 14 ], [ 2, 4, 9, 10, 11, 12, 13, 14 ], [ 2, 4, 10, 12, 14 ], [ 2, 4, 14 ], [ 2, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 ], [ 2, 5, 6, 9, 10, 11, 12, 13, 14 ], [ 2, 5, 7, 10, 12 ], [ 2, 5, 7, 10, 12, 14 ], [ 2, 5, 7, 14 ], [ 2, 5, 8, 9, 10, 11, 12, 13, 14 ], [ 2, 5, 10, 12, 14 ], [ 2, 5, 10, 14 ], [ 2, 5, 14 ], [ 2, 6, 7, 9, 10, 11, 12, 13, 14 ], [ 2, 7, 8, 9, 10, 11, 12, 13, 14 ], [ 2, 7, 10, 12, 14 ], [ 2, 7, 12, 14 ], [ 2, 7, 14 ], [ 2, 9, 10, 11, 12, 13, 14 ], [ 2, 10, 12, 14 ], [ 2, 14 ], [ 3, 4 ], [ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 ], [ 3, 4, 5, 6, 9, 10, 11, 12, 13, 14 ], [ 3, 4, 5, 8, 9, 10, 11, 12, 13, 14 ], [ 3, 4, 6, 7, 9, 10, 11, 12, 13, 14 ], [ 3, 4, 7, 8, 9, 10, 11, 12, 13, 14 ], [ 3, 4, 9, 10, 11, 12, 13, 14 ], [ 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 ], [ 3, 5, 6, 9, 10, 11, 12, 13, 14 ], [ 3, 5, 8, 9, 10, 11, 12, 13, 14 ], [ 3, 6, 7, 9, 10, 11, 12, 13, 14 ], [ 3, 6, 8, 9, 11 ], [ 3, 6, 8, 9, 11, 13 ], [ 3, 6, 8, 13 ], [ 3, 6, 9, 11, 13 ], [ 3, 6, 9, 13 ], [ 3, 6, 13 ], [ 3, 7, 8, 9, 10, 11, 12, 13, 14 ], [ 3, 8, 9, 11, 13 ], [ 3, 8, 11, 13 ], [ 3, 8, 13 ], [ 3, 9, 10, 11, 12, 13, 14 ], [ 3, 9, 11, 13 ], [ 3, 13 ], [ 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 ], [ 4, 5, 6, 9, 10, 11, 12, 13, 14 ], [ 4, 5, 7, 10, 12 ], [ 4, 5, 7, 10, 12, 14 ], [ 4, 5, 7, 14 ], [ 4, 5, 8, 9, 10, 11, 12, 13, 14 ], [ 4, 5, 10, 12, 14 ], [ 4, 5, 10, 14 ], [ 4, 5, 14 ], [ 4, 6, 7, 9, 10, 11, 12, 13, 14 ], [ 4, 7, 8, 9, 10, 11, 12, 13, 14 ], [ 4, 7, 10, 12, 14 ], [ 4, 7, 12, 14 ], [ 4, 7, 14 ], [ 4, 9, 10, 11, 12, 13, 14 ], [ 4, 10, 12, 14 ], [ 4, 14 ], [ 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 ], [ 5, 6, 9, 10, 11, 12, 13, 14 ], [ 5, 7, 10, 12 ], [ 5, 7, 10, 12, 14 ], [ 5, 7, 14 ], [ 5, 8, 9, 10, 11, 12, 13, 14 ], [ 5, 10, 12, 14 ], [ 5, 10, 14 ], [ 5, 14 ], [ 6, 7, 9, 10, 11, 12, 13, 14 ], [ 6, 8, 9, 11 ], [ 6, 8, 9, 11, 13 ], [ 6, 8, 13 ], [ 6, 9, 11, 13 ], [ 6, 9, 13 ], [ 6, 13 ], [ 7, 8, 9, 10, 11, 12, 13, 14 ], [ 7, 10, 12, 14 ], [ 7, 12, 14 ], [ 7, 14 ], [ 8, 9, 11, 13 ], [ 8, 11, 13 ], [ 8, 13 ], [ 9, 10, 11, 12, 13, 14 ], [ 9, 11, 13 ], [ 10, 12, 14 ], [ 13 ], [ 14 ]