HS.2

A_{8} ×2 ≤ A_{8}.2×2 2200 1a^{+} + 22a^{+} + 77a^{+} + 154a^{+}bc + 175a^{+}

+ 693a^{+} + 770a^{+}

8

Character Numbers: [ 1, 3, 5, 7, 9, 10, 14, 16 ]

S_{1} S_{2} S_{3} S_{4} S_{5}  S_{6} S_{7} S_{8}
χ_{1} 1 1 56 105 105 336 336 1260
χ_{2} 1 −1 0 −35 35 −112 112 0
χ_{3} 1 1 −24 25 25  16 16 −60
χ_{4} 1 1 16 15 15 −24 −24  0
χ_{5} 1 −1 0 15 −15 −12 12 0
χ_{6} 1 1 12 −5 −5  28 28 −60
χ_{7} 1 1 −4 −5 −5 −4 −4 20
χ_{8} 1 −1  0 −5  5  8 −8  0

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