M_{24}

\begin{matrix}2^{6} : (7 : 3 × S_{3}) \\ ≤ 2^{6} : (L_{3}(2) × S_{3}) \end{matrix} 30360 1a + 252a + 483a + 1035a + 1265a +

1771a + 2024a + 2277a + 5313a + 5544a + 10395a

11

Character Numbers: [ 1, 7, 9, 14, 17, 18, 19, 20, 23, 24, 26 ]

S_{1} S_{2} S_{3} S_{4} S_{5} S_{6} S_{7}  S_{8}  S_{9} S_{10} S_{11}
χ_{1} 1 7 168 168 224 224 2688 2688 8064 8064 8064
χ_{2} 1 7 76 76 40 40 −72 −72 −216 −216 336
χ_{3} 1 7 36 36 −40 −40 48  48 144 144 −384
χ_{4} 1 7 −12 −12 40 40 16  16  48  48 −192
χ_{5} 1 −1 12 −12 −8  8  0  0 −288 288  0
χ_{6} 1 −1 −24 24 −32 32  0  0  0  0  0
χ_{7} 1 7 −12 −12 −16 −16 −12 −12 −36 −36 144
χ_{8} 1 −1 12 −12 −8  8 112 −112  48 −48  0
χ_{9} 1 −1 12 −12 −8  8 −48  48  48 −48  0
χ_{10} 1 −1 −4  4  8 −8 60  60 −60 −60  0
χ_{11} 1 −1 −4  4  8 −8 −32 −32  32  32  0

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