M_{24}

2^{6} : 3.S_{6}  1771 1a + 252a + 483a + 1035a  4

Character Numbers: [ 1, 7, 9, 14 ]

S_{1} S_{2} S_{3} S_{4}
χ_{1} 1 90 240 1440
χ_{2} 1 21 10 −32
χ_{3} 1 −9 20 −12
χ_{4} 1 −1 −12 12

Ramanujan Graphs: [ 2, 3 ], [ 2, 3, 4 ], [ 2, 4 ], [ 3 ], [ 3, 4 ], [ 4 ]