M_{24}

2^{6} : 3.A_{6} ≤ 2^{6} : 3.S_{6} 3542 1a + 252a + 483a + 1035a + 1771a 5

Character Numbers: [ 1, 7, 9, 14, 18 ]

S_{1} S_{2} S_{3} S_{4} S_{5}
χ_{1} 1 1 180 480 2880
χ_{2} 1 1 42 20 −64
χ_{3} 1 1 −18 40 −24
χ_{4} 1 1 −2 −24 24
χ_{5} 1 −1  0  0  0

Ramanujan Graphs: [ 2, 3, 4, 5 ], [ 2, 3, 5 ], [ 2, 4 ], [ 2, 4, 5 ], [ 2, 5 ], [ 3, 4, 5 ], [ 3, 5 ], [ 4 ], [ 4, 5 ], [ 5 ]