M_{12}

A_{6}.2_{1} ≤ A_{6}.2^{2} 132 1a + 11ab + 54a + 55a 5

Character Numbers: [ 1, 2, 3, 7, 8 ]

A_{6}.2_{1} ≤ A_{6}.2^{2} 132 1a + 11ab + 54a + 55a 5

Character Numbers: [ 1, 2, 3, 7, 8 ]

S_{1} S_{2} S_{3} S_{4} S_{5}
χ_{1} 1 1 40 45 45
χ_{2} 1 −1 0 15 −15
χ_{3} 1 1 16 −9 −9
χ_{4} 1 1 −4 1  1
χ_{5} 1 −1 0 −3  3

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