M_{12}.2

A_{6}.2^{2}  132 1a^{±} + 11ab + 54a^{±}  5

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

S_{1} S_{2}  S_{3}  S_{4} S_{5}
χ_{1} 1 20  30  36 45
χ_{2} 1 20 −30 −36 45
χ_{3} 1 8 0 0 −9
χ_{4} 1 −2 −2r5 2r5 1
χ_{5} 1 −2 2r5 −2r5 1

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