He.2

2^{2}.L_{3}(4).D_{12} 8330 {1a^{+} + 51ab + 680a^{+} + 1275a^{+} + 1920a^{+} \atop + 4352a^{+}} 6

Character Numbers: [ 1, 3, 5, 8, 11, 15 ]

S_{1} S_{2}  S_{3} S_{4}  S_{5}  S_{6}
χ_{1} 1 105 720 1344 1680 4480
χ_{2} 1 35 −120 224 −140  0
χ_{3} 1 21  6  0  84 −112
χ_{4} 1  7  48  0 −56  0
χ_{5} 1 −14  6 35  14 −42
χ_{6} 1  0 −15 −21  0  35

Ramanujan Graphs: [ 2, 3, 4, 5 ], [ 2, 3, 4, 5, 6 ], [ 2, 3, 4, 6 ], [ 2, 3, 6 ], [ 2, 4, 5, 6 ], [ 2, 5, 6 ], [ 2, 6 ], [ 3, 4, 5 ], [ 3, 4, 5, 6 ], [ 3, 4, 6 ], [ 3, 6 ], [ 4, 5 ], [ 4, 5, 6 ], [ 5, 6 ], [ 6 ]