He

2^{2}.L_{3}(4).S_{3} 8330 {1a + 51ab + 680a + 1275a + 1920a + \atop 4352a} 7

Character Numbers: [ 1, 2, 3, 6, 9, 12, 14 ]

S_{1} S_{2}  S_{3}  S_{4}  S_{5} S_{6}  S_{7}
χ_{1} 1 105 720  840  840 1344 4480
χ_{2} 1 35 −120 −70 − 70i7  140b7 224  0
χ_{3} 1 35 −120  140b7 −70 − 70i7 224  0
χ_{4} 1 21  6  42  42  0 −112
χ_{5} 1  7  48  −28  −28  0  0
χ_{6} 1 −14  6  7  7 35 −42
χ_{7} 1  0 −15  0  0 −21  35

Ramanujan Graphs: [ 2, 3, 4 ], [ 2, 3, 4, 5, 6 ], [ 2, 3, 4, 5, 6, 7 ], [ 2, 3, 4, 6 ], [ 2, 3, 4, 6, 7 ], [ 2, 3, 4, 7 ], [ 2, 3, 5 ], [ 2, 3, 5, 6 ], [ 2, 3, 5, 6, 7 ], [ 2, 3, 5, 7 ], [ 2, 3, 6, 7 ], [ 2, 3, 7 ], [ 2, 4, 5, 6, 7 ], [ 2, 4, 5, 7 ], [ 2, 4, 6 ], [ 2, 4, 6, 7 ], [ 2, 4, 7 ], [ 2, 5, 6 ], [ 2, 5, 6, 7 ], [ 2, 5, 7 ], [ 2, 7 ], [ 3, 4 ], [ 3, 4, 5, 6 ], [ 3, 4, 5, 6, 7 ], [ 3, 4, 6 ], [ 3, 4, 6, 7 ], [ 3, 4, 7 ], [ 3, 5 ], [ 3, 5, 6 ], [ 3, 5, 6, 7 ], [ 3, 5, 7 ], [ 3, 6, 7 ], [ 3, 7 ], [ 4 ], [ 4, 5, 6 ], [ 4, 5, 6, 7 ], [ 4, 5, 7 ], [ 4, 6 ], [ 4, 6, 7 ], [ 4, 7 ], [ 5 ], [ 5, 6 ], [ 5, 6, 7 ], [ 5, 7 ], [ 7 ]