C16 SmallGroup(16, 1)

[16 9 8 2]: [f1, f4, f1*f2, f1*f3, f1*f4, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f2*f3*f4]
            [2, 5, 6, 7, 8, 12, 13, 14, 16]

[16 13 12 10]: [f1, f2, f4, f1*f2, f1*f3, f1*f4, f2*f3, f2*f4, f1*f2*f3, f1*f2*f4, f1*f3*f4, f2*f3*f4, f1*f2*f3*f4]
               [2, 3, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16]