C4:C4 SmallGroup(16, 4)

[16 7 4 2]: [f3, f4, f2*f4, f3*f4, f1*f2*f3, f2*f3*f4, f1*f2*f3*f4]
            [4, 5, 10, 11, 12, 15, 16]

[16 8 4 2]: [f1, f2, f3, f4, f1*f2, f1*f4, f2*f3, f1*f2*f4]
            [2, 3, 4, 5, 6, 8, 9, 13]

[16 9 6 4]: [f1, f2, f4, f1*f2, f1*f3, f1*f4, f2*f3, f1*f2*f4, f1*f3*f4]
            [2, 3, 5, 6, 7, 8, 9, 13, 14]

[16 9 8 2]: [f1, f1*f2, f1*f3, f1*f4, f3*f4, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f2*f3*f4]
            [2, 6, 7, 8, 11, 12, 13, 14, 16]

[16 11 8 6]: [f1, f2, f3, f4, f1*f2, f1*f3, f1*f4, f2*f3, f3*f4, f1*f2*f4, f1*f3*f4]
             [2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 14]

[16 12 10 8]: [f1, f2, f3, f1*f2, f1*f3, f1*f4, f2*f3, f3*f4, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f2*f3*f4]
              [2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 16]

[16 13 12 10]: [f1, f2, f3, f4, f1*f2, f1*f3, f1*f4, f2*f3, f3*f4, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f2*f3*f4]
               [2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 16]