C20xC2 SmallGroup(40, 9)

[40 12 8 2]: [f3, f4, f1*f2, f2*f4, f3^2, f1*f2*f4, f2*f3*f4, f3^3, f2*f3^2*f4, f3^4, f2*f3^3*f4, f2*f3^4*f4]
             [4, 5, 6, 10, 11, 14, 18, 19, 26, 27, 34, 39]

[40 12 8 2]: [f2, f4, f1*f2, f3*f4, f1*f2*f4, f2*f3*f4, f3^2*f4, f2*f3^2*f4, f3^3*f4, f2*f3^3*f4, f3^4*f4, f2*f3^4*f4]
             [3, 5, 6, 12, 14, 18, 20, 26, 28, 34, 35, 39]

[40 21 20 2]: [f1, f2, f4, f1*f3, f1*f4, f2*f3, f2*f4, f1*f3^2, f1*f3*f4, f2*f3^2, f2*f3*f4, f1*f3^3, f1*f3^2*f4, f2*f3^3, f2*f3^2*f4, f1*f3^4, f1*f3^3*f4, f2*f3^4, f2*f3^3*f4, f1*f3^4*f4, f2*f3^4*f4]
              [2, 3, 5, 7, 8, 9, 10, 15, 16, 17, 18, 23, 24, 25, 26, 31, 32, 33, 34, 38, 39]

[40 28 24 18]: [f1, f4, f1*f3, f1*f4, f2*f3, f2*f4, f3*f4, f1*f2*f3, f1*f3^2, f1*f3*f4, f2*f3^2, f3^2*f4, f1*f2*f3^2, f1*f2*f3*f4, f1*f3^3, f1*f3^2*f4, f2*f3^3, f3^3*f4, f1*f2*f3^3, f1*f2*f3^2*f4, f1*f3^4, f1*f3^3*f4, f2*f3^4, f3^4*f4, f1*f2*f3^4, f1*f2*f3^3*f4, f1*f3^4*f4, f1*f2*f3^4*f4]
               [2, 5, 7, 8, 9, 10, 12, 13, 15, 16, 17, 20, 21, 22, 23, 24, 25, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 40]

[40 28 24 18]: [f1, f2, f3, f4, f1*f3, f1*f4, f2*f3, f3^2, f1*f2*f3, f1*f3^2, f1*f3*f4, f2*f3^2, f3^3, f1*f2*f3^2, f1*f2*f3*f4, f1*f3^3, f1*f3^2*f4, f2*f3^3, f3^4, f1*f2*f3^3, f1*f2*f3^2*f4, f1*f3^4, f1*f3^3*f4, f2*f3^4, f1*f2*f3^4, f1*f2*f3^3*f4, f1*f3^4*f4, f1*f2*f3^4*f4]
               [2, 3, 4, 5, 7, 8, 9, 11, 13, 15, 16, 17, 19, 21, 22, 23, 24, 25, 27, 29, 30, 31, 32, 33, 36, 37, 38, 40]

[40 31 30 22]: [f1, f2, f4, f1*f2, f1*f3, f1*f4, f2*f3, f2*f4, f1*f2*f3, f1*f2*f4, f1*f3^2, f1*f3*f4, f2*f3^2, f2*f3*f4, f1*f2*f3^2, f1*f2*f3*f4, f1*f3^3, f1*f3^2*f4, f2*f3^3, f2*f3^2*f4, f1*f2*f3^3, f1*f2*f3^2*f4, f1*f3^4, f1*f3^3*f4, f2*f3^4, f2*f3^3*f4, f1*f2*f3^4, f1*f2*f3^3*f4, f1*f3^4*f4, f2*f3^4*f4, f1*f2*f3^4*f4]
               [2, 3, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16, 17, 18, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40]

[40 33 32 26]: [f3, f4, f1*f3, f2*f3, f3^2, f3*f4, f1*f2*f3, f1*f3^2, f1*f3*f4, f2*f3^2, f2*f3*f4, f3^3, f3^2*f4, f1*f2*f3^2, f1*f2*f3*f4, f1*f3^3, f1*f3^2*f4, f2*f3^3, f2*f3^2*f4, f3^4, f3^3*f4, f1*f2*f3^3, f1*f2*f3^2*f4, f1*f3^4, f1*f3^3*f4, f2*f3^4, f2*f3^3*f4, f3^4*f4, f1*f2*f3^4, f1*f2*f3^3*f4, f1*f3^4*f4, f2*f3^4*f4, f1*f2*f3^4*f4]
               [4, 5, 7, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40]

[40 36 34 32]: [f1, f2, f3, f4, f1*f3, f1*f4, f2*f3, f3^2, f3*f4, f1*f2*f3, f1*f3^2, f1*f3*f4, f2*f3^2, f2*f3*f4, f3^3, f3^2*f4, f1*f2*f3^2, f1*f2*f3*f4, f1*f3^3, f1*f3^2*f4, f2*f3^3, f2*f3^2*f4, f3^4, f3^3*f4, f1*f2*f3^3, f1*f2*f3^2*f4, f1*f3^4, f1*f3^3*f4, f2*f3^4, f2*f3^3*f4, f3^4*f4, f1*f2*f3^4, f1*f2*f3^3*f4, f1*f3^4*f4, f2*f3^4*f4, f1*f2*f3^4*f4]
               [2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40]

[40 37 36 34]: [f1, f2, f3, f4, f1*f3, f1*f4, f2*f3, f2*f4, f3^2, f3*f4, f1*f2*f3, f1*f3^2, f1*f3*f4, f2*f3^2, f2*f3*f4, f3^3, f3^2*f4, f1*f2*f3^2, f1*f2*f3*f4, f1*f3^3, f1*f3^2*f4, f2*f3^3, f2*f3^2*f4, f3^4, f3^3*f4, f1*f2*f3^3, f1*f2*f3^2*f4, f1*f3^4, f1*f3^3*f4, f2*f3^4, f2*f3^3*f4, f3^4*f4, f1*f2*f3^4, f1*f2*f3^3*f4, f1*f3^4*f4, f2*f3^4*f4, f1*f2*f3^4*f4]
               [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40]