D40 SmallGroup(40, 6)

[40 12 8 2]: [f1, f4, f1*f4, f2*f4, f4^2, f1*f4^2, f3*f4^2, f4^3, f1*f4^3, f4^4, f1*f4^4, f2*f3*f4^3]
             [2, 5, 8, 10, 12, 16, 19, 20, 24, 28, 32, 33]

[40 12 8 2]: [f1, f3, f1*f4, f2*f4, f3*f4, f3*f4^2, f1*f4^3, f3*f4^3, f1*f4^4, f2*f3*f4^3, f3*f4^4, f1*f3*f4^4]
             [2, 4, 8, 10, 11, 19, 24, 27, 32, 33, 35, 38]

[40 12 8 2]: [f1, f3, f1*f4, f3*f4, f3*f4^2, f1*f2*f4^2, f1*f4^3, f3*f4^3, f1*f4^4, f3*f4^4, f1*f3*f4^4, f1*f2*f3*f4^4]
             [2, 4, 8, 11, 19, 22, 24, 27, 32, 35, 38, 40]

[40 21 20 2]: [f1, f1*f2, f1*f3, f1*f4, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f4^2, f3*f4^2, f1*f2*f3*f4, f1*f2*f4^2, f1*f3*f4^2, f1*f4^3, f1*f2*f3*f4^2, f1*f2*f4^3, f1*f3*f4^3, f1*f4^4, f1*f2*f3*f4^3, f1*f2*f4^4, f1*f3*f4^4, f1*f2*f3*f4^4]
              [2, 6, 7, 8, 13, 14, 15, 16, 19, 21, 22, 23, 24, 29, 30, 31, 32, 36, 37, 38, 40]

[40 28 24 18]: [f2, f3, f1*f2, f1*f3, f2*f3, f3*f4, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f4^2, f2*f3*f4, f2*f4^2, f3*f4^2, f1*f2*f3*f4, f1*f2*f4^2, f1*f3*f4^2, f2*f3*f4^2, f2*f4^3, f3*f4^3, f1*f2*f3*f4^2, f1*f2*f4^3, f1*f3*f4^3, f2*f4^4, f3*f4^4, f1*f2*f3*f4^3, f1*f2*f4^4, f2*f3*f4^4, f1*f2*f3*f4^4]
               [3, 4, 6, 7, 9, 11, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 25, 26, 27, 29, 30, 31, 34, 35, 36, 37, 39, 40]

[40 28 24 18]: [f2, f4, f1*f2, f1*f3, f2*f3, f4^2, f1*f2*f3, f1*f2*f4, f1*f3*f4, f2*f3*f4, f2*f4^2, f3*f4^2, f4^3, f1*f2*f3*f4, f1*f2*f4^2, f1*f3*f4^2, f2*f3*f4^2, f2*f4^3, f4^4, f1*f2*f3*f4^2, f1*f2*f4^3, f1*f3*f4^3, f2*f4^4, f1*f2*f3*f4^3, f1*f2*f4^4, f1*f3*f4^4, f2*f3*f4^4, f1*f2*f3*f4^4]
               [3, 5, 6, 7, 9, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 25, 26, 28, 29, 30, 31, 34, 36, 37, 38, 39, 40]

[40 28 24 18]: [f2, f3, f1*f2, f1*f3, f2*f3, f2*f4, f3*f4, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f4^2, f2*f3*f4, f2*f4^2, f3*f4^2, f1*f2*f3*f4, f1*f3*f4^2, f2*f3*f4^2, f2*f4^3, f3*f4^3, f1*f2*f3*f4^2, f1*f2*f4^3, f1*f3*f4^3, f2*f3*f4^3, f2*f4^4, f3*f4^4, f1*f2*f3*f4^3, f1*f2*f4^4, f2*f3*f4^4]
               [3, 4, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 21, 23, 25, 26, 27, 29, 30, 31, 33, 34, 35, 36, 37, 39]

[40 31 30 22]: [f1, f2, f1*f2, f1*f3, f1*f4, f2*f3, f2*f4, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f4^2, f2*f3*f4, f2*f4^2, f3*f4^2, f1*f2*f3*f4, f1*f2*f4^2, f1*f3*f4^2, f1*f4^3, f2*f3*f4^2, f2*f4^3, f1*f2*f3*f4^2, f1*f2*f4^3, f1*f3*f4^3, f1*f4^4, f2*f3*f4^3, f2*f4^4, f1*f2*f3*f4^3, f1*f2*f4^4, f1*f3*f4^4, f2*f3*f4^4, f1*f2*f3*f4^4]
               [2, 3, 6, 7, 8, 9, 10, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40]

[40 33 32 26]: [f2, f3, f4, f1*f2, f1*f3, f1*f4, f2*f3, f3*f4, f4^2, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f4^2, f2*f3*f4, f2*f4^2, f4^3, f1*f2*f3*f4, f1*f2*f4^2, f1*f4^3, f2*f3*f4^2, f2*f4^3, f3*f4^3, f4^4, f1*f2*f3*f4^2, f1*f2*f4^3, f1*f3*f4^3, f1*f4^4, f2*f4^4, f3*f4^4, f1*f2*f4^4, f1*f3*f4^4, f2*f3*f4^4, f1*f2*f3*f4^4]
               [3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 39, 40]

[40 36 34 32]: [f2, f3, f4, f1*f2, f1*f3, f1*f4, f2*f3, f3*f4, f4^2, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f4^2, f2*f3*f4, f2*f4^2, f3*f4^2, f4^3, f1*f2*f3*f4, f1*f2*f4^2, f1*f3*f4^2, f1*f4^3, f2*f3*f4^2, f2*f4^3, f3*f4^3, f4^4, f1*f2*f3*f4^2, f1*f2*f4^3, f1*f3*f4^3, f1*f4^4, f2*f4^4, f3*f4^4, f1*f2*f3*f4^3, f1*f2*f4^4, f1*f3*f4^4, f2*f3*f4^4, f1*f2*f3*f4^4]
               [3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40]

[40 37 36 34]: [f1, f2, f3, f4, f1*f2, f1*f3, f1*f4, f2*f3, f3*f4, f4^2, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f4^2, f2*f3*f4, f2*f4^2, f3*f4^2, f4^3, f1*f2*f3*f4, f1*f2*f4^2, f1*f3*f4^2, f1*f4^3, f2*f3*f4^2, f2*f4^3, f3*f4^3, f4^4, f1*f2*f3*f4^2, f1*f2*f4^3, f1*f3*f4^3, f1*f4^4, f2*f4^4, f3*f4^4, f1*f2*f3*f4^3, f1*f2*f4^4, f1*f3*f4^4, f2*f3*f4^4, f1*f2*f3*f4^4]
               [2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40]