C12xC3 SmallGroup(36, 8)

[36 11 7 2]: [f1, f2, f3, f4, f1*f4, f2^2, f2*f3, f3^2, f2^2*f3, f2*f3^2, f2^2*f3^2]
             [2, 3, 4, 5, 8, 9, 10, 12, 19, 21, 29]

[36 19 18 2]: [f1, f4, f1*f2, f1*f3, f1*f4, f1*f2^2, f1*f2*f3, f1*f2*f4, f1*f3^2, f1*f3*f4, f1*f2^2*f3, f1*f2^2*f4, f1*f2*f3^2, f1*f2*f3*f4, f1*f3^2*f4, f1*f2^2*f3^2, f1*f2^2*f3*f4, f1*f2*f3^2*f4, f1*f2^2*f3^2*f4]
              [2, 5, 6, 7, 8, 14, 15, 16, 17, 18, 24, 25, 26, 27, 28, 32, 33, 34, 36]

[36 25 21 16]: [f2, f3, f4, f1*f2, f1*f3, f2^2, f2*f3, f3^2, f1*f2^2, f1*f2*f3, f1*f2*f4, f1*f3^2, f1*f3*f4, f2^2*f3, f2*f3^2, f1*f2^2*f3, f1*f2^2*f4, f1*f2*f3^2, f1*f2*f3*f4, f1*f3^2*f4, f2^2*f3^2, f1*f2^2*f3^2, f1*f2^2*f3*f4, f1*f2*f3^2*f4, f1*f2^2*f3^2*f4]
               [3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 16, 17, 18, 19, 21, 24, 25, 26, 27, 28, 29, 32, 33, 34, 36]

[36 25 24 14]: [f2, f3, f4, f1*f2, f1*f3, f2^2, f2*f4, f3^2, f3*f4, f1*f2^2, f1*f2*f4, f1*f3^2, f1*f3*f4, f2^2*f3, f2^2*f4, f2*f3^2, f3^2*f4, f1*f2^2*f3, f1*f2^2*f4, f1*f2*f3^2, f1*f3^2*f4, f2^2*f3*f4, f2*f3^2*f4, f1*f2^2*f3*f4, f1*f2*f3^2*f4]
               [3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 28, 30, 31, 33, 34]

[36 31 30 26]: [f1, f2, f3, f4, f1*f2, f1*f3, f1*f4, f2^2, f2*f4, f3^2, f3*f4, f1*f2^2, f1*f2*f3, f1*f2*f4, f1*f3^2, f1*f3*f4, f2^2*f3, f2^2*f4, f2*f3^2, f3^2*f4, f1*f2^2*f3, f1*f2^2*f4, f1*f2*f3^2, f1*f2*f3*f4, f1*f3^2*f4, f2^2*f3*f4, f2*f3^2*f4, f1*f2^2*f3^2, f1*f2^2*f3*f4, f1*f2*f3^2*f4, f1*f2^2*f3^2*f4]
               [2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 36]

[36 33 32 30]: [f2, f3, f4, f1*f2, f1*f3, f2^2, f2*f3, f2*f4, f3^2, f3*f4, f1*f2^2, f1*f2*f3, f1*f2*f4, f1*f3^2, f1*f3*f4, f2^2*f3, f2^2*f4, f2*f3^2, f2*f3*f4, f3^2*f4, f1*f2^2*f3, f1*f2^2*f4, f1*f2*f3^2, f1*f2*f3*f4, f1*f3^2*f4, f2^2*f3^2, f2^2*f3*f4, f2*f3^2*f4, f1*f2^2*f3^2, f1*f2^2*f3*f4, f1*f2*f3^2*f4, f2^2*f3^2*f4, f1*f2^2*f3^2*f4]
               [3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36]