C3xA4 SmallGroup(36, 11)

[36 9 4 2]: [f2, f4, f2^2, f1*f2*f3, f2*f3*f4, f1*f2*f3*f4, f2^2*f3*f4, f1^2*f2^2*f4, f1^2*f2^2*f3*f4]
            [3, 5, 10, 18, 23, 30, 31, 33, 36]

[36 10 4 2]: [f4, f2*f3, f2*f4, f3*f4, f1*f2*f3, f2^2*f3, f2^2*f4, f1*f2*f3*f4, f1^2*f2^2*f4, f1^2*f2^2*f3*f4]
             [5, 11, 12, 13, 18, 21, 22, 30, 33, 36]

[36 10 4 2]: [f2, f4, f2^2, f3*f4, f1*f2*f3, f2*f3*f4, f1*f2*f3*f4, f2^2*f3*f4, f1^2*f2^2*f4, f1^2*f2^2*f3*f4]
             [3, 5, 10, 13, 18, 23, 30, 31, 33, 36]

[36 11 7 2]: [f2, f3, f4, f1*f3, f2^2, f3*f4, f1*f2*f3, f1^2*f3*f4, f1*f2^2*f3, f1^2*f2*f3*f4, f1^2*f2^2*f3*f4]
             [3, 4, 5, 8, 10, 13, 18, 27, 28, 34, 36]

[36 20 12 10]: [f1, f2, f1^2, f1*f2, f1*f3, f2^2, f2*f3, f2*f4, f1^2*f2, f1*f2^2, f2^2*f3, f2^2*f4, f2*f3*f4, f1^2*f2^2, f1^2*f2*f3, f1^2*f3*f4, f1*f2^2*f4, f1*f2*f3*f4, f2^2*f3*f4, f1^2*f2^2*f4]
               [2, 3, 6, 7, 8, 10, 11, 12, 14, 17, 21, 22, 23, 24, 25, 27, 29, 30, 31, 33]

[36 23 16 14]: [f1, f2, f3, f4, f1^2, f1*f2, f1*f3, f2^2, f2*f3, f2*f4, f3*f4, f1^2*f2, f1*f2^2, f2^2*f3, f2^2*f4, f2*f3*f4, f1^2*f2^2, f1^2*f2*f3, f1^2*f3*f4, f1*f2^2*f4, f1*f2*f3*f4, f2^2*f3*f4, f1^2*f2^2*f4]
               [2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 17, 21, 22, 23, 24, 25, 27, 29, 30, 31, 33]

[36 24 16 15]: [f1, f1^2, f1*f2, f1*f3, f2*f3, f2*f4, f1^2*f2, f1^2*f4, f1*f2^2, f1*f2*f4, f1*f3*f4, f2^2*f3, f2^2*f4, f2*f3*f4, f1^2*f2^2, f1^2*f2*f3, f1^2*f3*f4, f1*f2^2*f3, f1*f2^2*f4, f1*f2*f3*f4, f2^2*f3*f4, f1^2*f2^2*f3, f1^2*f2^2*f4, f1^2*f2*f3*f4]
               [2, 6, 7, 8, 11, 12, 14, 16, 17, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34]

[36 25 24 14]: [f1, f3, f1^2, f1*f2, f1*f3, f1*f4, f1^2*f2, f1^2*f3, f1^2*f4, f1*f2^2, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1^2*f2^2, f1^2*f2*f3, f1^2*f2*f4, f1^2*f3*f4, f1*f2^2*f3, f1*f2^2*f4, f1*f2*f3*f4, f1^2*f2^2*f3, f1^2*f2^2*f4, f1^2*f2*f3*f4, f1*f2^2*f3*f4, f1^2*f2^2*f3*f4]
               [2, 4, 6, 7, 8, 9, 14, 15, 16, 17, 18, 19, 20, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36]

[36 26 20 18]: [f1, f2, f3, f1^2, f1*f2, f1*f3, f1*f4, f2^2, f3*f4, f1^2*f2, f1^2*f3, f1^2*f4, f1*f2^2, f1*f2*f4, f1*f3*f4, f2*f3*f4, f1^2*f2^2, f1^2*f2*f3, f1^2*f2*f4, f1^2*f3*f4, f1*f2^2*f3, f1*f2^2*f4, f2^2*f3*f4, f1^2*f2^2*f3, f1^2*f2*f3*f4, f1*f2^2*f3*f4]
               [2, 3, 4, 6, 7, 8, 9, 10, 13, 14, 15, 16, 17, 19, 20, 23, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35]

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

[36 31 30 26]: [f1, f3, f4, f1^2, f1*f2, f1*f3, f1*f4, f2*f3, f2*f4, f3*f4, f1^2*f2, f1^2*f3, f1^2*f4, f1*f2^2, f1*f2*f3, f1*f2*f4, f1*f3*f4, f2^2*f3, f2^2*f4, f1^2*f2^2, f1^2*f2*f3, f1^2*f2*f4, f1^2*f3*f4, f1*f2^2*f3, f1*f2^2*f4, f1*f2*f3*f4, f1^2*f2^2*f3, f1^2*f2^2*f4, f1^2*f2*f3*f4, f1*f2^2*f3*f4, f1^2*f2^2*f3*f4]
               [2, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36]

[36 33 32 30]: [f1, f2, f3, f1^2, f1*f2, f1*f3, f1*f4, f2^2, f2*f3, f2*f4, f1^2*f2, f1^2*f3, f1^2*f4, f1*f2^2, f1*f2*f3, f1*f2*f4, f1*f3*f4, f2^2*f3, f2^2*f4, f2*f3*f4, f1^2*f2^2, f1^2*f2*f3, f1^2*f2*f4, f1^2*f3*f4, f1*f2^2*f3, f1*f2^2*f4, f1*f2*f3*f4, f2^2*f3*f4, f1^2*f2^2*f3, f1^2*f2^2*f4, f1^2*f2*f3*f4, f1*f2^2*f3*f4, f1^2*f2^2*f3*f4]
               [2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36]