D52 SmallGroup(52, 4)

[52 12 4 2]: [f1, f2*f3, f3^2, f2*f3^4, f3^6, f3^7, f2*f3^8, f1*f3^10, f3^11, f1*f3^11, f2*f3^11, f1*f3^12]
             [2, 7, 8, 19, 24, 28, 35, 42, 44, 46, 47, 50]

[52 12 4 2]: [f1, f2, f3^2, f3^5, f3^6, f3^7, f3^8, f1*f3^9, f1*f2*f3^9, f3^11, f2*f3^12, f1*f2*f3^12]
             [2, 3, 8, 20, 24, 28, 32, 38, 41, 44, 51, 52]

[52 12 4 2]: [f1, f2, f2*f3, f2*f3^4, f3^6, f3^7, f2*f3^8, f1*f3^9, f1*f2*f3^9, f2*f3^11, f2*f3^12, f1*f2*f3^12]
             [2, 3, 7, 19, 24, 28, 35, 38, 41, 47, 51, 52]

[52 12 4 2]: [f1, f2*f3^2, f2*f3^5, f1*f3^6, f1*f2*f3^6, f1*f3^7, f2*f3^7, f1*f2*f3^8, f2*f3^10, f1*f2*f3^10, f1*f3^12, f1*f2*f3^12]
             [2, 11, 23, 26, 29, 30, 31, 37, 43, 45, 50, 52]

[52 13 4 2]: [f1, f2*f3, f3^2, f2*f3^4, f3^6, f2*f3^6, f3^7, f2*f3^8, f1*f3^10, f3^11, f1*f3^11, f2*f3^11, f1*f3^12]
             [2, 7, 8, 19, 24, 27, 28, 35, 42, 44, 46, 47, 50]

[52 13 4 2]: [f1, f2, f3^2, f2*f3^4, f3^5, f2*f3^6, f3^8, f2*f3^8, f1*f3^10, f3^11, f1*f3^11, f1*f3^12, f2*f3^12]
             [2, 3, 8, 19, 20, 27, 32, 35, 42, 44, 46, 50, 51]

[52 13 4 2]: [f1, f2, f3^2, f3^5, f3^6, f2*f3^6, f3^7, f3^8, f1*f3^9, f1*f2*f3^9, f3^11, f2*f3^12, f1*f2*f3^12]
             [2, 3, 8, 20, 24, 27, 28, 32, 38, 41, 44, 51, 52]

[52 13 4 2]: [f1, f2, f2*f3, f2*f3^4, f3^6, f2*f3^6, f3^7, f2*f3^8, f1*f3^9, f1*f2*f3^9, f2*f3^11, f2*f3^12, f1*f2*f3^12]
             [2, 3, 7, 19, 24, 27, 28, 35, 38, 41, 47, 51, 52]

[52 13 4 2]: [f1, f2, f2*f3, f3^2, f2*f3^4, f1*f2*f3^4, f1*f2*f3^7, f2*f3^8, f3^11, f2*f3^11, f1*f3^12, f2*f3^12, f1*f2*f3^12]
             [2, 3, 7, 8, 19, 21, 33, 35, 44, 47, 50, 51, 52]

[52 13 4 2]: [f1, f2, f2*f3, f1*f2*f3, f2*f3^4, f3^5, f3^8, f2*f3^8, f1*f2*f3^10, f2*f3^11, f1*f3^12, f2*f3^12, f1*f2*f3^12]
             [2, 3, 7, 9, 19, 20, 32, 35, 45, 47, 50, 51, 52]

[52 13 4 2]: [f1, f1*f3, f2*f3, f3^2, f2*f3^4, f3^6, f3^7, f2*f3^8, f3^11, f1*f3^11, f2*f3^11, f1*f3^12, f1*f2*f3^12]
             [2, 6, 7, 8, 19, 24, 28, 35, 44, 46, 47, 50, 52]

[52 13 4 2]: [f1, f2*f3^2, f2*f3^5, f1*f3^6, f2*f3^6, f1*f2*f3^6, f1*f3^7, f2*f3^7, f1*f2*f3^8, f2*f3^10, f1*f2*f3^10, f1*f3^12, f1*f2*f3^12]
             [2, 11, 23, 26, 27, 29, 30, 31, 37, 43, 45, 50, 52]

[52 15 11 2]: [f1, f3, f3^2, f3^3, f3^4, f3^5, f3^6, f2*f3^6, f3^7, f1*f2*f3^6, f3^8, f3^9, f3^10, f3^11, f3^12]
              [2, 4, 8, 12, 16, 20, 24, 27, 28, 29, 32, 36, 40, 44, 48]

[52 27 26 2]: [f1, f1*f2, f1*f3, f1*f2*f3, f1*f3^2, f1*f2*f3^2, f1*f3^3, f1*f2*f3^3, f1*f3^4, f1*f2*f3^4, f1*f3^5, f1*f2*f3^5, f1*f3^6, f2*f3^6, f1*f2*f3^6, f1*f3^7, f1*f2*f3^7, f1*f3^8, f1*f2*f3^8, f1*f3^9, f1*f2*f3^9, f1*f3^10, f1*f2*f3^10, f1*f3^11, f1*f2*f3^11, f1*f3^12, f1*f2*f3^12]
              [2, 5, 6, 9, 10, 13, 14, 17, 18, 21, 22, 25, 26, 27, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 49, 50, 52]

[52 37 33 24]: [f3, f1*f2, f1*f3, f3^2, f1*f2*f3, f1*f3^2, f3^3, f1*f2*f3^2, f1*f3^3, f3^4, f1*f2*f3^3, f1*f3^4, f3^5, f1*f2*f3^4, f1*f3^5, f3^6, f1*f2*f3^5, f1*f3^6, f2*f3^6, f3^7, f1*f3^7, f3^8, f1*f2*f3^7, f1*f3^8, f3^9, f1*f2*f3^8, f1*f3^9, f3^10, f1*f2*f3^9, f1*f3^10, f3^11, f1*f2*f3^10, f1*f3^11, f3^12, f1*f2*f3^11, f1*f3^12, f1*f2*f3^12]
               [4, 5, 6, 8, 9, 10, 12, 13, 14, 16, 17, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 36, 37, 38, 40, 41, 42, 44, 45, 46, 48, 49, 50, 52]

[52 39 30 28]: [f2, f3, f1*f2, f1*f3, f1*f2*f3, f1*f3^2, f2*f3^2, f3^3, f1*f2*f3^2, f1*f3^3, f2*f3^3, f3^4, f1*f2*f3^3, f1*f3^4, f3^5, f1*f2*f3^4, f1*f3^5, f2*f3^5, f1*f2*f3^5, f1*f3^6, f2*f3^6, f1*f2*f3^6, f1*f3^7, f2*f3^7, f3^8, f1*f2*f3^7, f1*f3^8, f3^9, f1*f2*f3^8, f1*f3^9, f2*f3^9, f3^10, f1*f2*f3^9, f2*f3^10, f1*f2*f3^10, f3^12, f1*f2*f3^11, f2*f3^12, f1*f2*f3^12]
               [3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 25, 26, 27, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 43, 45, 48, 49, 51, 52]

[52 39 30 28]: [f3, f1*f2, f1*f3, f2*f3, f1*f2*f3, f1*f3^2, f2*f3^2, f3^3, f1*f2*f3^2, f1*f3^3, f2*f3^3, f3^4, f1*f2*f3^3, f1*f3^4, f2*f3^4, f1*f2*f3^4, f1*f3^5, f2*f3^5, f1*f2*f3^5, f1*f3^6, f2*f3^6, f1*f2*f3^6, f1*f3^7, f2*f3^7, f1*f2*f3^7, f1*f3^8, f2*f3^8, f3^9, f1*f2*f3^8, f2*f3^9, f3^10, f1*f3^10, f2*f3^10, f1*f2*f3^10, f1*f3^11, f2*f3^11, f3^12, f1*f2*f3^11, f1*f3^12]
               [4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 25, 26, 27, 29, 30, 31, 33, 34, 35, 36, 37, 39, 40, 42, 43, 45, 46, 47, 48, 49, 50]

[52 39 30 28]: [f3, f1*f2, f1*f3, f3^2, f1*f2*f3, f1*f3^2, f2*f3^2, f3^3, f1*f2*f3^2, f1*f3^3, f2*f3^3, f3^4, f1*f2*f3^3, f1*f3^4, f3^5, f1*f2*f3^4, f1*f3^5, f2*f3^5, f1*f2*f3^5, f1*f3^6, f2*f3^6, f1*f2*f3^6, f1*f3^7, f2*f3^7, f3^8, f1*f2*f3^7, f1*f3^8, f3^9, f1*f2*f3^8, f2*f3^9, f3^10, f1*f3^10, f2*f3^10, f3^11, f1*f2*f3^10, f1*f3^11, f3^12, f1*f2*f3^11, f1*f3^12]
               [4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 25, 26, 27, 29, 30, 31, 32, 33, 34, 36, 37, 39, 40, 42, 43, 44, 45, 46, 48, 49, 50]

[52 39 30 28]: [f2, f3, f1*f2, f1*f3, f2*f3, f3^2, f1*f2*f3, f1*f3^2, f3^3, f1*f2*f3^2, f1*f3^3, f2*f3^3, f3^4, f1*f2*f3^3, f1*f3^4, f2*f3^4, f3^5, f1*f2*f3^4, f1*f3^5, f3^6, f1*f2*f3^5, f2*f3^6, f3^7, f3^8, f1*f2*f3^7, f1*f3^8, f2*f3^8, f3^9, f1*f3^9, f2*f3^9, f3^10, f1*f2*f3^9, f1*f3^10, f3^11, f1*f3^11, f2*f3^11, f3^12, f1*f2*f3^11, f2*f3^12]
               [3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 27, 28, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 44, 46, 47, 48, 49, 51]

[52 49 48 46]: [f2, f3, f1*f2, f1*f3, f2*f3, f3^2, f1*f2*f3, f1*f3^2, f2*f3^2, f3^3, f1*f2*f3^2, f1*f3^3, f2*f3^3, f3^4, f1*f2*f3^3, f1*f3^4, f2*f3^4, f3^5, f1*f2*f3^4, f1*f3^5, f2*f3^5, f3^6, f1*f2*f3^5, f1*f3^6, f3^7, f1*f2*f3^6, f1*f3^7, f2*f3^7, f3^8, f1*f2*f3^7, f1*f3^8, f2*f3^8, f3^9, f1*f2*f3^8, f1*f3^9, f2*f3^9, f3^10, f1*f2*f3^9, f1*f3^10, f2*f3^10, f3^11, f1*f2*f3^10, f1*f3^11, f2*f3^11, f3^12, f1*f2*f3^11, f1*f3^12, f2*f3^12, f1*f2*f3^12]
               [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52]