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C2x(C5:C4){1} SmallGroup(40, 7)
[40 12 8 2]: [f3, f4, f2*f3, f4^2, f2*f3*f4, f4^3, f2*f3*f4^2, f4^4, f2*f3*f4^3, f1*f2*f4^4, f2*f3*f4^4, f1*f2*f3*f4^4]
[4, 5, 9, 12, 17, 20, 25, 28, 33, 37, 39, 40]
[40 12 8 2]: [f2, f3, f3*f4, f2*f3*f4, f3*f4^2, f2*f3*f4^2, f3*f4^3, f2*f3*f4^3, f3*f4^4, f1*f2*f4^4, f2*f3*f4^4, f1*f2*f3*f4^4]
[3, 4, 11, 17, 19, 25, 27, 33, 35, 37, 39, 40]
[40 21 20 2]: [f1, f2, f3, f1*f3, f1*f4, f2*f3, f2*f4, f1*f3*f4, f1*f4^2, f2*f3*f4, f2*f4^2, f1*f3*f4^2, f1*f4^3, f2*f3*f4^2, f2*f4^3, f1*f3*f4^3, f1*f4^4, f2*f3*f4^3, f2*f4^4, f1*f3*f4^4, f2*f3*f4^4]
[2, 3, 4, 7, 8, 9, 10, 15, 16, 17, 18, 23, 24, 25, 26, 31, 32, 33, 34, 38, 39]
[40 28 24 18]: [f1, f3, f1*f2, f1*f3, f1*f4, f2*f3, f2*f4, f3*f4, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f4^2, f2*f4^2, f3*f4^2, f1*f2*f3*f4, f1*f2*f4^2, f1*f3*f4^2, f1*f4^3, f2*f4^3, f3*f4^3, 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*f3*f4^4]
[2, 4, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 18, 19, 21, 22, 23, 24, 26, 27, 29, 30, 31, 32, 34, 35, 36, 38]
[40 28 24 18]: [f1, f2, f3, f4, f1*f2, f1*f3, f1*f4, f2*f4, f4^2, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f4^2, f2*f4^2, f4^3, f1*f2*f3*f4, f1*f2*f4^2, f1*f3*f4^2, f1*f4^3, f2*f4^3, f4^4, f1*f2*f3*f4^2, f1*f2*f4^3, f1*f3*f4^3, f1*f4^4, f2*f4^4, f1*f2*f3*f4^3, f1*f3*f4^4]
[2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 16, 18, 20, 21, 22, 23, 24, 26, 28, 29, 30, 31, 32, 34, 36, 38]
[40 31 30 22]: [f1, f2, f3, 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, 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, 4, 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]: [f1, f3, f4, f1*f2, f1*f3, f1*f4, f2*f4, 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, f2*f3*f4^3, f2*f4^4, f3*f4^4, f1*f2*f3*f4^3, f2*f3*f4^4]
[2, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 39]
[40 36 34 32]: [f1, f2, f3, f4, f1*f2, f1*f3, f1*f4, f2*f4, 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*f3*f4^3, f2*f4^4, f3*f4^4, f1*f2*f3*f4^3, f1*f3*f4^4, f2*f3*f4^4]
[2, 3, 4, 5, 6, 7, 8, 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, 38, 39]
[40 37 36 34]: [f1, f2, f3, f4, f1*f2, f1*f3, f1*f4, f2*f3, f2*f4, 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*f3*f4^3, f2*f4^4, f3*f4^4, f1*f2*f3*f4^3, f1*f3*f4^4, f2*f3*f4^4]
[2, 3, 4, 5, 6, 7, 8, 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, 38, 39]
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