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C9:C3 SmallGroup(27, 4)
[27 18 12 9]: [f2, f1^2, f1*f2, f1*f3, f2^2, f2*f3, f1^2*f2, f1^2*f3, f1*f2^2, f1*f3^2, f2^2*f3, f2*f3^2, f1^2*f2^2, f1^2*f2*f3, f1*f2^2*f3, f1*f2*f3^2, f2^2*f3^2, f1^2*f2^2*f3]
[3, 5, 6, 7, 8, 9, 11, 12, 13, 15, 16, 17, 18, 19, 21, 22, 23, 24]
[27 18 12 9]: [f2, f3, f1^2, f1*f2, f1*f3, f2^2, f2*f3, f3^2, f1^2*f2, f1^2*f3, f1*f2^2, f1*f3^2, f1^2*f2^2, f1^2*f2*f3, f1*f2^2*f3, f1*f2*f3^2, f2^2*f3^2, f1^2*f2^2*f3]
[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 18, 19, 21, 22, 23, 24]
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