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I suppose you can try this:

D = CyclicPermutationGroup(9)
H = D.subgroups()
for i in H:
    for j in H:
        K = set(D(x*y) for x in i for y in j)
        if K == set(G):
            ...

I suppose you can try this:

D = CyclicPermutationGroup(9)
H = D.subgroups()
for i in H:
    for j in H:
        K = set(D(x*y) for x in i for y in j)
        if K == set(G):
set(D):
            ...