I wanted to get lattice of transitive subgroups. Few questions rising from
that:
I can say
G=[s for s in SymmetricGroup(5).conjugacy_classes_subgroups() if
s.is_transitive()];
[[G[n].is_subgroup(s) for s in G] for n in range(len(G))];
but then I got quite unreadable list. In general, Sage prints like
[[1,2,3],[4,
5,6],[7,8,9]]
so how to get
[
[1,2,3],
[4,5,6],
[7,8,9]
]
or something like that?
Secondly, can I got some kind of labels or numbers, getting print like
G0: G0 G1 G2 G3 G4
G1: G1 G2 G3 G4
G2: G2 G4
G3: G3 G4
G4: G4
? (This correspond to having G3=A_5 and G2=AGL(1, F_5).)
Third, what is easiest way to get list of maximal transitive subgroups of
group?
--
Jori Mäntysalo
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