Hi!

A quick search in the Sage reference manual did not reveal an answer,
so, I hope I can ask here:

If I am not mistaken, lattices are implemented in Sage (at least
Posets are, although they are not much documented). GAP can compute
the subgroup lattice of a finite group. Is there a method implemented
that converts this subgroup lattice into a lattice in Sage? If there
isn't: In what files should I look for relevant material to implement
such thing?

And then, I'd probably like to label the lattices: Namely label both
the vertices and the arrows of a lattice by objects that can be
compared. Isomorphisms of such labelled lattices must preserve the
labels.

Are labelled lattices implemented in Sage? Labelled isomorphisms of
lattices as well?

Best regards,
Simon

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