I'm a last years student in mathematics and I'm making my thesis. The
name will probably be "Working algebraic with groups: an acquintance
with Gap". In this matter I'm studying the Lattice of subgroups of a
permutation group with Gap. I've read about the theory of lattices of
subgroups. But I cannot interprete the output of the command
LatticeSubgroups(G) with G the permutationgroup.
Here's an example: G is the group of permutations of the triangle in the
<subgroup lattice of Sym( [ 1 .. 3 ] ), 4 classes, 6 subgroups>
I don't understand how I can construct the full lattice when I know only
the number of Conjugacy Classes and the number of Subgroups.
Thank you for helping me