# Subgroup Lattices of Groups of Small Order

Subgroup Lattices of Groups of Small Order

The subgroup lattice of a group is the Hasse diagram of the subgroups under the partial ordering of set inclusion. This Demonstration displays the subgroup lattice for each of the groups (up to isomorphism) of orders 2 through 12. You can highlight the cyclic subgroups, the normal subgroups, or the center of the group. Moving the cursor over a subgroup displays a description of the subgroup.