I have to determine all Hasse diagrams of all non-isomorphic lattices with less than or equal to 6 elements. In order to determine the diagrams I systematically added characteristics to the diagrams and I think I have found all of them now. But I also need to prove the that my list is complete.
Does anyone have an idea to derive how many Hasse diagrams exist? (I have already proven that they are not isomorphic to each other)
I found 1 diagram for the 1-element lattices, 1 for the 2-element lattices, 1 for the 3-element lattices, 2 for the 4-element lattices, 5 for the 5-element lattices and 15 for the 6-element latices.