Assume you have an algebraic problem that outputs a list of (finite) lattices on $n$ points for a given number $n$.
Question 1: Is there a way to search the internet/literature to see what exactly those lattices are?
Maybe there is an existing search engine for such kind of problems (and maybe for related combinatorial structures) already.
So the input is a list of lattice on $n$ vertices and the output might be where those lattices appeared before or at least a list of properties of such lattices have (so that they might be a subclass of a class of lattices with a name).
In my concrete case those lattices seem to contain the class of extremal and the class of semidistributive lattices (see for example https://doc.sagemath.org/html/en/reference/combinat/sage/combinat/posets/lattices.html for the definitions).
Question 2: What are known classes (with a name) of lattices that contain the extremal and semidistributive lattices?
Maybe a common generalisation of those two classes has been studied already in the literature.