Google AI

In the space of a couple of minutes I got the following two statements from Google AI:

• Isomorphism of groups does not imply isomorphism of their subgroup lattices. (This is obvious nonsense.)
• S₃ and D₆ are non-isomorphic groups with isomorphic subgroup lattices. (Perhaps it is clearer how this stupidity came about: it depends what you mean by D₆. If it is the dihedral group of order 6, they are isomorphic groups; if it is the dihedral group of order 12, they are non-isomorphic but have non-isomorphic subgroup lattices.)