The term MATH SUBGROUPS can be broken down into two crossword solutions: COSETS (6 letters) and GROUPS (6 letters). COSETS are a type of mathematical subgroup, which is a subset of a larger group that still contains all the properties of the original group. A coset is a set of elements in a group that are related to each other in some way. GROUPS are also a type of mathematical subgroup, which is a collection of elements that share certain properties. Groups can be used to study symmetry, algebraic structures, and other mathematical concepts.