1. The problem statement, all variables and given/known data Find all cyclic subgroups of Z6 x Z3. 2. Relevant equations 3. The attempt at a solution I understand how to find a cyclic subgroup of a simpler group such as Z4, but having trouble understanding what subgroups look like in a direct product of integer spaces, let alone cyclic subgroups. Also, having trouble understanding what makes a direct product subgroup cyclic. Is it cyclic when (a1, a2)^n = (e1, e2)? Please help!!