Let be the subgroup . The (distinct) left cosets of are: , , and . Since all the elements of have now appeared in one of these cosets, generating any more can not give new cosets; any new coset would have to have an element in common with one of these and therefore would be identical to one of these cosets. For instance, .
let be the subgroup  the (distinct) left cosets of are   and  since all the elements of have now appeared in one of these cosets generating any more can not give new cosets; any new coset would have to have an element in common with one of these and therefore would be identical to one of these cosets for instance 