Final answer:
To find a group that contains a subgroup and an element, we can choose any group and pick a subset of its elements as the subgroup, then choose any element from the group as the element.
Step-by-step explanation:
In mathematics, a group is a set G combined with an operation * that satisfies certain properties. A subgroup H of a group G is a subset of G that is also a group under the same operation. To find a group G that contains a subgroup H and an element a, we can choose any group and pick a subset of its elements as the subgroup H. Then, we can choose any element from the group G, other than the elements already in H, as the element a.