
The question asks for the definition of proper subgroups. A subgroup of a group has the same number of elements of the group whose elements belong to, but a proper subgroups contains less number of element the main group contains. It is said that the order of the subgroup must divide the order of the main group. In the case the order of the subgroup and the order of the main group are the same then the set is simply called a subgroup of the group.
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