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Subgroups of pp-groups

Let GG be a group of order p5,p^5, where pp is prime. Consider the following statements:

I. GG has a normal subgroup of order p.p.
II. GG has a normal subgroup of order p2.p^2.
III. GG has a normal subgroup of order p3.p^3.
IV. GG has a normal subgroup of order p4.p^4.

How many of the statements I-IV is/are always true for any GG of order p5p^5?

Terminology: The order of a finite group is the number of elements in the group.

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