Finite Nilpotent Groups with Automorphism Groups of Order 16p3 (p prime )
This paper discusses the structures of nilpotent group G by using the oder of automorphism group G. In the process, first,We use the orders of automorphism group Q of some finite p-group Q to determine the structure of the Q group. We know nilpotent group G can decompose into the direct product of all its Sylow p-subgroups, then, by discussing the orders of automorphism group Pt,We can found out all the finite nilpotent groups when the order of automorphism group G equals 16p3 with p being odd primes.
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