Classification of p-groups

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jgens
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I am working on classifying all groups of order less than or equal to 100. For most orders, this is fairly straightforward, since we can just utilize Cauchy's Theorem/Sylow's Theorems to show that the group can be expressed as a semi-direct product and then find the desired automorphism.

However, for p-groups the same procedure doesn't really work. In particular, I need to tackle the following two cases:
  • Classify all groups of order p4 where p is a prime.
  • Classify all groups of order 2k where 5 ≤ k ≤ 6.
If anyone has any sources on these problems or knows how to tackle one them, the help is appreciated.

Thanks.
 

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