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Odd-order p-groups with as many automorphisms as elements

Find a finite p-group of odd order with exactly as many automorphisms as elements, or check the proposed example of order 1009^52359.

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1# Board: Odd-order p-groups with as many automorphisms as elements
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5**0** open issues, **0** that nobody works on, **0** worked on; **1** open pull request.
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7`main` at 75c8948: no checks on it yet.