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replaced http://mathoverflow.net/ with https://mathoverflow.net/

edited Apr 13, 2017 at 12:58

If you look at my answer to this question, you will see that the number of proper subgroups grows at least as fast as $2^{n^2/6},$ so much faster than $n!.$ This is a result of Laci Pyber.

answered Oct 14, 2015 at 12:41

Igor Rivin

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