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There are textbooks and other references that present tables of how many distinct (non-isomorphic) groups exist for each order, for a reasonable range of integers such as n = 1, 2, 3, ... 30. Such a thing here would be a valuable example of concrete information, rather than abstrct wandering around
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To echo the comments of
Charles Matthews from 2004 and the follow-up in 2007, finite group theory is a well established subject. Focusing entirely on the number of finite groups of given order is misleading.
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I don't see any utility in listing the numbers of isomorphism classes of groups of small order, especially since the groups themselves have been listed elsewhere.
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For example with n = 8, there is the cyclic abelian group that can be illustated as the one that consists of the eight eighth=roots of -1. Also, there is the
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OK ( three years later): The section on number of groups with a given set was incorrect, so I have replaced it.
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about permutation groups, cyclic groups, etc. Instead it rants on about the the number of groups with
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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elements. The introduction is fine, but after that there is virtually no good information shown.
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Upon further investigation, it is found that there are three abelian groups here, including two
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183:(wondering around?) about the subject. Such a table should be provided here.
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