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Timeline for Lists of small groups

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Aug 30, 2021 at 9:58 history made wiki Post Made Community Wiki by Stefan Kohl
Apr 28, 2011 at 3:35 comment added Allen Knutson I know I saw a book entitled "Groups of order $2^n$, $n\leq 6$" in a library; it is referenced in the Wikipedia article in the accepted answer.
Apr 28, 2011 at 1:35 comment added Maxime Bourrigan For nilpotent groups, you will quickly be disappointed. Every 2-group is nilpotent, and the number of those grows very fast. Conway's article "Counting groups: gnus, moas and other exotica" www.math.auckland.ac.nz/~obrien/research/gnu.pdf gives some numbers: for n=256, the number of groups of order n is already way over 9000, for 1024 it is 49487365422 and for 2048, the exact number is already unknown, but it is more than 1774274116992170. So your "reasonably big n" cannot be that big. For simple groups, I'm sure you'll enjoy madore.org/~david/math/simplegroups.html
Apr 27, 2011 at 23:42 answer added Jim Humphreys timeline score: 6
Apr 27, 2011 at 18:10 vote accept Thomas Connor
Apr 27, 2011 at 17:04 comment added Mariano Suárez-Álvarez You can get GAP from its webpage at gap-system.org
Apr 27, 2011 at 17:04 answer added Ralph timeline score: 7
Apr 27, 2011 at 17:02 comment added Mariano Suárez-Álvarez Install GAP: it has a library of all small groups, and knows those properties.
Apr 27, 2011 at 16:45 history asked Thomas Connor CC BY-SA 3.0