linguistic:voice_change
Among groups

The Higman–Sims asymptotic formula states that the number of isomorphism classes of groups of order p n grows as p 2 27 n 3 + O (n 8 / 3) {\displaystyle p^{{\frac {2}{27}}n^{3}+O(n^{8/3})}}, and these are dominated by the classes that are two-step nilpotent. Because of this rapid growth, there is a folklore conjecture asserting that almost all finite groups are 2-groups: the fraction of isomorphism classes of 2-groups among isomorphism classes of groups of order at most n is thought to tend to 1 as n tends to infinity. For instance, of the 49 910 529 484 different groups of order at most 2000, 49 487 367 289, or just over 99%, are 2-groups of order 1024.