A340514 a(n) is the minimal order of a group in which all groups of order n can be embedded.
1, 2, 3, 8, 5, 12, 7, 32, 27, 20, 11, 144, 13, 28, 15, 256, 17, 216, 19, 160, 63, 44, 23
Offset: 1
References
- Heffernan, Robert, Des MacHale, and Brendan McCann. "Cayley's Theorem Revisited: Embeddings of Small Finite Groups." Mathematics Magazine 91.2 (2018): 103-111.
Links
- Heffernan, Robert, Des MacHale, and Brendan McCann, Minimal embeddings of small finite groups, arXiv:1706.09286 [math.GR], Jun 28 2017.
- MathStackExchange, How powerful is Cayley's theorem?, Oct 07 2021.
Formula
From David A. Craven, Oct 07 2021: (Start)
a(p)=p, a(p^2)=p^3, a(p^3)=p^6 if p is odd, a(8)=32.
If p
Extensions
a(16)-a(23) from David A. Craven, Oct 07 2021