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A340515 a(n) = minimal order of a group in which all groups of order <= n can be embedded. 2
1, 2, 6, 24, 120, 120, 840, 3360, 30240, 30240, 332640, 665280, 8648640, 8648640, 8648640 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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

Table of n, a(n) for n=1..15.

Heffernan, Robert, Des MacHale, and Brendan McCann, Minimal embeddings of small finite groups, arXiv:1706.09286 [math.GR], Jun 28 2017.

CROSSREFS

Cf. A000001, A340514.

A340516 is a lower bound.

Sequence in context: A319545 A066616 A340516 * A308819 A319206 A190393

Adjacent sequences:  A340512 A340513 A340514 * A340516 A340517 A340518

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane, Feb 02 2021

STATUS

approved

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Last modified June 29 14:46 EDT 2022. Contains 354913 sequences. (Running on oeis4.)