A023675 Table of orders of primitive permutation groups by degree.

1, 2, 3, 6, 12, 24, 5, 10, 20, 60, 120, 60, 120, 360, 720, 7, 14, 21, 42, 168, 2520, 5040, 56, 168, 168, 336, 1344, 20160, 40320, 36, 72, 72, 72, 144, 216, 432, 504, 1512, 181440, 362880, 60, 120, 360, 720, 720, 720, 1440, 1814400, 3628800, 11

Offset

1,2

References

M. Pohst and H. Zassenhaus, Algorithmic Algebraic Number Theory, Cambridge Univ. Press, 1989. Appendix: Numerical Tables, p. 428.

CRC Handbook of Combinatorial Designs, 1996, pp. 595ff.

Links

Table of n, a(n) for n=1..50.

Francis Buekenhout and Dimitri Leemans, On the List of Finite Primitive Permutation Groups of Degree <= 50, J. Symbolic Computation, 22 (1996), 215-225.

Index entries for sequences related to groups

Example

{1}, {2}, {3,6}, {12,24}, {5,10,20,60,120}, ...

Prog

(GAP)
Print([1], List([2..10], n->List(AllPrimitiveGroups(NrMovedPoints, n), Size))); # Andrei Zabolotskii, May 04 2026

Crossrefs

Row lengths are A000019.

Cf. A023676.

Sequence in context: A383471 A306809 A103341 * A029996 A294123 A321048

Adjacent sequences: A023672 A023673 A023674 * A023676 A023677 A023678

Keyword

nonn,tabf,nice

Author

N. J. A. Sloane

Status

approved