A002319 Order of largest (finite) group with n conjugacy classes. (Formerly M1592 N0621)

1, 2, 6, 12, 60, 168, 360, 720, 2520, 20160, 29120, 443520, 1944, 126000

Offset

1,2

References

E. K. Annavaddar, Determination of the Finite Groups Having Eight Conjugacy Classes. Ph.D. Diss., Arizona State Univ., 1971.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=1..14.

J. Poland, Finite groups with a given number of conjugate classes, Canad. J. Math. 20 (1968), 456-464. (Annotated scanned copy)

Antonio Vera Lopez and Juan Vera Lopez, Classification of finite groups according to the number of conjugacy classes, Israel Journal of Mathematics, 51:4 (1985), 305-338.

Antonio Vera Lopez and Juan Vera Lopez, Classification of finite groups according to the number of conjugacy classes II, Israel J. Math. 56:2 (1986), 188-221.

A. Vera-Lopez and J. Sangroniz, The finite groups with thirteen and fourteen conjugacy classes, Math. Nach. 280:5-6 (2007), 676-694.

Crossrefs

Cf. A003061, A073043, A006379.

Sequence in context: A161887 A139315 A014767 * A195307 A101657 A104371

Adjacent sequences: A002316 A002317 A002318 * A002320 A002321 A002322

Keyword

nonn,nice,more

Author

N. J. A. Sloane

Extensions

a(13)-a(14) computed from Vera-Lopez--Sangroniz (2007) results by Ed Bertram, communicated by Max Alekseyev, Jul 04 2020

Status

approved