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A002319
Order of largest (finite) group with n conjugacy classes.
(Formerly M1592 N0621)
4
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
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
KEYWORD
nonn,nice,more
EXTENSIONS
a(13)-a(14) computed from Vera-Lopez--Sangroniz (2007) results by Ed Bertram, communicated by Max Alekseyev, Jul 04 2020
STATUS
approved