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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 (list; graph; refs; listen; history; text; internal format)
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..12.

J. Poland, Finite groups with a given number of conjugate classes<, Canad. J. Math. 20 1968 456-464.

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 (1985), No. 4.

Antonio Vera Lopez and Juan Vera Lopez, Classification of finite groups according to the number of conjugacy classes II, Israel J. Math. 56 (1986), no. 2, 188-221.

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.

STATUS

approved

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Last modified January 19 00:40 EST 2020. Contains 331030 sequences. (Running on oeis4.)