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A073043
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Number of nonisomorphic (finite) groups with n conjugacy classes.
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5
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1, 1, 2, 4, 8, 8, 12, 21, 26, 37, 35, 51, 53, 92
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OFFSET
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1,3
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REFERENCES
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E. K. Annavaddar, Determination of the Finite Groups Having Eight Conjugacy Classes. Ph.D. Diss., Arizona State Univ., 1971.
I. M. Isaacs, Algebra, Brooks/Cole, 1994; pp. 48-49 (for n = 4).
T. Y. Lam, Exercises in Classical Ring Theory, Springer, 1995; pp. 92-93 (for n=1,2,3).
A. Vera-López and J. Vera-López, Classification of finite groups according to the number of conjugacy classes, Israel J. Math. 51 (1985), 305-338.
A. Vera-López and J. Vera-López, Classification of finite groups according to the number of conjugacy classes II, Israel J. Math. 56 (1986), 188-221.
A. Vera-López and J. Sangroniz, The finite groups with thirteen and fourteen conjugacy classes, Math. Nachr. 280 (2007), No. 5-6, 676-694.
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LINKS
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FORMULA
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EXAMPLE
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n=1: C_1; n=2: C_2; n=3: A_3 or S_3; n=4: C_2 X C_2, C_4, A_4, D_10.
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CROSSREFS
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KEYWORD
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nonn,nice,more,hard
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AUTHOR
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EXTENSIONS
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Corrected and extended by A. S. Muktibodh (amukti2000(AT)yahoo.com), Nov 07 2006
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STATUS
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approved
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