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It has recently been conjectured that the elliptic genus of K3 can be written in terms of dimensions of Mathieu group M24 representations.
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M.C.N. Cheng, K3 Surfaces, N=4 dyons, and the Mathieu group M 24 M_{24} ,
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M. R. Gaberdiel, S. Hohenegger, R. Volpato, Mathieu twining characters for K3,
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T. Eguchi, H. Ooguri and Y. Tachikawa, Notes on the K3 surface and the Mathieu group M 24 M_{24}
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M.R. Gaberdiel, S. Hohenegger and R. Volpato, work in progress
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http://www.research.att.com/ ~ \tilde{\phantom{w}} njas/sequences/
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2011
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T. Eguchi, K. Hikami, Note on Twisted Elliptic Genus of K3 Surface,
2011
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