Seed

"This outer automorphism [of S6] can be regarded as the seed
from which grow about half of the sporadic simple groups,
starting with the Mathieu groups M12 and M24."

Feb. 28 (Mardi Gras), 2006.
 
Related material:

Log24, Jan. 1-15, 2006.
 

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For details, click on the Six of One.