monster Lie algebra. Non-cyclic simple groups of small order (Complete for orders less than 100,000) lists the 56 non-cyclic simple groups of order less than a million. See also List of small groups Notes References Further reading Simple Groups of Lie Type by Roger W. Carter, Conway, J. H.; Curtis, R. T.; Norton, S. P.; Parker, R. A.; and Wilson, R. A.: "Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups." Oxford, England 1985. Daniel Gorenstein, Richard Lyons, Ronald Solomon The Classification of the Finite Simple Groups (volume 1), AMS, 1994 (volume 3), AMS, 1998 Atlas of Finite Group Representations: contains representations and other data for many finite simple groups, including the sporadic groups. Orders of non abelian simple groups up to 1010, and on to 1048 with restrictions on rank. External links Orders of non abelian simple groups up to order 10,000,000,000. Mathematics-related lists Group theory Sporadic groups