Sporadic groups

Baby monster group

In the area of modern algebra known as group theory, the baby monster group B (or, more simply, the baby monster) is a sporadic simple group of order 241 · 313 · 56 · 72 · 11 · 13 · 17 · 19 · 23 · 31 · 47= 4154781481226426191177580544000000= 4,154,781,481,226,426,191,177,580,544,000,000≈ 4×1033. B is one of the 26 sporadic groups and has the second highest order of these, with the highest order being that of the monster group. The double cover of the baby monster is the centralizer of an element of order 2 in the monster group. The outer automorphism group is trivial and the Schur multiplier has order 2. (Wikipedia).

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Related pages

Character table | Order (group theory) | Monster group | Group representation | Griess algebra | Monstrous moonshine | Finite field | Schur multiplier | Vertex operator algebra | Group theory | Charles Sims (mathematician) | Outer automorphism group | John Horton Conway | Dedekind eta function