Baby Monster group

In mathematics, the Baby Monster group B (or just Baby Monster) is a group of order

   2⁴¹ · 3¹³ · 5⁶ · 7² · 11 · 13 · 17 · 19 · 23 · 31 · 47

= 4154781481226426191177580544000000

≈ 4 · 10³³.

The Baby Monster group is one of the 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 in fact a subgroup of the Monster group.

The smallest faithful matrix representation of the Baby Monster is of size 4370 over the finite field of order 2.

External links

• MathWorld: Baby monster group