| |
| | Conway group (Site not responding. Last check: 2007-11-03) |
 | | The largest,Co (of order 8,315,553,613,086,720,000), is obtained by dividing the automorphism group of Λ by its center, which consists of the scalar matrices ±1. |
 | | The groups Co (of order 42,305,421,312,000)and Co (of order 495,766,656,000) consist of the automorphisms of Λ fixing a lattice vector of length 2 and avector of √6 respectively. |
 | | The groups Co and Co both contain the McLaughlin group McL (of order 898,128,000) andthe Higman-Sims group (of order 44,352,000), which can be described as the pointwise stabilizers of a2-2-√6 triangle and a 2-√6-√6 triangle respectively. |
| www.therfcc.org /conway-group-282319.html (232 words) |
|