Higman-Sims group

Definition
This group, denoted HS, and termed the Higman-Sims group, is one of the member of family::sporadic simple groups and was discovered by Higman and Sims. It has order:

$$\! 44352000 = 2^9 \cdot 3^2 \cdot 5^3 \cdot 7 \cdot 11$$