Fischer group:Fi23

Definition
This group, denoted $$\operatorname{Fi}_{23}$$, is one of the three Fischer groups. Fischer groups are 3-transposition groups that are not the symmetric groups or alternating group. $$\operatorname{Fi}_{23}$$ is one of the 26 sporadic simple groups that appear in the classification of finite simple groups.

The order of the group is:

$$4089470473293004800 = 2^{18} \cdot 3^{13} \cdot 5^2 \cdot 7 \cdot 11 \cdot 13 \cdot 17 \cdot 23$$