Fischer group:Fi22

Definition
This group, denoted $$\operatorname{Fi}_{22}$$, is one of the three Fischer groups. Fischer groups are 3-transposition groups that are not the symmetric groups or alternating group. $$\operatorname{Fi}_{22}$$ is one of the 26 sporadic simple groups that appear in the classification of finite simple groups.

The order of the group is:

$$64561751654400 = 2^{17} \cdot 3^9 \cdot 5^2 \cdot 7 \cdot 11 \cdot 13$$