What are the explicit generators and relations for type $B_3$ Weyl group? Thank you very much.
Edit: type $B_3$ Weyl group $G$ is $(\mathbb{Z}/2\mathbb{Z})^{3} \rtimes S_3$, so the order of $G$ is $48$. Type $B_2$ Weyl group can be written as $ \{ s_1, s_2 \mid s_1^2=s_2^2=1, (s_1s_2)^4=1 \}. $ How can we write $G$ in this way?