${\mathrm{𝑆𝐿}}_2(F_3)$

The special linear group over the finite field ${𝔽}_3$ is represented by${\mathrm{𝑆𝐿}}_2({𝔽}_3)$and consists of the $2\times 2$ invertible matrices with determinant equal to $1$ and whose entries belong to ${𝔽}_3$.