This is about a group related to $U(n,q)$ and $SU(n,q)$. I know from multiple sources the generators for these groups, but $U(n,q)$ is defined to be the group of matrices $A$ such that $A^*JA = J$ where $A^*$ means the conjugate transpose of $A$, and $J$ is the identity on the secondary diagonal. And with conjugate I mean the frobenius over $\mathbb{F}_{q^2}$. At least this is the definition I encountered when using packages like Sage, Magma, Gap, etc.
What I am specifically searching for are the generators for the group of matrices $A \in SL(3,\mathbb{F}_9)$ such that $A^*A = I$. Or maybe a transformation that sends matrices in $SU(3,3)$ to matrices of this kind.