Unitriangular matrix group:UT(3,9)

Definition
This group is the member of family::unitriangular matrix group of degree three (i.e., the group of $$3 \times 3$$ upper-triangular matrices with $$1$$s on the diagonal) over the field of nine elements. It is isomorphic to the 3-Sylow subgroup of general linear group:GL(3,9), special linear group:SL(3,9), projective general linear group:PGL(3,9), projective special linear group:PSL(3,9).