G = 81gp10xC3 is Direct product 81gp10 x C_3
G has 3 minimal generators, rank 3 and exponent 9. The centre has rank 2.
The 13 maximal subgroups are: 81gp10 (9x), Ab(9,3,3), M27xC3 (3x).
There is one conjugacy class of maximal elementary abelian subgroups. Each maximal elementary abelian has rank 3.
At present no information on the cohomology ring.