G is the group 128gp1800
G has 4 minimal generators, rank 4 and exponent 8. The centre has rank 1.
The 15 maximal subgroups are: 64gp111, 64gp152 (4x), 64gp153 (4x), 64gp249, 64gp254 (2x), 64gp256, 64gp92, 64gp94.
There are 3 conjugacy classes of maximal elementary abelian subgroups. Their ranks are: 3, 3, 4.
At present no information on the cohomology ring.