G is the group 128gp801
G has 3 minimal generators, rank 4 and exponent 8. The centre has rank 1.
The 7 maximal subgroups are: 64gp111 (3x), 64gp19, 64gp92 (3x).
There are 2 conjugacy classes of maximal elementary abelian subgroups. Their ranks are: 4, 4.
At present no information on the cohomology ring.