G is the group 128gp934
G has 3 minimal generators, rank 4 and exponent 8. The centre has rank 1.
The 7 maximal subgroups are: 64gp135 (3x), Syl2(L3(4)), 64gp36 (3x).
There are 2 conjugacy classes of maximal elementary abelian subgroups. Their ranks are: 2, 4.
At present no information on the cohomology ring.