G = E128+ is Extraspecial 2-group of order 128 and type +
G has 6 minimal generators, rank 4 and exponent 4. The centre has rank 1.
The 63 maximal subgroups are: 64gp264 (35x), 64gp266 (28x).
There are 30 conjugacy classes of maximal elementary abelian subgroups. Their ranks are: 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4.
At present no information on the cohomology ring.