G is the group 64gp153
The Hall-Senior number of this group is 256.
G has 3 minimal generators, rank 3 and exponent 8. The centre has rank 1.
The 7 maximal subgroups are: 32gp15, 32gp38, 32gp39, 32gp43 (2x), 32gp7 (2x).
There are 3 conjugacy classes of maximal elementary abelian subgroups. Their ranks are: 2, 3, 3.
At present no information on the cohomology ring.