G is the group 64gp199
The Hall-Senior number of this group is 106.
G has 4 minimal generators, rank 4 and exponent 4. The centre has rank 2.
The 15 maximal subgroups are: 32gp22 (4x), 32gp24 (2x), 32gp25 (8x), 32gp46.
There are 2 conjugacy classes of maximal elementary abelian subgroups. Their ranks are: 4, 4.
At present no information on the cohomology ring.