G is the group 64gp206
The Hall-Senior number of this group is 77.
G has 4 minimal generators, rank 4 and exponent 4. The centre has rank 2.
The 15 maximal subgroups are: 32gp24, 32gp25 (4x), 32gp27 (2x), 32gp28 (2x), 32gp29 (2x), 32gp30 (2x), Ab(4,2,2,2), 32gp48.
There are 3 conjugacy classes of maximal elementary abelian subgroups. Their ranks are: 3, 3, 4.
At present no information on the cohomology ring.