G is the group 64gp92
The Hall-Senior number of this group is 124.
G has 3 minimal generators, rank 4 and exponent 8. The centre has rank 2.
The 7 maximal subgroups are: 32gp37 (2x), 32gp46, 32gp7 (4x).
There are 2 conjugacy classes of maximal elementary abelian subgroups. Their ranks are: 4, 4.
At present no information on the cohomology ring.