G is the group 64gp18
The Hall-Senior number of this group is 180.
G has 2 minimal generators, rank 3 and exponent 8. The centre has rank 1.
The 3 maximal subgroups are: 32gp24 (2x), 32gp37.
There is one conjugacy class of maximal elementary abelian subgroups. Each maximal elementary abelian has rank 3.
At present no information on the cohomology ring.