Small group number 99 of order 64

G is the group 64gp99

The Hall-Senior number of this group is 113.

G has 3 minimal generators, rank 4 and exponent 8. The centre has rank 2.

The 7 maximal subgroups are: 32gp24, 32gp37, 32gp46, 32gp9 (4x).

There is one conjugacy class of maximal elementary abelian subgroups. Each maximal elementary abelian has rank 4.

At present no information on the cohomology ring.


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