Small group number 232 of order 64

G is the group 64gp232

The Hall-Senior number of this group is 163.

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

The 15 maximal subgroups are: 32gp22 (2x), 32gp24 (2x), 32gp25 (2x), 32gp27, 32gp29 (2x), 32gp30 (3x), 32gp31, 32gp33 (2x).

There are 2 conjugacy classes of maximal elementary abelian subgroups. Their ranks are: 3, 4.

At present no information on the cohomology ring.


Back to the groups of order 64