Small group number 254 of order 64

G is the group 64gp254

The Hall-Senior number of this group is 110.

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

The 15 maximal subgroups are: 32gp37, 32gp39 (2x), 32gp40 (2x), 32gp43 (8x), 32gp46, 32gp48.

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