Small group number 2317 of order 128

G is the group 128gp2317

G has 5 minimal generators, rank 4 and exponent 8. The centre has rank 1.

The 31 maximal subgroups are: 64gp249, 64gp254 (6x), 64gp256 (6x), 64gp257 (8x), 64gp258 (8x), 64gp264, 64gp266.

There are 9 conjugacy classes of maximal elementary abelian subgroups. Their ranks are: 3, 3, 3, 3, 3, 3, 4, 4, 4.

At present no information on the cohomology ring.


Back to the groups of order 128