Small group number 561 of order 128

G is the group 128gp561

G has 3 minimal generators, rank 4 and exponent 8. The centre has rank 1.

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

This cohomology ring calculation is complete.

Ring structure | Completion information | Koszul information | Restriction information | Poincaré series


Ring structure

The cohomology ring has 30 generators:

There are 361 minimal relations: