Small group number 50 of order 64

G = Ab(32,2) is Abelian group C₃₂ x C₂

The Hall-Senior number of this group is 10.

This cohomology ring calculation is complete.

Ring structure

The cohomology ring has 3 generators:

• y₁ in degree 1
• y₂ in degree 1
• x in degree 2

There is one minimal relation:

• y₁² = 0

This minimal generating set constitutes a Gröbner basis for the relations ideal.