Abelian group, Order(G) = 16, Hall-Senior number = 3

Group #3: Abelian(4,4)

Magma small group library number: 2

Cohomology ring P = H^*(G) is a quotient of
Polynomial ring in variables: z , y , x , w
in degrees: 1 , 1 , 2 , 2
The ideal of relations is generated by: z² , y²

SUPERGROUPS AND SUPERQUOTIENTS
The subindices indicate multiplicities.
This group is a maximal subgroup of the non-abelian groups
of order 32 and Hall-Senior numbers: 14 , 15₃ , 16₂ , 19 , 21 , 31 , 34 , 35 , 39 , 40 , 41
This group is a maximal quotient of the non-abelian groups
of order 32 and Hall-Senior numbers: 18 , 19