Abelian group, Order(G) = 32, Hall-Senior number = 1

Group #1: Abelian(2,2,2,2,2)

Magma small group library number: 51

Cohomology ring P = H^*(G) is a
Polynomial ring in variables: [ z, y, x, w, v ]
in degrees: 1, 1, 1, 1, 1

SUPERGROUPS AND SUPERQUOTIENTS
The subindices indicate multiplicities.
This group is a maximal subgroup of the non-abelian groups
of order 64 and Hall-Senior numbers: 12₂ , 15 , 68 , 81
This group is a maximal quotient of the non-abelian groups
of order 64 and Hall-Senior numbers: 12 , 13 , 14 , 103 , 104 , 105