| Group #4: Abelian(8,2) |
| Magma small group library number: 5 |
| Cohomology ring P = H*(G) is a quotient of | |||
| Polynomial ring in variables: z , y , x | |||
| in degrees: 1 , 1 , 2 | |||
| The ideal of relations is generated by: z2 |
| 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: 132 , 173 , 192 , 202 , 212 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 32 | |||
| This group is a maximal quotient of the non-abelian groups | |||
| of order 32 and Hall-Senior numbers: 20 , 21 , 22 |