| Group #2: Abelian(4,2,2) |
| Magma small group library number: 10 |
| Cohomology ring P = H*(G) is a quotient of | |||
| Polynomial ring in variables: z , y , x , w | |||
| in degrees: 1 , 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: 8 , 93 , 103 , 112 , 123 , 13 , 142 , 16 , 183 , 20 , 36 , 37 , 38 | |||
| This group is a maximal quotient of the non-abelian groups | |||
| of order 32 and Hall-Senior numbers: 11 , 12 , 13 , 14 , 15 , 16 , 17 |