| Group #5: Abelian(8,4) |
| Magma small group library number: 3 |
| 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 64 and Hall-Senior numbers: 312 , 322 , 332 , 34 , 353 , 383 , 39 , 41 , 55 , 56 , 57 , 58 , 62 , 63 , 64 , 65 , 67 , 100 , 101 , 102 , 188 , 189 , 190 , 191 , 192 , 193 , 194 , 198 , 199 , 200 | |||
| This group is a maximal quotient of the non-abelian groups | |||
| of order 64 and Hall-Senior numbers: 37 , 38 , 39 |