| Group #3: Abelian(4,4,2) |
| Magma small group library number: 21 |
| Cohomology ring P = H*(G) is a quotient of | |||
| Polynomial ring in variables: z , y , x , w , v | |||
| in degrees: 1 , 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: 18 , 193 , 202 , 23 , 25 , 273 , 282 , 293 , 303 , 31 , 33 , 37 , 51 , 60 , 69 , 70 , 74 , 75 , 76 , 78 , 79 , 80 , 82 , 85 , 87 , 88 , 90 , 91 , 92 , 93 , 95 , 98 | |||
| This group is a maximal quotient of the non-abelian groups | |||
| of order 64 and Hall-Senior numbers: 22 , 23 , 28 , 29 , 30 , 31 , 32 |