| Group #2: Abelian(4,2,2,2) |
| Magma small group library number: 45 |
| Cohomology ring P = H*(G) is a quotient of | |||
| Polynomial ring in variables: z , y , x , w , v | |||
| in degrees: 1 , 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 64 and Hall-Senior numbers: 12 , 133 , 143 , 152 , 163 , 17 , 182 , 20 , 223 , 24 , 28 , 71 , 72 , 73 , 77 , 83 , 84 , 86 , 89 , 94 | |||
| This group is a maximal quotient of the non-abelian groups | |||
| of order 64 and Hall-Senior numbers: 15 , 16 , 17 , 18 , 19 , 20 , 21 , 27 , 106 , 107 , 108 , 109 |