Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
502 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 502 conjugacy classes of subgroups — too many to draw. Only its 89 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #20252458 | C2 | semidirect |
| 3. #20242048 | C2 | semidirect |
| 4. #20241858 | C2 | semidirect |
| 5. #20241856 | C2 | semidirect |
| 6. #20241287 | C2 | semidirect |
| 7. C47×#1302 | C2 | semidirect |
| 169. #1302 | D47 | semidirect |
| 195. C47 | #9007 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253834 | 2 |
| #20252458 | 2 |
| #20242048 | 2 |
| #20241858 | 2 |
| #20241856 | 2 |
| #20241287 | 2 |
| C47×#1302 | 2 |
| #9007 | 47 |