Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
468 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. #20243488 | C2 | semidirect |
| 4. #20243457 | C2 | semidirect |
| 5. #20241276 | C2 | semidirect |
| 6. #20241236 | C2 | semidirect |
| 10. #15689456 | C4 | semidirect |
| 11. #15689451 | C4 | semidirect |
| 13. #15689439 | C4 | semidirect |
| 14. #15689434 | C4 | semidirect |
| 264. C47 | #9038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253297 | 2 |
| #20252436 | 2 |
| #20243488 | 2 |
| #20243457 | 2 |
| #20241276 | 2 |
| #20241236 | 2 |
| C47×#1501 | 2 |
| #9038 | 47 |