Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
458 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 95 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. #20252478 | C2 | semidirect |
| 3. #20243221 | C2 | semidirect |
| 6. #20241286 | C2 | semidirect |
| 7. C47×#1285 | C2 | semidirect |
| 11. #15689419 | C4 | semidirect |
| 12. #15689419 | C4 | semidirect |
| 13. #15689324 | C4 | semidirect |
| 14. #15689324 | C4 | semidirect |
| 204. #1285 | D47 | semidirect |
| 236. C47 | #9164 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253511 | 2 |
| #20252478 | 2 |
| #20243221 | 2 |
| #20242000 | 2 |
| #20241882 | 2 |
| #20241286 | 2 |
| C47×#1285 | 2 |
| #9164 | 47 |