Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
482 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 93 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. #20246034 | C2 | semidirect |
| 5. #20241834 | C2 | semidirect |
| 6. #20241280 | C2 | semidirect |
| 7. C47×#1285 | C2 | semidirect |
| 11. #15689419 | C4 | semidirect |
| 12. #15689324 | C4 | semidirect |
| 181. #1285 | D47 | semidirect |
| 209. C47 | #9330 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253511 | 2 |
| #20246034 | 2 |
| #20244306 | 2 |
| #20241897 | 2 |
| #20241834 | 2 |
| #20241280 | 2 |
| C47×#1285 | 2 |
| #9330 | 47 |