Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
456 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 456 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. #20246493 | C2 | semidirect |
| 3. #20242014 | C2 | semidirect |
| 5. #20241281 | C2 | semidirect |
| 6. #20241280 | C2 | semidirect |
| 9. #15689491 | C4 | semidirect |
| 10. #15689487 | C4 | semidirect |
| 220. C47 | #9442 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253788 | 2 |
| #20246493 | 2 |
| #20242014 | 2 |
| #20241896 | 2 |
| #20241281 | 2 |
| #20241280 | 2 |
| C47×#1505 | 2 |
| #9442 | 47 |