Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
408 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 71 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. #20245053 | C2 | semidirect |
| 3. #20241549 | C2 | semidirect |
| 4. #20241546 | C2 | semidirect |
| 5. C47×#2132 | C2 | semidirect |
| 8. #15689673 | C4 | semidirect |
| 9. #15689518 | C4 | semidirect |
| 12. #15689513 | C4 | semidirect |
| 16. C2×#13093935 | C4 | semidirect |
| 168. #2132 | D47 | semidirect |
| 195. C47 | #13577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253833 | 2 |
| #20245053 | 2 |
| #20241549 | 2 |
| #20241546 | 2 |
| C47×#2132 | 2 |
| #13577 | 47 |