Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
430 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 430 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 |
|---|---|---|
| 3. #20242105 | C2 | semidirect |
| 5. #20241258 | C2 | semidirect |
| 6. #20241244 | C2 | semidirect |
| 7. C47×#1987 | C2 | semidirect |
| 9. #15689515 | C4 | semidirect |
| 10. #15689491 | C4 | semidirect |
| 186. #1987 | D47 | semidirect |
| 222. C47 | #9376 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254415 | 2 |
| #20252524 | 2 |
| #20242105 | 2 |
| #20241911 | 2 |
| #20241258 | 2 |
| #20241244 | 2 |
| C47×#1987 | 2 |
| #9376 | 47 |