Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
430 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 107 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. #20244337 | C2 | semidirect |
| 3. #20242105 | C2 | semidirect |
| 5. #20241257 | C2 | semidirect |
| 6. #20241243 | C2 | semidirect |
| 26. C47×#497 | C4 | semidirect |
| 27. C47×#491 | C4 | semidirect |
| 199. #497 | Dic47 | semidirect |
| 200. #491 | Dic47 | semidirect |
| 222. C47 | #9376 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252527 | 2 |
| #20244337 | 2 |
| #20242105 | 2 |
| #20241913 | 2 |
| #20241257 | 2 |
| #20241243 | 2 |
| C47×#3218 | 2 |
| #9376 | 47 |