Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
456 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 1. #13077692 | C2 | semidirect |
| 2. #13067124 | C2 | semidirect |
| 3. #13067124 | C2 | semidirect |
| 4. #13067085 | C2 | semidirect |
| 5. #13066478 | C2 | semidirect |
| 6. #13066444 | C2 | semidirect |
| 10. C11×#493 | C4 | semidirect |
| 11. C11×#492 | C4 | semidirect |
| 12. C11×#487 | C4 | semidirect |
| 13. C11×#486 | C4 | semidirect |
| 162. #493 | Dic11 | semidirect |
| 163. #492 | Dic11 | semidirect |
| 164. #487 | Dic11 | semidirect |
| 165. #486 | Dic11 | semidirect |
| 291. C11 | #9281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077692 | 2 |
| #13067124 | 2 |
| #13067085 | 2 |
| #13066478 | 2 |
| #13066444 | 2 |
| C11×#3207 | 2 |
| #9281 | 11 |