Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
390 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13067167 | C2 | semidirect |
| 4. #13067037 | C2 | semidirect |
| 5. #13066482 | C2 | semidirect |
| 6. #13066477 | C2 | semidirect |
| 10. C11×#501 | C4 | semidirect |
| 11. C11×#501 | C4 | semidirect |
| 12. C11×#489 | C4 | semidirect |
| 13. C11×#489 | C4 | semidirect |
| 175. #501 | Dic11 | semidirect |
| 176. #501 | Dic11 | semidirect |
| 177. #489 | Dic11 | semidirect |
| 178. #489 | Dic11 | semidirect |
| 321. C11 | #9369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077603 | 2 |
| #13067193 | 2 |
| #13067167 | 2 |
| #13067037 | 2 |
| #13066482 | 2 |
| #13066477 | 2 |
| C11×#3240 | 2 |
| #9369 | 11 |