Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
488 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 488 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 |
|---|---|---|
| 2. #13077755 | C2 | semidirect |
| 3. #13069414 | C2 | semidirect |
| 4. #13067060 | C2 | semidirect |
| 5. #13066515 | C2 | semidirect |
| 6. #13066467 | C2 | semidirect |
| 7. C11×#1524 | C2 | semidirect |
| 150. #1524 | D11 | semidirect |
| 373. C11 | #9052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13078659 | 2 |
| #13077755 | 2 |
| #13069414 | 2 |
| #13067060 | 2 |
| #13066515 | 2 |
| #13066467 | 2 |
| C11×#1524 | 2 |
| #9052 | 11 |