Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
444 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13077596 | C2 | semidirect |
| 3. #13067248 | C2 | semidirect |
| 4. #13067058 | C2 | semidirect |
| 5. #13066956 | C2 | semidirect |
| 6. #13066489 | C2 | semidirect |
| 7. C11×#1308 | C2 | semidirect |
| 142. #1308 | D11 | semidirect |
| 340. C11 | #9532 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13078756 | 2 |
| #13077596 | 2 |
| #13067248 | 2 |
| #13067058 | 2 |
| #13066956 | 2 |
| #13066489 | 2 |
| C11×#1308 | 2 |
| #9532 | 11 |