Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
442 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13070363 | C2 | semidirect |
| 3. #13070353 | C2 | semidirect |
| 4. #13070352 | C2 | semidirect |
| 5. #13069367 | C2 | semidirect |
| 6. #13066695 | C2 | semidirect |
| 7. C11×#2148 | C2 | semidirect |
| 68. #66881 | D4 | semidirect |
| 135. #2148 | D11 | semidirect |
| 323. C11 | #13416 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079059 | 2 |
| #13070363 | 2 |
| #13070353 | 2 |
| #13070352 | 2 |
| #13069367 | 2 |
| #13066695 | 2 |
| C11×#2148 | 2 |
| #13416 | 11 |