Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
400 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 400 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 |
|---|---|---|
| 3. #13069606 | C2 | semidirect |
| 5. #13066526 | C2 | semidirect |
| 6. #13066487 | C2 | semidirect |
| 7. C11×#1556 | C2 | semidirect |
| 128. #1556 | D11 | semidirect |
| 302. C11 | #9338 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079837 | 2 |
| #13077788 | 2 |
| #13069606 | 2 |
| #13067224 | 2 |
| #13066526 | 2 |
| #13066487 | 2 |
| C11×#1556 | 2 |
| #9338 | 11 |