Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
448 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 448 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. #13077691 | C2 | semidirect |
| 3. #13067228 | C2 | semidirect |
| 4. #13067227 | C2 | semidirect |
| 5. #13066479 | C2 | semidirect |
| 6. #13066446 | C2 | semidirect |
| 7. C11×#1496 | C2 | semidirect |
| 118. #1496 | D11 | semidirect |
| 288. C11 | #9283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079545 | 2 |
| #13077691 | 2 |
| #13067228 | 2 |
| #13067227 | 2 |
| #13066479 | 2 |
| #13066446 | 2 |
| C11×#1496 | 2 |
| #9283 | 11 |