Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
418 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 1. #13068367 | C2 | semidirect |
| 2. #13067379 | C2 | semidirect |
| 3. #13067227 | C2 | semidirect |
| 4. #13067124 | C2 | semidirect |
| 7. C11×#500 | C4 | semidirect |
| 8. C11×#493 | C4 | semidirect |
| 9. C11×#486 | C4 | semidirect |
| 123. #500 | Dic11 | semidirect |
| 124. #493 | Dic11 | semidirect |
| 125. #486 | Dic11 | semidirect |
| 224. C11 | #9764 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13068367 | 2 |
| #13067379 | 2 |
| #13067227 | 2 |
| #13067124 | 2 |
| C11×#3169 | 2 |
| #9764 | 11 |