Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
1050 conjugacy classes of subgroups; only the 259 normal subgroups are shown.
This group has 1050 conjugacy classes of subgroups — too many to draw. Only its 259 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. #13071342 | C2 | semidirect |
| 2. #13069441 | C2 | semidirect |
| 3. #13068966 | C2 | semidirect |
| 4. #13068747 | C2 | semidirect |
| 5. #13068367 | C2 | semidirect |
| 10. C11×#493 | C4 | semidirect |
| 24. C2×C11×D8 | C2×C4 | semidirect |
| 27. C11×#127 | C2×C4 | semidirect |
| 35. C4×C8×C11 | C2×C4 | semidirect |
| 95. #493 | Dic11 | semidirect |
| 122. C2×D8 | C2×Dic11 | semidirect |
| 126. #127 | C2×Dic11 | semidirect |
| 135. C4×C8 | C2×Dic11 | semidirect |
| 166. C11 | #22276 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13071342 | 2 |
| #13069441 | 2 |
| #13068966 | 2 |
| #13068747 | 2 |
| #13068367 | 2 |
| C2×C11×#493 | 2 |
| #22276 | 11 |