Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
682 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 682 conjugacy classes of subgroups — too many to draw. Only its 155 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. #13079129 | C2 | semidirect |
| 3. #13070859 | C2 | semidirect |
| 4. #13070858 | C2 | semidirect |
| 5. #13070857 | C2 | semidirect |
| 6. #13070838 | C2 | semidirect |
| 7. #13070330 | C2 | semidirect |
| 8. #13070209 | C2 | semidirect |
| 9. C11×#2244 | C2 | semidirect |
| 14. C11×#499 | C22 | semidirect |
| 22. #10622487 | C22 | semidirect |
| 27. #10622296 | C22 | semidirect |
| 28. C11×#357 | C22 | semidirect |
| 29. C11×#346 | C22 | semidirect |
| 30. #10622200 | C22 | semidirect |
| 31. #10622147 | C22 | semidirect |
| 32. C16×Dic11 | C22 | semidirect |
| 33. #10622129 | C22 | semidirect |
| 34. #10622099 | C22 | semidirect |
| 114. #2244 | D11 | semidirect |
| 153. #499 | C2×D11 | semidirect |
| 166. #357 | C2×D11 | semidirect |
| 168. #346 | C2×D11 | semidirect |
| 263. C11 | #33704 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079129 | 2 |
| D11×#493 | 2 |
| #13070859 | 2 |
| #13070858 | 2 |
| #13070857 | 2 |
| #13070838 | 2 |
| #13070330 | 2 |
| #13070209 | 2 |
| C11×#2244 | 2 |
| #33704 | 11 |