Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
396 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13067379 | C2 | semidirect |
| 3. #13067230 | C2 | semidirect |
| 5. #13067127 | C2 | semidirect |
| 7. C11×#1746 | C2 | semidirect |
| 17. #10622307 | C4 | semidirect |
| 18. #10622306 | C4 | semidirect |
| 21. #10622294 | C4 | semidirect |
| 22. #10622293 | C4 | semidirect |
| 120. #1746 | D11 | semidirect |
| 294. C11 | #9766 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079175 | 2 |
| #13067379 | 2 |
| #13067230 | 2 |
| #13067226 | 2 |
| #13067127 | 2 |
| #13067123 | 2 |
| C11×#1746 | 2 |
| #9766 | 11 |