Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
504 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 143 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 |
|---|---|---|
| 3. #13070896 | C2 | semidirect |
| 4. #13070868 | C2 | semidirect |
| 5. #13070844 | C2 | semidirect |
| 7. #13070484 | C2 | semidirect |
| 9. C11×#2241 | C2 | semidirect |
| 119. #2241 | D11 | semidirect |
| 270. C11 | #33749 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079203 | 2 |
| #13079200 | 2 |
| #13070896 | 2 |
| #13070868 | 2 |
| #13070844 | 2 |
| #13070723 | 2 |
| #13070484 | 2 |
| C4×#66862 | 2 |
| C11×#2241 | 2 |
| #33749 | 11 |