Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
582 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 582 conjugacy classes of subgroups — too many to draw. Only its 147 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. #13070868 | C2 | semidirect |
| 4. #13070844 | C2 | semidirect |
| 5. #13070843 | C2 | semidirect |
| 6. #13070664 | C2 | semidirect |
| 9. C11×#2247 | C2 | semidirect |
| 125. #2247 | D11 | semidirect |
| 150. C4×D11 | Q32 | semidirect |
| 289. C11 | #33775 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079200 | 2 |
| D11×#494 | 2 |
| #13070868 | 2 |
| #13070844 | 2 |
| #13070843 | 2 |
| #13070664 | 2 |
| #13070548 | 2 |
| #13070413 | 2 |
| C11×#2247 | 2 |
| #33775 | 11 |