Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
484 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 139 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. #13070895 | C2 | semidirect |
| 3. #13070861 | C2 | semidirect |
| 6. #13070487 | C2 | semidirect |
| 7. Q32×Dic11 | C2 | semidirect |
| 9. C11×#2247 | C2 | semidirect |
| 88. #2247 | D11 | semidirect |
| 199. C11 | #33741 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079272 | 2 |
| #13070895 | 2 |
| #13070861 | 2 |
| #13070721 | 2 |
| #13070704 | 2 |
| #13070487 | 2 |
| Q32×Dic11 | 2 |
| #13070211 | 2 |
| C11×#2247 | 2 |
| #33741 | 11 |