Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
578 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 578 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 |
|---|---|---|
| 3. #13070863 | C2 | semidirect |
| 4. #13070862 | C2 | semidirect |
| 5. #13070861 | C2 | semidirect |
| 6. #13070842 | C2 | semidirect |
| 9. C11×#2245 | C2 | semidirect |
| 113. #2245 | D11 | semidirect |
| 252. C11 | #33705 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079129 | 2 |
| D11×#494 | 2 |
| #13070863 | 2 |
| #13070862 | 2 |
| #13070861 | 2 |
| #13070842 | 2 |
| #13070334 | 2 |
| #13070209 | 2 |
| C11×#2245 | 2 |
| #33705 | 11 |