Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
468 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 135 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. #13070891 | C2 | semidirect |
| 3. #13070823 | C2 | semidirect |
| 4. #13070758 | C2 | semidirect |
| 5. #13070704 | C2 | semidirect |
| 7. #13070397 | C2 | semidirect |
| 8. C4×C11×Q32 | C2 | semidirect |
| 84. C4×Q32 | D11 | semidirect |
| 190. C11 | #33909 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081048 | 2 |
| #13070891 | 2 |
| #13070823 | 2 |
| #13070758 | 2 |
| #13070704 | 2 |
| C16×D44 | 2 |
| #13070397 | 2 |
| C4×C11×Q32 | 2 |
| #33909 | 11 |