Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
356 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 61 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. #13070698 | C2 | semidirect |
| 3. #13070697 | C2 | semidirect |
| 4. #13068234 | C2 | semidirect |
| 5. #13066654 | C2 | semidirect |
| 6. #13066590 | C2 | semidirect |
| 7. C11×#1335 | C2 | semidirect |
| 106. #1335 | D11 | semidirect |
| 239. C11 | #12313 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13080421 | 2 |
| #13070698 | 2 |
| #13070697 | 2 |
| #13068234 | 2 |
| #13066654 | 2 |
| #13066590 | 2 |
| C11×#1335 | 2 |
| #12313 | 11 |