Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
432 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13069339 | C2 | semidirect |
| 3. #13067387 | C2 | semidirect |
| 6. #13066518 | C2 | semidirect |
| 7. C11×#1281 | C2 | semidirect |
| 109. #1281 | D11 | semidirect |
| 266. C11 | #8880 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077335 | 2 |
| #13069339 | 2 |
| #13067387 | 2 |
| #13067112 | 2 |
| #13067016 | 2 |
| #13066518 | 2 |
| C11×#1281 | 2 |
| #8880 | 11 |