Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
288 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 65 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. #13070843 | C2 | semidirect |
| 4. #13068021 | C2 | semidirect |
| 5. #13066594 | C2 | semidirect |
| 7. C11×#1362 | C2 | semidirect |
| 88. #1362 | D11 | semidirect |
| 207. C11 | #12387 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081606 | 2 |
| #13070843 | 2 |
| #13070764 | 2 |
| #13068021 | 2 |
| #13066594 | 2 |
| #13066576 | 2 |
| C11×#1362 | 2 |
| #12387 | 11 |