Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
766 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 766 conjugacy classes of subgroups — too many to draw. Only its 111 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. #13069413 | C2 | semidirect |
| 3. #13067309 | C2 | semidirect |
| 4. #13067231 | C2 | semidirect |
| 5. #13067228 | C2 | semidirect |
| 6. #13066956 | C2 | semidirect |
| 7. C11×#1552 | C2 | semidirect |
| 152. #1552 | D11 | semidirect |
| 371. C11 | #8458 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13082470 | 2 |
| #13069413 | 2 |
| #13067309 | 2 |
| #13067231 | 2 |
| #13067228 | 2 |
| #13066956 | 2 |
| C11×#1552 | 2 |
| #8458 | 11 |