Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
472 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13077636 | C2 | semidirect |
| 3. #13067215 | C2 | semidirect |
| 4. #13066967 | C2 | semidirect |
| 5. #13066526 | C2 | semidirect |
| 6. #13066507 | C2 | semidirect |
| 7. C11×#1488 | C2 | semidirect |
| 141. #1488 | D11 | semidirect |
| 344. C11 | #9350 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13078110 | 2 |
| #13077636 | 2 |
| #13067215 | 2 |
| #13066967 | 2 |
| #13066526 | 2 |
| #13066507 | 2 |
| C11×#1488 | 2 |
| #9350 | 11 |