Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
406 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 4. #13067037 | C2 | semidirect |
| 5. #13066515 | C2 | semidirect |
| 6. #13066489 | C2 | semidirect |
| 7. C11×#1531 | C2 | semidirect |
| 126. #1531 | D11 | semidirect |
| 304. C11 | #9314 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13078772 | 2 |
| #13077265 | 2 |
| #13067048 | 2 |
| #13067037 | 2 |
| #13066515 | 2 |
| #13066489 | 2 |
| C11×#1531 | 2 |
| #9314 | 11 |