Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
426 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13067231 | C2 | semidirect |
| 4. #13067089 | C2 | semidirect |
| 5. #13066478 | C2 | semidirect |
| 6. #13066446 | C2 | semidirect |
| 279. C11 | #9285 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077692 | 2 |
| #13067231 | 2 |
| #13067227 | 2 |
| #13067089 | 2 |
| #13066478 | 2 |
| #13066446 | 2 |
| C11×#3210 | 2 |
| #9285 | 11 |