Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
388 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 101 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. #13067377 | C2 | semidirect |
| 3. #13067377 | C2 | semidirect |
| 5. #13066526 | C2 | semidirect |
| 6. #13066526 | C2 | semidirect |
| 239. C11 | #8634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077328 | 2 |
| #13067377 | 2 |
| #13067251 | 2 |
| #13066526 | 2 |
| C11×#1536 | 2 |
| #8634 | 11 |