Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
470 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 1. #13081719 | C2 | semidirect |
| 2. #13070352 | C2 | semidirect |
| 3. #13068662 | C2 | semidirect |
| 4. #13066723 | C2 | semidirect |
| 9. C11×#470 | C4 | semidirect |
| 10. C11×#469 | C4 | semidirect |
| 50. #66876 | D4 | semidirect |
| 130. #470 | Dic11 | semidirect |
| 131. #469 | Dic11 | semidirect |
| 228. C11 | #13077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081719 | 2 |
| #13070352 | 2 |
| #13068662 | 2 |
| #13066723 | 2 |
| C11×#3060 | 2 |
| #13077 | 11 |