Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
324 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13068747 | C2 | semidirect |
| 3. #13066629 | C2 | semidirect |
| 5. C11×#2162 | C2 | semidirect |
| 12. C4×Dic44 | C4 | semidirect |
| 14. #10622309 | C4 | semidirect |
| 15. C4×D88 | C4 | semidirect |
| 17. #10622296 | C4 | semidirect |
| 92. #2162 | D11 | semidirect |
| 231. C11 | #11855 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079186 | 2 |
| #13068747 | 2 |
| #13066629 | 2 |
| #13066626 | 2 |
| C11×#2162 | 2 |
| #11855 | 11 |