Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
338 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 16. C11×#333 | C4 | semidirect |
| 17. C11×#332 | C4 | semidirect |
| 136. #333 | Dic11 | semidirect |
| 137. #332 | Dic11 | semidirect |
| 226. C11 | #9579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13069594 | 2 |
| C4⋊C8×Dic11 | 2 |
| #13067387 | 2 |
| #13067019 | 2 |
| #13066513 | 2 |
| #13066448 | 2 |
| C11×#1542 | 2 |
| #9579 | 11 |