Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
416 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 117 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. #13070389 | C2 | semidirect |
| 4. #13069407 | C2 | semidirect |
| 5. #13066730 | C2 | semidirect |
| 6. #13066703 | C2 | semidirect |
| 20. C11×#361 | C4 | semidirect |
| 41. C11×M32 | C2×C4 | semidirect |
| 44. C11×#108 | C2×C4 | semidirect |
| 140. #361 | Dic11 | semidirect |
| 175. M32 | C2×Dic11 | semidirect |
| 182. #108 | C2×Dic11 | semidirect |
| 230. C11 | #12953 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077468 | 2 |
| #13070389 | 2 |
| C2×#10622201 | 2 |
| #13069407 | 2 |
| #13066730 | 2 |
| #13066703 | 2 |
| C2×C11×#361 | 2 |
| #12953 | 11 |