Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
424 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 121 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. #13070404 | C2 | semidirect |
| 4. #13069402 | C2 | semidirect |
| 5. #13066713 | C2 | semidirect |
| 6. #13066706 | C2 | semidirect |
| 21. C11×#361 | C4 | semidirect |
| 45. C11×M32 | C2×C4 | semidirect |
| 48. C11×#108 | C2×C4 | semidirect |
| 157. #361 | Dic11 | semidirect |
| 198. M32 | C2×Dic11 | semidirect |
| 204. #108 | C2×Dic11 | semidirect |
| 263. C11 | #12940 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077468 | 2 |
| #13070404 | 2 |
| C2×#10622200 | 2 |
| #13069402 | 2 |
| #13066713 | 2 |
| #13066706 | 2 |
| C2×C11×#361 | 2 |
| #12940 | 11 |