Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
454 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13076994 | C2 | semidirect |
| 3. #13066476 | C2 | semidirect |
| 4. #13066449 | C2 | semidirect |
| 20. C11×C4⋊Q8 | Q8 | semidirect |
| 21. C11×#127 | Q8 | semidirect |
| 143. C4⋊Q8 | Dic22 | semidirect |
| 144. #127 | Dic22 | semidirect |
| 201. C11 | #10362 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13076994 | 2 |
| #13067176 | 2 |
| #13066476 | 2 |
| #13066449 | 2 |
| C11×#1962 | 2 |
| #10362 | 11 |