Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
404 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 111 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. #13067375 | C2 | semidirect |
| 4. C11⋊#1309 | C2 | semidirect |
| 5. C11×#1566 | C2 | semidirect |
| 88. #1566 | D11 | semidirect |
| 220. C11 | #8640 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077329 | 2 |
| #13067375 | 2 |
| #13067349 | 2 |
| C11⋊#1309 | 2 |
| C11×#1566 | 2 |
| #8640 | 11 |