Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
412 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 3. #13067062 | C2 | semidirect |
| 4. #13066959 | C2 | semidirect |
| 5. C11⋊#1308 | C2 | semidirect |
| 6. #13066487 | C2 | semidirect |
| 329. C11 | #9531 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13078783 | 2 |
| #13077603 | 2 |
| #13067062 | 2 |
| #13066959 | 2 |
| C11⋊#1308 | 2 |
| #13066487 | 2 |
| C11×#1535 | 2 |
| #9531 | 11 |