Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
556 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 556 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13079999 | C2 | semidirect |
| 3. #13069457 | C2 | semidirect |
| 4. #13067207 | C2 | semidirect |
| 5. #13067037 | C2 | semidirect |
| 6. #13066506 | C2 | semidirect |
| 7. C11×#3138 | C2 | semidirect |
| 128. #3138 | D11 | semidirect |
| 317. C11 | #10112 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079999 | 2 |
| #13079534 | 2 |
| #13069457 | 2 |
| #13067207 | 2 |
| #13067037 | 2 |
| #13066506 | 2 |
| C11×#3138 | 2 |
| #10112 | 11 |