Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
556 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 556 conjugacy classes of subgroups — too many to draw. Only its 87 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. #13080004 | C2 | semidirect |
| 3. #13078990 | C2 | semidirect |
| 4. #13067207 | C2 | semidirect |
| 5. #13067038 | C2 | semidirect |
| 6. #13066505 | C2 | semidirect |
| 7. C11×#1965 | C2 | semidirect |
| 129. #1965 | 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 |
|---|---|
| #13080004 | 2 |
| #13079534 | 2 |
| #13078990 | 2 |
| #13067207 | 2 |
| #13067038 | 2 |
| #13066505 | 2 |
| C11×#1965 | 2 |
| #10112 | 11 |