Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
574 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 574 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 |
|---|---|---|
| 2. #13079543 | C2 | semidirect |
| 3. #13079075 | C2 | semidirect |
| 4. #13069604 | C2 | semidirect |
| 5. #13067207 | C2 | semidirect |
| 6. #13067032 | C2 | semidirect |
| 7. C11×#1299 | C2 | semidirect |
| 132. #1299 | D11 | semidirect |
| 313. C11 | #10106 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079997 | 2 |
| #13079543 | 2 |
| #13079075 | 2 |
| #13069604 | 2 |
| #13067207 | 2 |
| #13067032 | 2 |
| C11×#1299 | 2 |
| #10106 | 11 |