Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
314 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 81 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. #13070370 | C2 | semidirect |
| 3. #13067370 | C2 | semidirect |
| 4. #13066668 | C2 | semidirect |
| 5. #13066660 | C2 | semidirect |
| 6. #13066658 | C2 | semidirect |
| 7. C11×#1363 | C2 | semidirect |
| 105. #1363 | D11 | semidirect |
| 250. C11 | #11980 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079188 | 2 |
| #13070370 | 2 |
| #13067370 | 2 |
| #13066668 | 2 |
| #13066660 | 2 |
| #13066658 | 2 |
| C11×#1363 | 2 |
| #11980 | 11 |