Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
452 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 452 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 |
|---|---|---|
| 2. #13068627 | C2 | semidirect |
| 3. #13067390 | C2 | semidirect |
| 4. #13067176 | C2 | semidirect |
| 5. #13066936 | C2 | semidirect |
| 6. #13066475 | C2 | semidirect |
| 7. C11×#1540 | C2 | semidirect |
| 119. #1540 | D11 | semidirect |
| 306. C11 | #10464 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13078076 | 2 |
| #13068627 | 2 |
| #13067390 | 2 |
| #13067176 | 2 |
| #13066936 | 2 |
| #13066475 | 2 |
| C11×#1540 | 2 |
| #10464 | 11 |