Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
434 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 69 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. #13070308 | C2 | semidirect |
| 3. #13070307 | C2 | semidirect |
| 4. #13069163 | C2 | semidirect |
| 5. #13068836 | C2 | semidirect |
| 6. #13066738 | C2 | semidirect |
| 7. C11×#1914 | C2 | semidirect |
| 134. #1914 | D11 | semidirect |
| 328. C11 | #13429 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079477 | 2 |
| #13070308 | 2 |
| #13070307 | 2 |
| #13069163 | 2 |
| #13068836 | 2 |
| #13066738 | 2 |
| C11×#1914 | 2 |
| #13429 | 11 |