Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
390 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 390 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. #13070389 | C2 | semidirect |
| 3. #13070323 | C2 | semidirect |
| 4. #13070231 | C2 | semidirect |
| 5. #13068671 | C2 | semidirect |
| 6. #13066709 | C2 | semidirect |
| 7. C11×#2143 | C2 | semidirect |
| 121. #2143 | D11 | semidirect |
| 292. C11 | #13406 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13078332 | 2 |
| #13070389 | 2 |
| #13070323 | 2 |
| #13070231 | 2 |
| #13068671 | 2 |
| #13066709 | 2 |
| C11×#2143 | 2 |
| #13406 | 11 |