Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
384 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13067219 | C2 | semidirect |
| 4. #13066973 | C2 | semidirect |
| 6. #13066905 | C2 | semidirect |
| 7. C11×#1568 | C2 | semidirect |
| 118. #1568 | D11 | semidirect |
| 290. C11 | #9790 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622310 | 2 |
| #13067219 | 2 |
| #13067215 | 2 |
| #13066973 | 2 |
| #13066969 | 2 |
| #13066905 | 2 |
| C11×#1568 | 2 |
| #9790 | 11 |