Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
702 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 702 conjugacy classes of subgroups — too many to draw. Only its 219 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 |
|---|---|---|
| 3. #13069178 | C2 | semidirect |
| 4. #13068477 | C2 | semidirect |
| 6. #13068303 | C2 | semidirect |
| 7. C11×#1840 | C2 | semidirect |
| 78. #1840 | D11 | semidirect |
| 190. C11 | #21668 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13071914 | 2 |
| #13069227 | 2 |
| #13069178 | 2 |
| #13068477 | 2 |
| #13068386 | 2 |
| #13068303 | 2 |
| C11×#1840 | 2 |
| #21668 | 11 |