Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
450 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 123 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. #13068754 | C2 | semidirect |
| 3. #13067300 | C2 | semidirect |
| 4. #13067296 | C2 | semidirect |
| 7. C11×#1450 | C2 | semidirect |
| 102. #1450 | D11 | semidirect |
| 243. C11 | #9769 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622307 | 2 |
| #13068754 | 2 |
| #13067300 | 2 |
| #13067296 | 2 |
| #13067283 | 2 |
| C11×#1450 | 2 |
| #9769 | 11 |