Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
434 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 1. C2×#10622203 | C2 | semidirect |
| 4. #13070336 | C2 | semidirect |
| 5. #13070221 | C2 | semidirect |
| 6. #13068740 | C2 | semidirect |
| 13. C11×#495 | C4 | semidirect |
| 14. C11×#494 | C4 | semidirect |
| 164. #495 | Dic11 | semidirect |
| 165. #494 | Dic11 | semidirect |
| 285. C11 | #13216 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622203 | 2 |
| #13070352 | 2 |
| #13070344 | 2 |
| #13070336 | 2 |
| #13070221 | 2 |
| #13068740 | 2 |
| C11×#3156 | 2 |
| #13216 | 11 |