Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
418 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 418 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 |
|---|---|---|
| 1. C2×#10622144 | C2 | semidirect |
| 2. C2×#10622205 | C2 | semidirect |
| 3. C2×#10622140 | C2 | semidirect |
| 4. #13069505 | C2 | semidirect |
| 9. C2×C11×Q32 | C4 | semidirect |
| 10. C2×C11×SD32 | C4 | semidirect |
| 11. C2×C11×D16 | C4 | semidirect |
| 116. C2×Q32 | Dic11 | semidirect |
| 117. C2×SD32 | Dic11 | semidirect |
| 118. C2×D16 | Dic11 | semidirect |
| 206. C11 | #13242 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622144 | 2 |
| C2×#10622205 | 2 |
| C2×#10622140 | 2 |
| #13069505 | 2 |
| C2×C11×#508 | 2 |
| #13242 | 11 |