Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
760 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 760 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×Dic244 | C2 | semidirect |
| 3. C22×#11758190 | C2 | semidirect |
| 4. C2×#14519756 | C2 | semidirect |
| 5. #16839926 | C2 | direct (N × H) |
| 6. C2×#14519702 | C2 | semidirect |
| 7. C2×#14519699 | C2 | semidirect |
| 8. C2×C22⋊C8×C61 | C2 | semidirect |
| 19. C2×Dic244 | C22 | semidirect |
| 21. C2×#11758190 | C22 | semidirect |
| 23. #14519756 | C22 | semidirect |
| 27. #14519702 | C22 | semidirect |
| 28. #14519699 | C22 | semidirect |
| 32. C22⋊C8×C61 | C22 | semidirect |
| 131. C2×C61 | #452 | semidirect |
| 143. C2×C22⋊C8 | D61 | semidirect |
| 144. C61 | C2×#452 | semidirect |
| 168. C22⋊C8 | C2×D61 | semidirect |
| 267. C2 | #16839926 | direct (N × H) |