Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
708 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 708 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#14519810 | C2 | semidirect |
| 3. C2×#14519807 | C2 | semidirect |
| 4. C2×#14519777 | C2 | semidirect |
| 5. #16839946 | C2 | direct (N × H) |
| 6. C2×#14519705 | C2 | semidirect |
| 7. C2×#14519695 | C2 | semidirect |
| 8. C2×#104×C61 | C2 | semidirect |
| 22. #14519810 | C22 | semidirect |
| 24. #14519807 | C22 | semidirect |
| 31. #14519777 | C22 | semidirect |
| 33. #14519705 | C22 | semidirect |
| 34. #14519695 | C22 | semidirect |
| 38. #104×C61 | C22 | semidirect |
| 168. C2×C61 | #456 | semidirect |
| 177. C2×#104 | D61 | semidirect |
| 179. C61 | C2×#456 | semidirect |
| 208. #104 | C2×D61 | semidirect |
| 339. C2 | #16839946 | direct (N × H) |