Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
564 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 157 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. C22×#11758200 | C2 | semidirect |
| 2. C2×#14519764 | C2 | semidirect |
| 3. C2×D4×Dic61 | C2 | semidirect |
| 4. #16839975 | C2 | direct (N × H) |
| 5. C2×#14519706 | C2 | semidirect |
| 6. C2×#14519702 | C2 | semidirect |
| 7. C2×#14519698 | C2 | semidirect |
| 12. C2×#11758200 | C22 | semidirect |
| 15. #14519764 | C22 | semidirect |
| 17. D4×Dic61 | C22 | semidirect |
| 23. #14519706 | C22 | semidirect |
| 24. #14519702 | C22 | semidirect |
| 25. #14519698 | C22 | semidirect |
| 120. C2×C61 | #463 | semidirect |
| 132. C61 | C2×#463 | semidirect |
| 243. C2 | #16839975 | direct (N × H) |