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×#11758201 | C2 | semidirect |
| 3. C2×#14519753 | C2 | semidirect |
| 4. #16839923 | C2 | direct (N × H) |
| 5. C2×#14519701 | C2 | semidirect |
| 6. C2×#14519699 | C2 | semidirect |
| 7. C2×#14519689 | C2 | semidirect |
| 8. C22×Q16×C61 | C2 | semidirect |
| 18. C2×#11758201 | C22 | semidirect |
| 21. #14519753 | C22 | semidirect |
| 25. #14519701 | C22 | semidirect |
| 26. #14519699 | C22 | semidirect |
| 27. #14519689 | C22 | semidirect |
| 31. C2×Q16×C61 | C22 | semidirect |
| 130. C2×C61 | #452 | semidirect |
| 137. C22×Q16 | D61 | semidirect |
| 144. C61 | C2×#452 | semidirect |
| 156. C2×Q16 | C2×D61 | semidirect |
| 267. C2 | #16839923 | direct (N × H) |