Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
792 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 792 conjugacy classes of subgroups — too many to draw. Only its 229 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×C8×D61 | C2 | semidirect |
| 3. C2×#14519735 | C2 | semidirect |
| 4. #16839757 | C2 | direct (N × H) |
| 5. C2×#14519701 | C2 | semidirect |
| 6. C2×#14519699 | C2 | semidirect |
| 7. C2×#14519697 | C2 | semidirect |
| 8. C2×#103×C61 | C2 | semidirect |
| 11. C2×#11758226 | C4 | semidirect |
| 19. C2×C8×D61 | C22 | semidirect |
| 21. #14519735 | C22 | semidirect |
| 25. #14519701 | C22 | semidirect |
| 26. #14519699 | C22 | semidirect |
| 27. #14519697 | C22 | semidirect |
| 31. #103×C61 | C22 | semidirect |
| 45. #11758226 | C2×C4 | semidirect |
| 123. C2×C61 | #416 | semidirect |
| 134. C2×#103 | D61 | semidirect |
| 137. C61 | C2×#416 | semidirect |
| 158. #103 | C2×D61 | semidirect |
| 253. C2 | #16839757 | direct (N × H) |