Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
398 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 141 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. #16840390 | C2 | semidirect |
| 3. #16840064 | C2 | semidirect |
| 4. #16840060 | C2 | semidirect |
| 5. #16840050 | C2 | semidirect |
| 6. #16840040 | C2 | semidirect |
| 7. #16839804 | C2 | semidirect |
| 8. #16839798 | C2 | semidirect |
| 9. #16839790 | C2 | semidirect |
| 14. #14519776 | C22 | semidirect |
| 16. #14519768 | C22 | semidirect |
| 26. #14519711 | C22 | semidirect |
| 27. #14519710 | C22 | semidirect |
| 28. #14519710 | C22 | semidirect |
| 29. #14519709 | C22 | semidirect |
| 30. #14519708 | C22 | semidirect |
| 31. #14519708 | C22 | semidirect |
| 32. #14519706 | C22 | semidirect |
| 33. #14519706 | C22 | semidirect |
| 44. C2×D4×C61 | Q8 | semidirect |
| 136. C61 | #3081 | semidirect |
| 170. C2×D4 | Dic122 | semidirect |