Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
546 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 546 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 |
|---|---|---|
| 1. C22×#11758200 | C2 | semidirect |
| 2. D4×Dic122 | C2 | semidirect |
| 3. #16840134 | C2 | semidirect |
| 4. #16839989 | C2 | semidirect |
| 5. #16839967 | C2 | semidirect |
| 6. #16839959 | C2 | semidirect |
| 7. #16839913 | C2 | semidirect |
| 8. #16839900 | C2 | semidirect |
| 9. C4×#11758200 | C2 | semidirect |
| 10. D4×#92418 | C2 | semidirect |
| 12. C22×Dic122 | C22 | semidirect |
| 16. C2×#11758200 | C22 | semidirect |
| 17. C2×#11758200 | C22 | semidirect |
| 18. C2×#11758200 | C22 | semidirect |
| 19. C22×#92418 | C22 | semidirect |
| 20. #14519777 | C22 | semidirect |
| 22. #14519756 | C22 | semidirect |
| 24. C4×Dic122 | C22 | semidirect |
| 26. #14519708 | C22 | semidirect |
| 27. C4⋊#92418 | C22 | semidirect |
| 28. #14519700 | C22 | semidirect |
| 29. #14519700 | C22 | semidirect |
| 31. #14519698 | C22 | semidirect |
| 32. C22⋊#92418 | C22 | semidirect |
| 33. C4×#92418 | C22 | semidirect |
| 72. #11758200 | D4 | direct (N × H) |
| 96. D4×C61 | SD16 | semidirect |
| 114. Dic122 | C2×D4 | semidirect |
| 117. #92418 | C2×D4 | semidirect |
| 127. C22×C61 | C2×SD16 | semidirect |
| 132. C4×C61 | C2×SD16 | semidirect |
| 156. C61 | D4×SD16 | semidirect |
| 246. D4 | #11758200 | direct (N × H) |
| 272. C22 | C2×#11758200 | semidirect |
| 280. C4 | C2×#11758200 | semidirect |