Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 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. C2×#14519803 | C2 | semidirect |
| 2. C2×#14519797 | C2 | semidirect |
| 3. #16840242 | C2 | semidirect |
| 4. #16839981 | C2 | semidirect |
| 5. #16839974 | C2 | semidirect |
| 6. #16839959 | C2 | semidirect |
| 7. #16839954 | C2 | semidirect |
| 8. #16839789 | C2 | semidirect |
| 9. #16839763 | C2 | semidirect |
| 10. C2×#14519698 | C2 | semidirect |
| 11. C61×#535 | C2 | semidirect |
| 15. C2×#11758202 | C22 | semidirect |
| 17. C2×#11758200 | C22 | semidirect |
| 18. C2×#11758201 | C22 | semidirect |
| 20. C2×#11758199 | C22 | semidirect |
| 23. C4×Dic122 | C22 | semidirect |
| 24. C4×D244 | C22 | semidirect |
| 29. C4⋊#92418 | C22 | semidirect |
| 30. C4⋊#92418 | C22 | semidirect |
| 31. #14519701 | C22 | semidirect |
| 34. #14519698 | C22 | semidirect |
| 60. #11758222 | D4 | semidirect |
| 157. #535 | D61 | semidirect |
| 166. C61 | #3045 | semidirect |