Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
448 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16840485 | C2 | semidirect |
| 3. #16840109 | C2 | semidirect |
| 4. #16840088 | C2 | semidirect |
| 5. #16840042 | C2 | semidirect |
| 6. #16840011 | C2 | semidirect |
| 7. #16839962 | C2 | semidirect |
| 8. #16839911 | C2 | semidirect |
| 9. #16839841 | C2 | semidirect |
| 10. #16839765 | C2 | semidirect |
| 11. C4×SD16×C61 | C2 | semidirect |
| 14. C2×#11758201 | C22 | semidirect |
| 15. C2×#11758189 | C22 | semidirect |
| 16. #14519777 | C22 | semidirect |
| 20. #14519753 | C22 | semidirect |
| 26. #14519735 | C22 | semidirect |
| 27. #14519710 | C22 | semidirect |
| 28. C4⋊#92418 | C22 | semidirect |
| 29. #14519699 | C22 | semidirect |
| 30. #14519699 | C22 | semidirect |
| 32. #14519697 | C22 | semidirect |
| 33. #14519689 | C22 | semidirect |
| 35. C4×Q8×C61 | C22 | semidirect |
| 37. #106×C61 | C22 | semidirect |
| 38. #103×C61 | C22 | semidirect |
| 40. C4×C8×C61 | C22 | semidirect |
| 144. C4×SD16 | D61 | semidirect |
| 147. C61 | #3324 | semidirect |
| 162. C4×Q8 | C2×D61 | semidirect |
| 167. #106 | C2×D61 | semidirect |
| 169. #103 | C2×D61 | semidirect |
| 176. C4×C8 | C2×D61 | semidirect |