Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
528 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 160 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. #16840829 | C2 | semidirect |
| 2. #16840803 | C2 | semidirect |
| 3. D8×#6923 | C2 | semidirect |
| 4. #16840772 | C2 | semidirect |
| 5. #16840754 | C2 | semidirect |
| 6. #16840725 | C2 | semidirect |
| 10. D4×#6923 | C22 | semidirect |
| 14. #14519846 | C22 | semidirect |
| 15. #14519845 | C22 | semidirect |
| 16. #14519839 | C22 | semidirect |
| 17. #14519831 | C22 | semidirect |
| 18. C8×#6923 | C22 | semidirect |
| 20. C2×D488 | C4 | semidirect |
| 21. C2×#11758199 | C4 | semidirect |
| 22. D8×D61 | C4 | semidirect |
| 23. D8×D61 | C4 | semidirect |
| 27. C2×D8×C61 | C4 | semidirect |
| 30. C2×D4×C61 | C2×C4 | semidirect |
| 34. D4×D61 | C2×C4 | semidirect |
| 36. C2×D244 | C2×C4 | semidirect |
| 48. D8×C61 | C2×C4 | semidirect |
| 49. D8×C61 | C2×C4 | semidirect |
| 50. C2×C8×C61 | C2×C4 | semidirect |
| 51. #11758199 | C2×C4 | semidirect |
| 52. #11758199 | C2×C4 | semidirect |
| 53. C2×#92418 | C2×C4 | semidirect |
| 54. D488 | C2×C4 | semidirect |
| 55. D488 | C2×C4 | semidirect |
| 56. C8×D61 | C2×C4 | semidirect |
| 57. C8×D61 | C2×C4 | semidirect |
| 116. C61 | #2948 | semidirect |
| 124. C2×D8 | #6923 | semidirect |
| 144. C2×D4 | C2×#6923 | semidirect |
| 151. D8 | C2×#6923 | semidirect |
| 152. D8 | C2×#6923 | semidirect |
| 161. C2×C8 | C2×#6923 | semidirect |