Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
738 conjugacy classes of subgroups; only the 198 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 198 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. #16840841 | C2 | semidirect |
| 2. #41×#6923 | C2 | semidirect |
| 3. #16840761 | C2 | semidirect |
| 4. #16840759 | C2 | semidirect |
| 5. C2×#14519842 | C2 | semidirect |
| 6. D61⋊#104 | C2 | semidirect |
| 10. C2×#11758213 | C22 | semidirect |
| 11. D61⋊M16 | C22 | semidirect |
| 14. #14519856 | C22 | semidirect |
| 15. C2×C4×#6923 | C22 | semidirect |
| 16. #14519842 | C22 | semidirect |
| 17. #14519842 | C22 | semidirect |
| 18. #14519842 | C22 | semidirect |
| 19. #14519841 | C22 | semidirect |
| 20. #14519841 | C22 | semidirect |
| 22. #14519825 | C4 | semidirect |
| 24. #14519823 | C4 | semidirect |
| 25. #14519823 | C4 | semidirect |
| 31. 2−1+4×C61 | C4 | semidirect |
| 35. #41×C61 | C2×C4 | semidirect |
| 37. C2×Q8×C61 | C2×C4 | semidirect |
| 42. #11758226 | C2×C4 | semidirect |
| 46. Q8×D61 | C2×C4 | semidirect |
| 54. D4×D61 | C2×C4 | semidirect |
| 60. #11758222 | C2×C4 | semidirect |
| 63. C2×D244 | C2×C4 | semidirect |
| 147. C61 | #2901 | semidirect |
| 150. 2−1+4 | #6923 | semidirect |
| 189. #41 | C2×#6923 | semidirect |
| 194. C2×Q8 | C2×#6923 | semidirect |