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. #16840760 | C2 | semidirect |
| 4. #16840759 | C2 | semidirect |
| 5. D61⋊#104 | C2 | semidirect |
| 6. C2×#14519841 | 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. #14519841 | C22 | semidirect |
| 19. #14519841 | C22 | semidirect |
| 20. #14519841 | C22 | semidirect |
| 22. #14519824 | C4 | semidirect |
| 23. #14519824 | C4 | semidirect |
| 25. #14519822 | C4 | semidirect |
| 31. H(5,𝔽2)×C61 | C4 | semidirect |
| 35. #41×C61 | C2×C4 | semidirect |
| 37. C2×D4×C61 | C2×C4 | semidirect |
| 44. Q8×D61 | C2×C4 | semidirect |
| 52. #11758224 | C2×C4 | semidirect |
| 57. D4×D61 | C2×C4 | semidirect |
| 62. #11758222 | C2×C4 | semidirect |
| 66. C2×Dic122 | C2×C4 | semidirect |
| 147. C61 | #2901 | semidirect |
| 153. H(5,𝔽2) | #6923 | semidirect |
| 189. #41 | C2×#6923 | semidirect |
| 202. C2×D4 | C2×#6923 | semidirect |