Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
764 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 764 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14519822 | C2 | semidirect |
| 2. C2×#14519797 | C2 | semidirect |
| 3. #16840340 | C2 | semidirect |
| 4. #16839921 | C2 | semidirect |
| 5. #16839911 | C2 | semidirect |
| 6. #16839904 | C2 | semidirect |
| 7. #16839894 | C2 | semidirect |
| 8. #16839764 | C2 | semidirect |
| 9. C2×#14519698 | C2 | semidirect |
| 10. #16839730 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C61 | C2 | semidirect |
| 22. C2×#11758202 | C22 | semidirect |
| 23. C2×#11758200 | C22 | semidirect |
| 24. C2×#11758201 | C22 | semidirect |
| 25. C2×#11758199 | C22 | semidirect |
| 26. C22×#92418 | C22 | semidirect |
| 28. #14519753 | C22 | semidirect |
| 31. #14519748 | C22 | semidirect |
| 32. C2×C4⋊Dic61 | C22 | semidirect |
| 33. #14519702 | C22 | semidirect |
| 34. #14519699 | C22 | semidirect |
| 35. #14519698 | C22 | semidirect |
| 36. #14519698 | C22 | semidirect |
| 37. #14519689 | C22 | semidirect |
| 38. #14519689 | C22 | semidirect |
| 39. C2×#41×C61 | C22 | semidirect |
| 42. C2×SD16×C61 | C22 | semidirect |
| 43. C2×D8×C61 | C22 | semidirect |
| 44. C2×M16×C61 | C22 | semidirect |
| 53. C2×D4×C61 | D4 | semidirect |
| 75. #11758222 | D4 | semidirect |
| 180. C2×AGL(1,ℤ/8) | D61 | semidirect |
| 190. C61 | #3012 | semidirect |
| 197. C2×#41 | C2×D61 | semidirect |
| 207. C2×SD16 | C2×D61 | semidirect |
| 209. C2×D8 | C2×D61 | semidirect |
| 210. C2×M16 | C2×D61 | semidirect |
| 252. C2×D4 | C22⋊D61 | semidirect |