Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
524 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 133 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. C22×#11758199 | C2 | semidirect |
| 2. C2×#14519785 | C2 | semidirect |
| 3. #16840331 | C2 | semidirect |
| 4. #16840329 | C2 | semidirect |
| 5. #16840014 | C2 | semidirect |
| 6. #16839997 | C2 | semidirect |
| 7. #16839798 | C2 | semidirect |
| 8. #16839768 | C2 | semidirect |
| 9. C61×#418 | C2 | semidirect |
| 16. C2×#11758189 | C22 | semidirect |
| 18. C2×C8×D61 | C22 | semidirect |
| 23. #14519752 | C22 | semidirect |
| 24. #14519748 | C22 | semidirect |
| 28. #14519710 | C22 | semidirect |
| 29. #14519708 | C22 | semidirect |
| 30. #14519699 | C22 | semidirect |
| 34. #102×C61 | C22 | semidirect |
| 66. C2×#92418 | D4 | semidirect |
| 134. #418 | D61 | semidirect |
| 135. C61 | #3058 | semidirect |
| 160. #102 | C2×D61 | semidirect |