Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
468 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 468 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×#14519736 | C2 | semidirect |
| 2. #16840083 | C2 | direct (N × H) |
| 3. C2×#14519710 | C2 | semidirect |
| 4. C2×#14519708 | C2 | semidirect |
| 5. C2×#14519698 | C2 | semidirect |
| 6. C2×#14519698 | C2 | semidirect |
| 7. C2×C22⋊#92418 | C2 | semidirect |
| 12. #14519736 | C22 | semidirect |
| 17. #14519710 | C22 | semidirect |
| 18. #14519708 | C22 | semidirect |
| 19. #14519698 | C22 | semidirect |
| 20. #14519698 | C22 | semidirect |
| 21. C22⋊#92418 | C22 | semidirect |
| 111. C2×C61 | #482 | semidirect |
| 123. C61 | C2×#482 | semidirect |
| 225. C2 | #16840083 | direct (N × H) |