Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
596 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 157 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. C22×#11758194 | C2 | semidirect |
| 3. C2×#14519751 | C2 | semidirect |
| 4. #16840013 | C2 | direct (N × H) |
| 5. C2×#14519708 | C2 | semidirect |
| 6. C2×#14519698 | C2 | semidirect |
| 7. C2×#14519697 | C2 | semidirect |
| 8. C2×#121×C61 | C2 | semidirect |
| 12. C2×#11758199 | C22 | semidirect |
| 14. C2×#11758194 | C22 | semidirect |
| 18. #14519751 | C22 | semidirect |
| 21. #14519708 | C22 | semidirect |
| 22. #14519698 | C22 | semidirect |
| 23. #14519697 | C22 | semidirect |
| 28. #121×C61 | C22 | semidirect |
| 63. C2×#92418 | D4 | semidirect |
| 101. #92418 | C2×D4 | semidirect |
| 127. C2×C61 | #469 | semidirect |
| 135. C2×#121 | D61 | semidirect |
| 140. C61 | C2×#469 | semidirect |
| 155. #121 | C2×D61 | semidirect |
| 259. C2 | #16840013 | direct (N × H) |