Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14519784 | C2 | semidirect |
| 3. #16840326 | C2 | semidirect |
| 4. #16840013 | C2 | semidirect |
| 5. #16839996 | C2 | semidirect |
| 6. #16839798 | C2 | semidirect |
| 7. #16839767 | C2 | semidirect |
| 8. #16839766 | C2 | semidirect |
| 9. C61×#535 | C2 | semidirect |
| 16. C2×#11758194 | C22 | semidirect |
| 18. C22×#92418 | C22 | semidirect |
| 21. #14519751 | C22 | semidirect |
| 24. #14519710 | C22 | semidirect |
| 25. #14519708 | C22 | semidirect |
| 26. #14519698 | C22 | semidirect |
| 27. #14519697 | C22 | semidirect |
| 32. #121×C61 | C22 | semidirect |
| 67. C2×#92418 | D4 | semidirect |
| 129. #535 | D61 | semidirect |
| 135. C61 | #3058 | semidirect |
| 152. #121 | C2×D61 | semidirect |