Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
420 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 2. #16840103 | C2 | semidirect |
| 3. #16840097 | C2 | semidirect |
| 4. #16840092 | C2 | semidirect |
| 5. #16840086 | C2 | semidirect |
| 6. #16840080 | C2 | semidirect |
| 7. #16840075 | C2 | semidirect |
| 8. #16839798 | C2 | semidirect |
| 9. #16839756 | C2 | semidirect |
| 10. C2×C22⋊#92418 | C2 | semidirect |
| 11. C2×#117×C61 | C2 | semidirect |
| 23. #14519710 | C22 | semidirect |
| 24. #14519710 | C22 | semidirect |
| 25. #14519708 | C22 | semidirect |
| 26. #14519708 | C22 | semidirect |
| 27. #14519700 | C22 | semidirect |
| 28. #14519700 | C22 | semidirect |
| 29. #14519697 | C22 | semidirect |
| 30. #14519697 | C22 | semidirect |
| 145. C2×#117 | D61 | semidirect |
| 155. C61 | #3091 | semidirect |