Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 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×C4⋊Dic61 | C2 | semidirect |
| 2. #16840095 | C2 | semidirect |
| 3. #16840090 | C2 | semidirect |
| 4. #16840078 | C2 | semidirect |
| 5. #16840073 | C2 | semidirect |
| 6. #16839805 | C2 | semidirect |
| 7. #16839763 | C2 | semidirect |
| 8. #16839726 | C2 | semidirect |
| 18. #14519710 | C22 | semidirect |
| 19. #14519708 | C22 | semidirect |
| 20. #14519701 | C22 | semidirect |
| 21. #14519698 | C22 | semidirect |
| 140. C61 | #3092 | semidirect |