Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
420 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 139 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. D4×Dic122 | C2 | semidirect |
| 3. #16840113 | C2 | semidirect |
| 4. #16840093 | C2 | semidirect |
| 5. #16840048 | C2 | semidirect |
| 6. #16839991 | C2 | semidirect |
| 7. #16839968 | C2 | semidirect |
| 8. #16839903 | C2 | semidirect |
| 9. C4×#11758190 | C2 | semidirect |
| 10. C2×#14519702 | C2 | semidirect |
| 11. C8×D4×C61 | C2 | semidirect |
| 79. D4×C61 | SD16 | semidirect |
| 102. Dic122 | #41 | semidirect |
| 138. C8×D4 | D61 | semidirect |
| 140. C61 | #3298 | semidirect |
| 217. D4 | #11758190 | semidirect |