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 |
| 2. #16840114 | C2 | semidirect |
| 3. #16840092 | C2 | semidirect |
| 4. #16840044 | C2 | semidirect |
| 5. #16839989 | C2 | semidirect |
| 6. #16839967 | C2 | semidirect |
| 7. #16839900 | C2 | semidirect |
| 8. C4×#11758200 | C2 | semidirect |
| 9. D4×#92418 | C2 | semidirect |
| 10. C2×#14519700 | C2 | semidirect |
| 83. D4×C61 | SD16 | semidirect |
| 102. Dic122 | #41 | semidirect |
| 140. C61 | #3298 | semidirect |
| 217. D4 | #11758200 | semidirect |