Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#14519807 | C2 | semidirect |
| 2. C2×#14519783 | C2 | semidirect |
| 4. #16840338 | C2 | semidirect |
| 5. #16840019 | C2 | semidirect |
| 6. #16840007 | C2 | semidirect |
| 7. #16840002 | C2 | semidirect |
| 8. #16839990 | C2 | semidirect |
| 9. #16839805 | C2 | semidirect |
| 10. C2×#14519702 | C2 | semidirect |
| 11. C61×#416 | C2 | semidirect |
| 81. #11758194 | D4 | semidirect |
| 153. #416 | D61 | semidirect |
| 155. C61 | #3063 | semidirect |