Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 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×#14519797 | C2 | semidirect |
| 2. C2×#14519785 | C2 | semidirect |
| 3. #16840343 | C2 | semidirect |
| 4. #16840340 | C2 | semidirect |
| 5. #16840011 | C2 | semidirect |
| 6. #16840007 | C2 | semidirect |
| 7. #16840002 | C2 | semidirect |
| 8. #16839997 | C2 | semidirect |
| 9. C2×#14519710 | C2 | semidirect |
| 10. #16839764 | C2 | semidirect |
| 11. C61×#417 | C2 | semidirect |
| 82. C2×#92418 | D4 | semidirect |
| 163. #417 | D61 | semidirect |
| 164. C61 | #3061 | semidirect |