Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
420 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16840417 | C2 | semidirect |
| 2. #16840416 | C2 | semidirect |
| 3. #16840113 | C2 | semidirect |
| 4. #16840099 | C2 | semidirect |
| 5. #16840042 | C2 | semidirect |
| 6. #16840007 | C2 | semidirect |
| 7. #16839967 | C2 | semidirect |
| 8. #16839904 | C2 | semidirect |
| 9. #16839841 | C2 | semidirect |
| 10. #16839760 | C2 | semidirect |
| 11. C4×D8×C61 | C2 | semidirect |
| 83. D4×C61 | #41 | semidirect |
| 141. C4×D8 | D61 | semidirect |
| 144. C61 | #3330 | semidirect |
| 222. D4 | #11758222 | semidirect |