Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
350 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 113 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. #16840576 | C2 | semidirect |
| 2. #16840575 | C2 | semidirect |
| 3. #16840205 | C2 | semidirect |
| 4. #16840204 | C2 | semidirect |
| 5. #16840201 | C2 | semidirect |
| 6. #16840193 | C2 | semidirect |
| 7. #16840192 | C2 | semidirect |
| 8. C2×#14519723 | C2 | semidirect |
| 9. Q32×D61 | C2 | semidirect |
| 10. #16840180 | C2 | semidirect |
| 11. C61×#510 | C2 | semidirect |
| 129. #510 | D61 | semidirect |
| 135. C61 | #3417 | semidirect |