Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
430 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16840416 | C2 | semidirect |
| 2. #16840108 | C2 | semidirect |
| 3. #16840078 | C2 | semidirect |
| 4. #16840047 | C2 | semidirect |
| 5. #16840013 | C2 | semidirect |
| 6. #16839954 | C2 | semidirect |
| 7. #16839907 | C2 | semidirect |
| 8. C4×#11758201 | C2 | semidirect |
| 9. #16839840 | C2 | semidirect |
| 10. #16839763 | C2 | semidirect |
| 11. C61×#550 | C2 | semidirect |
| 81. Q8×C61 | #41 | semidirect |
| 135. #550 | D61 | semidirect |
| 146. C61 | #3332 | semidirect |
| 217. Q8 | #11758224 | semidirect |