Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
362 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 2. #16840161 | C2 | semidirect |
| 3. #16840136 | C2 | semidirect |
| 4. #16840130 | C2 | semidirect |
| 5. #16840128 | C2 | semidirect |
| 6. #16840010 | C2 | semidirect |
| 7. #16839993 | C2 | semidirect |
| 8. #16839860 | C2 | semidirect |
| 9. C4×#11758201 | C2 | semidirect |
| 10. #16839718 | C2 | semidirect |
| 11. C61×#541 | C2 | semidirect |
| 109. #541 | D61 | semidirect |
| 120. C61 | #3174 | semidirect |