Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
390 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 129 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. #16840319 | C2 | semidirect |
| 3. #16840104 | C2 | semidirect |
| 4. #16840048 | C2 | semidirect |
| 5. #16840043 | C2 | semidirect |
| 6. #16839973 | C2 | semidirect |
| 7. #16839968 | C2 | semidirect |
| 9. C4×Dic244 | C2 | semidirect |
| 10. C4×#11758190 | C2 | semidirect |
| 11. C61×#431 | C2 | semidirect |
| 147. #431 | D61 | semidirect |
| 148. C61 | #3107 | semidirect |