Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
410 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 410 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. #16840312 | C2 | semidirect |
| 2. #16840296 | C2 | semidirect |
| 3. #16840171 | C2 | semidirect |
| 4. #16840151 | C2 | semidirect |
| 5. #16840127 | C2 | semidirect |
| 6. #16840122 | C2 | semidirect |
| 7. #16839998 | C2 | semidirect |
| 8. #16839991 | C2 | semidirect |
| 9. #16839875 | C2 | semidirect |
| 10. #16839864 | C2 | semidirect |
| 11. C2×#97×C61 | C2 | semidirect |
| 110. C8×C61 | #41 | semidirect |
| 148. C2×#97 | D61 | semidirect |
| 149. C61 | #3180 | semidirect |
| 248. C8 | #11758222 | semidirect |