Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 2. #16840112 | C2 | semidirect |
| 3. #16840100 | C2 | semidirect |
| 4. #16840057 | C2 | semidirect |
| 5. #16840010 | C2 | semidirect |
| 6. #16839964 | C2 | semidirect |
| 7. #16839901 | C2 | semidirect |
| 8. C4×#11758201 | C2 | semidirect |
| 9. #16839840 | C2 | semidirect |
| 10. #16839771 | C2 | semidirect |
| 11. D4×Q8×C61 | C2 | semidirect |
| 128. D4×Q8 | D61 | semidirect |
| 138. C61 | #3329 | semidirect |