Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
372 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16840482 | C2 | semidirect |
| 2. D4×Dic122 | C2 | semidirect |
| 3. #16840120 | C2 | semidirect |
| 4. #16840113 | C2 | semidirect |
| 5. #16840056 | C2 | semidirect |
| 6. #16840042 | C2 | semidirect |
| 8. #16839967 | C2 | semidirect |
| 9. #16839892 | C2 | semidirect |
| 10. #16839859 | C2 | semidirect |
| 134. C61 | #3367 | semidirect |