Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
374 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16840469 | C2 | semidirect |
| 2. D4×Dic122 | C2 | semidirect |
| 3. #16840170 | C2 | semidirect |
| 4. #16840160 | C2 | semidirect |
| 5. #16840064 | C2 | semidirect |
| 6. #16840052 | C2 | semidirect |
| 7. #16840050 | C2 | semidirect |
| 8. #16840042 | C2 | semidirect |
| 9. #16839892 | C2 | semidirect |
| 52. D8×C61 | Q8 | semidirect |
| 78. D4×C61 | C2×Q8 | semidirect |
| 97. C8×C61 | C2×Q8 | semidirect |
| 133. C61 | #3384 | semidirect |
| 174. D8 | Dic122 | semidirect |
| 204. D4 | C2×Dic122 | semidirect |
| 220. C8 | C2×Dic122 | semidirect |