Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
338 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 338 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. #16840491 | C2 | semidirect |
| 3. #16840162 | C2 | semidirect |
| 4. #16840160 | C2 | semidirect |
| 5. #16840067 | C2 | semidirect |
| 7. #16840057 | C2 | semidirect |
| 9. C8×Dic122 | C2 | semidirect |
| 48. SD16×C61 | Q8 | semidirect |
| 126. C61 | #3381 | semidirect |
| 163. SD16 | Dic122 | semidirect |