Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
360 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 360 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. #16840169 | C2 | semidirect |
| 4. #16840167 | C2 | semidirect |
| 6. #16840055 | C2 | semidirect |
| 7. #16840047 | C2 | semidirect |
| 9. #16839892 | C2 | semidirect |
| 50. SD16×C61 | Q8 | semidirect |
| 75. Q8×C61 | C2×Q8 | semidirect |
| 95. C8×C61 | C2×Q8 | semidirect |
| 128. C61 | #3386 | semidirect |
| 167. SD16 | Dic122 | semidirect |
| 196. Q8 | C2×Dic122 | semidirect |
| 213. C8 | C2×Dic122 | semidirect |