Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
356 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 141 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. #16840167 | C2 | semidirect |
| 3. #16840098 | C2 | semidirect |
| 4. #16840058 | C2 | semidirect |
| 5. #16840003 | C2 | semidirect |
| 6. C4×Dic244 | C2 | semidirect |
| 7. C2×#14519711 | C2 | semidirect |
| 50. D4×C61 | Q16 | semidirect |
| 92. C61 | #3338 | semidirect |
| 137. D4 | Dic244 | semidirect |