Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
416 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 137 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. #16840098 | C2 | semidirect |
| 3. #16840003 | C2 | semidirect |
| 4. #16839920 | C2 | semidirect |
| 7. C2×Dic244 | C22 | semidirect |
| 15. #14519711 | C22 | semidirect |
| 16. #14519702 | C22 | semidirect |
| 42. C23×C61 | Q16 | semidirect |
| 83. C61 | #3189 | semidirect |
| 120. C23 | Dic244 | semidirect |