Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
360 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16840482 | C2 | semidirect |
| 3. #16840142 | C2 | semidirect |
| 4. #16839983 | C2 | semidirect |
| 5. #16839967 | C2 | semidirect |
| 6. C8×Dic122 | C2 | semidirect |
| 7. #16839856 | C2 | semidirect |
| 93. C61 | #3393 | semidirect |