Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
446 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 129 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. #16840312 | C2 | semidirect |
| 2. #16840158 | C2 | semidirect |
| 3. #16840138 | C2 | semidirect |
| 4. #16840110 | C2 | semidirect |
| 5. #16840108 | C2 | semidirect |
| 6. #16840013 | C2 | semidirect |
| 7. #16839872 | C2 | semidirect |
| 8. C4×#11758194 | C2 | semidirect |
| 9. C61×#532 | C2 | semidirect |
| 95. #92418 | #41 | semidirect |
| 122. #532 | D61 | semidirect |
| 130. C61 | #3184 | semidirect |