Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
446 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 119 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. #16840307 | C2 | semidirect |
| 2. #16840159 | C2 | semidirect |
| 3. #16840137 | C2 | semidirect |
| 4. #16840107 | C2 | semidirect |
| 5. #16840015 | C2 | semidirect |
| 6. #16840013 | C2 | semidirect |
| 7. #16839874 | C2 | semidirect |
| 8. #16839873 | C2 | semidirect |
| 9. #16839871 | C2 | semidirect |
| 10. M16×Dic61 | C2 | semidirect |
| 11. C61×#469 | C2 | semidirect |
| 94. C8×C61 | #41 | semidirect |
| 96. #92418 | #41 | semidirect |
| 125. #469 | D61 | semidirect |
| 130. C61 | #3184 | semidirect |
| 215. C8 | #11758224 | semidirect |