Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 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. #16840307 | C2 | semidirect |
| 2. #16840166 | C2 | semidirect |
| 3. #16840137 | C2 | semidirect |
| 4. #16840107 | C2 | semidirect |
| 5. #16839998 | C2 | semidirect |
| 6. #16839996 | C2 | semidirect |
| 7. D8×Dic61 | C2 | semidirect |
| 8. #16839844 | C2 | semidirect |
| 9. #16839842 | C2 | semidirect |
| 10. C2×C8×Dic61 | C2 | semidirect |
| 11. C61×#466 | C2 | semidirect |
| 89. C2×Dic61 | D8 | semidirect |
| 99. C8×C61 | #41 | semidirect |
| 101. #92418 | #41 | semidirect |
| 134. #466 | D61 | semidirect |
| 139. C61 | #3169 | semidirect |
| 229. C8 | #11758224 | semidirect |