Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
460 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16840433 | C2 | semidirect |
| 2. #16840139 | C2 | semidirect |
| 3. #16840137 | C2 | semidirect |
| 4. #16839957 | C2 | semidirect |
| 5. #16839956 | C2 | semidirect |
| 6. C8×Dic122 | C2 | semidirect |
| 7. #16839844 | C2 | semidirect |
| 8. C4×D8×C61 | C2 | semidirect |
| 70. Dic122 | D8 | semidirect |
| 72. C8×C61 | #41 | semidirect |
| 101. C4×D8 | D61 | semidirect |
| 102. C61 | #3391 | semidirect |
| 167. C8 | #11758222 | semidirect |