Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. #16840363 | C2 | semidirect |
| 2. #16840163 | C2 | semidirect |
| 3. #16840137 | C2 | semidirect |
| 4. #16840125 | C2 | semidirect |
| 5. #16840014 | C2 | semidirect |
| 6. #16839999 | C2 | semidirect |
| 7. #16839995 | C2 | semidirect |
| 8. #16839872 | C2 | semidirect |
| 9. C4×D488 | C2 | semidirect |
| 10. #16839716 | C2 | semidirect |
| 11. C4×D8×C61 | C2 | semidirect |
| 133. C4×D8 | D61 | semidirect |
| 135. C61 | #3176 | semidirect |