Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
292 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 3. #16839720 | C2 | semidirect |
| 4. C2×#14519688 | C2 | semidirect |
| 5. #16839526 | C2 | semidirect |
| 6. #16839522 | C2 | semidirect |
| 9. #14519784 | C4 | semidirect |
| 16. #14519701 | C4 | semidirect |
| 17. #14519698 | C4 | semidirect |
| 24. #104×C61 | C4 | semidirect |
| 106. C61 | #1765 | semidirect |
| 118. #104 | Dic61 | semidirect |