Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
792 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 792 conjugacy classes of subgroups — too many to draw. Only its 269 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 |
|---|---|---|
| 2. C2×#14519736 | C2 | semidirect |
| 3. #16839759 | C2 | direct (N × H) |
| 4. C2×#14519702 | C2 | semidirect |
| 5. C2×#14519699 | C2 | semidirect |
| 6. C23×C8×C61 | C2 | semidirect |
| 9. C2×#11758222 | C4 | semidirect |
| 16. #14519736 | C22 | semidirect |
| 20. #14519702 | C22 | semidirect |
| 21. #14519699 | C22 | semidirect |
| 25. C22×C8×C61 | C22 | semidirect |
| 40. #11758222 | C2×C4 | semidirect |
| 104. C2×C61 | #416 | semidirect |
| 109. C23×C8 | D61 | semidirect |
| 114. C61 | C2×#416 | semidirect |
| 126. C22×C8 | C2×D61 | semidirect |
| 212. C2 | #16839759 | direct (N × H) |