Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
512 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 149 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×C4⋊C4×D61 | C2 | semidirect |
| 3. #16840082 | C2 | direct (N × H) |
| 4. C2×#14519708 | C2 | semidirect |
| 5. C2×#14519699 | C2 | semidirect |
| 6. C2×#14519697 | C2 | semidirect |
| 7. C2×#14519689 | C2 | semidirect |
| 8. C2×#106×C61 | C2 | semidirect |
| 19. C4⋊C4×D61 | C22 | semidirect |
| 21. #14519708 | C22 | semidirect |
| 22. #14519699 | C22 | semidirect |
| 23. #14519697 | C22 | semidirect |
| 24. #14519689 | C22 | semidirect |
| 28. #106×C61 | C22 | semidirect |
| 111. C2×C61 | #481 | semidirect |
| 121. C2×#106 | D61 | semidirect |
| 125. C61 | C2×#481 | semidirect |
| 142. #106 | C2×D61 | semidirect |
| 229. C2 | #16840082 | direct (N × H) |