Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
812 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 812 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×#11758224 | C2 | semidirect |
| 2. C22×#11758200 | C2 | semidirect |
| 3. C2×#14519748 | C2 | semidirect |
| 4. #16839904 | C2 | direct (N × H) |
| 5. C2×#14519702 | C2 | semidirect |
| 6. C2×#14519698 | C2 | semidirect |
| 7. C2×#14519689 | C2 | semidirect |
| 8. C22×D8×C61 | C2 | semidirect |
| 12. C2×#11758224 | C22 | semidirect |
| 19. C2×#11758200 | C22 | semidirect |
| 22. #14519748 | C22 | semidirect |
| 25. #14519702 | C22 | semidirect |
| 26. #14519698 | C22 | semidirect |
| 27. #14519689 | C22 | semidirect |
| 31. C2×D8×C61 | C22 | semidirect |
| 41. C2×D4×C61 | D4 | semidirect |
| 63. C2×Dic122 | D4 | semidirect |
| 92. D4×C61 | C2×D4 | semidirect |
| 111. Dic122 | C2×D4 | semidirect |
| 139. C2×C61 | #449 | semidirect |
| 146. C22×D8 | D61 | semidirect |
| 152. C61 | C2×#449 | semidirect |
| 167. C2×D8 | C2×D61 | semidirect |
| 196. C2×D4 | C22⋊D61 | semidirect |
| 241. D4 | C2×C22⋊D61 | semidirect |
| 283. C2 | #16839904 | direct (N × H) |