Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
584 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 157 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×#11758190 | C2 | semidirect |
| 2. C22×#11758200 | C2 | semidirect |
| 4. C2×#14519742 | C2 | semidirect |
| 5. #16839961 | C2 | direct (N × H) |
| 6. C2×#14519706 | C2 | semidirect |
| 7. C2×#14519697 | C2 | semidirect |
| 8. C2×#102×C61 | C2 | semidirect |
| 14. C2×#11758190 | C22 | semidirect |
| 16. C2×#11758200 | C22 | semidirect |
| 21. #14519742 | C22 | semidirect |
| 25. #14519706 | C22 | semidirect |
| 26. #14519697 | C22 | semidirect |
| 30. #102×C61 | C22 | semidirect |
| 52. C2×Dic122 | D4 | semidirect |
| 89. C2×Dic61 | SD16 | semidirect |
| 97. Dic122 | C2×D4 | semidirect |
| 118. Dic61 | C2×SD16 | semidirect |
| 121. C2×C61 | #460 | semidirect |
| 133. C2×#102 | D61 | semidirect |
| 134. C61 | C2×#460 | semidirect |
| 156. #102 | C2×D61 | semidirect |
| 247. C2 | #16839961 | direct (N × H) |