Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
732 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 732 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 |
|---|---|---|
| 1. C2×#14519824 | C2 | semidirect |
| 2. C2×#14519802 | C2 | semidirect |
| 3. C22×#11758190 | C2 | semidirect |
| 4. #16840331 | C2 | semidirect |
| 5. #16839908 | C2 | semidirect |
| 6. #16839902 | C2 | semidirect |
| 7. #16839770 | C2 | semidirect |
| 8. #16839728 | C2 | semidirect |
| 9. C61×#416 | C2 | semidirect |
| 15. C2×#11758224 | C22 | semidirect |
| 18. C2×Q8×D61 | C22 | semidirect |
| 30. #14519700 | C22 | semidirect |
| 31. #14519689 | C22 | semidirect |
| 35. #103×C61 | C22 | semidirect |
| 36. #102×C61 | C22 | semidirect |
| 39. #41×C61 | D4 | semidirect |
| 70. C2×Dic122 | D4 | semidirect |
| 153. #416 | D61 | semidirect |
| 155. C61 | #3010 | semidirect |
| 180. #103 | C2×D61 | semidirect |
| 181. #102 | C2×D61 | semidirect |
| 191. #41 | D244 | semidirect |