Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
484 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 135 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×#14519810 | C2 | semidirect |
| 2. C2×#14519807 | C2 | semidirect |
| 4. C2×#14519742 | C2 | semidirect |
| 5. #16839987 | C2 | semidirect |
| 6. #16839983 | C2 | semidirect |
| 7. #16839971 | C2 | semidirect |
| 8. #16839961 | C2 | semidirect |
| 9. #16839785 | C2 | semidirect |
| 10. #16839761 | C2 | semidirect |
| 11. C61×#417 | C2 | semidirect |
| 65. C2×Dic122 | D4 | semidirect |
| 150. Dic61 | #137 | semidirect |
| 168. #417 | D61 | semidirect |
| 169. C61 | #3037 | semidirect |