Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
452 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 137 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. #16840562 | C2 | semidirect |
| 2. C2×#14519799 | C2 | semidirect |
| 3. C2×#14519783 | C2 | semidirect |
| 4. #16840038 | C2 | semidirect |
| 5. #16840033 | C2 | semidirect |
| 6. #16840026 | C2 | semidirect |
| 7. #16839744 | C2 | semidirect |
| 8. C2×#108×C61 | C2 | semidirect |
| 20. C2×Dic244 | C22 | semidirect |
| 21. C2×#11758190 | C22 | semidirect |
| 22. C2×D488 | C22 | semidirect |
| 30. #14519695 | C22 | semidirect |
| 31. #14519693 | C22 | semidirect |
| 34. #108×C61 | C22 | semidirect |
| 35. #108×C61 | C22 | semidirect |
| 139. C2×#108 | D61 | semidirect |
| 141. C61 | #3067 | semidirect |
| 165. #108 | C2×D61 | semidirect |
| 166. #108 | C2×D61 | semidirect |