Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 109 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. #16840342 | C2 | semidirect |
| 2. #16840096 | C2 | semidirect |
| 3. #16840077 | C2 | semidirect |
| 4. #16840010 | C2 | semidirect |
| 5. #16839998 | C2 | semidirect |
| 6. #16839923 | C2 | semidirect |
| 7. #16839910 | C2 | semidirect |
| 8. #16839728 | C2 | semidirect |
| 9. C61×#467 | C2 | semidirect |
| 124. #467 | D61 | semidirect |
| 129. C61 | #3203 | semidirect |