Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
372 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 2. #16840132 | C2 | semidirect |
| 3. #16840124 | C2 | semidirect |
| 4. #16840119 | C2 | semidirect |
| 5. #16840114 | C2 | semidirect |
| 6. #16839770 | C2 | semidirect |
| 9. C2×#14519700 | C2 | semidirect |
| 10. #16839718 | C2 | semidirect |
| 11. C61×#544 | C2 | semidirect |
| 128. #544 | D61 | semidirect |
| 139. C61 | #3137 | semidirect |