Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
400 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 129 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. #16840315 | C2 | semidirect |
| 3. #16840118 | C2 | semidirect |
| 4. #16840115 | C2 | semidirect |
| 5. #16840111 | C2 | semidirect |
| 6. #16840107 | C2 | semidirect |
| 7. #16839759 | C2 | semidirect |
| 8. #16839758 | C2 | semidirect |
| 9. #16839756 | C2 | semidirect |
| 10. C2×C8×Dic61 | C2 | semidirect |
| 11. C61×#416 | C2 | semidirect |
| 135. #416 | D61 | semidirect |
| 137. C61 | #3131 | semidirect |