Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#14519768 | C2 | semidirect |
| 3. #16840129 | C2 | semidirect |
| 4. #16840125 | C2 | semidirect |
| 5. #16840118 | C2 | semidirect |
| 6. #16840115 | C2 | semidirect |
| 7. #16839764 | C2 | semidirect |
| 8. #16839763 | C2 | semidirect |
| 9. #16839761 | C2 | semidirect |
| 10. M16×Dic61 | C2 | semidirect |
| 11. C61×#417 | C2 | semidirect |
| 156. #417 | D61 | semidirect |
| 158. C61 | #3142 | semidirect |