Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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. #16840385 | C2 | semidirect |
| 2. #16840166 | C2 | semidirect |
| 3. #16840147 | C2 | semidirect |
| 4. #16840123 | C2 | semidirect |
| 5. #16840010 | C2 | semidirect |
| 7. #16839865 | C2 | semidirect |
| 8. Q16×Dic61 | C2 | semidirect |
| 9. #16839844 | C2 | semidirect |
| 10. #16839717 | C2 | semidirect |
| 11. C61×#467 | C2 | semidirect |
| 123. #467 | D61 | semidirect |
| 129. C61 | #3175 | semidirect |