Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
386 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 123 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. #16840477 | C2 | semidirect |
| 2. #16840158 | C2 | semidirect |
| 3. #16840083 | C2 | semidirect |
| 4. #16840080 | C2 | semidirect |
| 5. #16840052 | C2 | semidirect |
| 6. #16840039 | C2 | semidirect |
| 7. #16840013 | C2 | semidirect |
| 8. C4×#11758199 | C2 | semidirect |
| 9. #16839840 | C2 | semidirect |
| 10. #16839802 | C2 | semidirect |
| 11. C61×#547 | C2 | semidirect |
| 101. #92418 | #41 | semidirect |
| 129. #547 | D61 | semidirect |
| 139. C61 | #3354 | semidirect |