Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
364 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 364 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. #16840165 | C2 | semidirect |
| 3. #16840086 | C2 | semidirect |
| 4. #16840083 | C2 | semidirect |
| 5. #16840052 | C2 | semidirect |
| 6. #16840049 | C2 | semidirect |
| 7. #16839996 | C2 | semidirect |
| 8. C4×#11758199 | C2 | semidirect |
| 9. D4×#92418 | C2 | semidirect |
| 10. #16839798 | C2 | semidirect |
| 11. C61×#555 | C2 | semidirect |
| 127. #555 | D61 | semidirect |
| 137. C61 | #3341 | semidirect |