Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
328 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16840319 | C2 | semidirect |
| 2. #16840172 | C2 | semidirect |
| 3. #16840172 | C2 | semidirect |
| 4. #16840121 | C2 | semidirect |
| 5. #16840121 | C2 | semidirect |
| 6. #16840100 | C2 | semidirect |
| 8. #16840069 | C2 | semidirect |
| 9. #16840062 | C2 | semidirect |
| 10. #16839819 | C2 | semidirect |
| 137. C61 | #3240 | semidirect |