Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
332 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 121 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. #16840161 | C2 | semidirect |
| 3. #16840116 | C2 | semidirect |
| 4. #16840100 | C2 | semidirect |
| 6. #16840057 | C2 | semidirect |
| 7. #16840052 | C2 | semidirect |
| 8. #16840047 | C2 | semidirect |
| 9. #16840042 | C2 | semidirect |
| 10. #16839815 | C2 | semidirect |
| 141. C61 | #3233 | semidirect |