Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 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. #16840296 | C2 | semidirect |
| 2. #16840144 | C2 | semidirect |
| 3. #16840116 | C2 | semidirect |
| 4. #16839969 | C2 | semidirect |
| 5. #16839964 | C2 | semidirect |
| 6. #16839959 | C2 | semidirect |
| 7. #16839954 | C2 | semidirect |
| 8. #16839924 | C2 | semidirect |
| 9. #16839907 | C2 | semidirect |
| 10. #16839815 | C2 | semidirect |
| 11. C61×#532 | C2 | semidirect |
| 145. #532 | D61 | semidirect |
| 156. C61 | #3212 | semidirect |