Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
482 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#14519796 | C2 | semidirect |
| 2. C22×Dic244 | C2 | semidirect |
| 3. #16840418 | C2 | semidirect |
| 4. #16840145 | C2 | semidirect |
| 5. #16840004 | C2 | semidirect |
| 6. #16839983 | C2 | semidirect |
| 7. #16839925 | C2 | semidirect |
| 8. #16839900 | C2 | semidirect |
| 9. #16839856 | C2 | semidirect |
| 10. C8×C22⋊D61 | C2 | semidirect |
| 11. C61×#466 | C2 | semidirect |
| 78. Dic244 | D4 | semidirect |
| 116. C22×C61 | #135 | semidirect |
| 142. #466 | D61 | semidirect |
| 148. C61 | #3285 | semidirect |
| 256. C22 | #14519796 | semidirect |