Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
384 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 384 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. Q8×D244 | C2 | semidirect |
| 2. #16840121 | C2 | semidirect |
| 3. #16840108 | C2 | semidirect |
| 4. #16840052 | C2 | semidirect |
| 5. #16840047 | C2 | semidirect |
| 6. #16839974 | C2 | semidirect |
| 8. #16839893 | C2 | semidirect |
| 9. #16839872 | C2 | semidirect |
| 10. C4×#11758201 | C2 | semidirect |
| 11. C61×#559 | C2 | semidirect |
| 125. #559 | D61 | semidirect |
| 136. C61 | #3373 | semidirect |