Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
384 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 384 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. #16840497 | C2 | semidirect |
| 2. #16840124 | C2 | semidirect |
| 3. #16840110 | C2 | semidirect |
| 4. #16840049 | C2 | semidirect |
| 5. #16840044 | C2 | semidirect |
| 6. #16839977 | C2 | semidirect |
| 8. #16839893 | C2 | semidirect |
| 9. #16839872 | C2 | semidirect |
| 10. C4×#11758200 | C2 | semidirect |
| 11. D4×Q8×C61 | C2 | semidirect |
| 126. D4×Q8 | D61 | semidirect |
| 136. C61 | #3373 | semidirect |