Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
362 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 362 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. #16840119 | C2 | semidirect |
| 3. #16840110 | C2 | semidirect |
| 4. #16840059 | C2 | semidirect |
| 5. #16840054 | C2 | semidirect |
| 6. #16839977 | C2 | semidirect |
| 8. Q8×#92418 | C2 | semidirect |
| 9. C4×#11758200 | C2 | semidirect |
| 10. C4×#11758199 | C2 | semidirect |
| 11. C61×#554 | C2 | semidirect |
| 124. #554 | D61 | semidirect |
| 134. C61 | #3361 | semidirect |