Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
370 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16840367 | C2 | semidirect |
| 2. #16840062 | C2 | semidirect |
| 3. #16840059 | C2 | semidirect |
| 4. #16840013 | C2 | semidirect |
| 5. #16839996 | C2 | semidirect |
| 6. #16839957 | C2 | semidirect |
| 7. #16839954 | C2 | semidirect |
| 8. #16839789 | C2 | semidirect |
| 9. C61×#540 | C2 | semidirect |
| 108. #540 | D61 | semidirect |
| 116. C61 | #3259 | semidirect |