Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
370 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 109 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. #16840365 | C2 | semidirect |
| 2. #16840064 | C2 | semidirect |
| 3. #16840061 | C2 | semidirect |
| 4. #16840015 | C2 | semidirect |
| 5. #16839996 | C2 | semidirect |
| 6. #16839956 | C2 | semidirect |
| 7. #16839955 | C2 | semidirect |
| 8. #16839790 | C2 | semidirect |
| 9. C61×#469 | C2 | semidirect |
| 114. #469 | D61 | semidirect |
| 119. C61 | #3259 | semidirect |