Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
430 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 113 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. #16840307 | C2 | semidirect |
| 2. #16840051 | C2 | semidirect |
| 3. #16840050 | C2 | semidirect |
| 4. #16840015 | C2 | semidirect |
| 5. #16840013 | C2 | semidirect |
| 6. #16839956 | C2 | semidirect |
| 7. #16839955 | C2 | semidirect |
| 8. #16839785 | C2 | semidirect |
| 9. C61×#469 | C2 | semidirect |
| 118. #469 | D61 | semidirect |
| 122. C61 | #3253 | semidirect |