Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
230 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 60 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. #16840769 | C2 | semidirect |
| 4. C2×C8×#6923 | C2 | semidirect |
| 5. #16840638 | C2 | semidirect |
| 6. #16840632 | C2 | semidirect |
| 21. #14519702 | C4 | semidirect |
| 22. #14519700 | C4 | semidirect |
| 23. #14519698 | C4 | semidirect |
| 24. #102×C61 | C4 | semidirect |
| 113. C61 | #1937 | semidirect |
| 127. #102 | #6923 | semidirect |