Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
404 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 130 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 |
|---|---|---|
| 3. #16840632 | C2 | semidirect |
| 7. C2×#11758213 | C4 | semidirect |
| 11. #14519856 | C4 | semidirect |
| 16. #14519736 | C4 | semidirect |
| 20. C4⋊C4×D61 | C4 | semidirect |
| 23. #117×C61 | C4 | semidirect |
| 42. C4×#6923 | C2×C4 | semidirect |
| 45. #11758213 | C2×C4 | semidirect |
| 115. C61 | #1733 | semidirect |
| 128. #117 | #6923 | semidirect |