Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
290 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 70 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. C2×#14519845 | C2 | semidirect |
| 4. C4⋊C4×#6923 | C2 | semidirect |
| 5. #16840635 | C2 | semidirect |
| 6. (C2×#6923)⋊C8 | C2 | semidirect |
| 21. #14519699 | C4 | semidirect |
| 22. #14519698 | C4 | semidirect |
| 23. #14519697 | C4 | semidirect |
| 24. #102×C61 | C4 | semidirect |
| 142. C61 | #1926 | semidirect |
| 158. #102 | #6923 | semidirect |