Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
300 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 300 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 |
|---|---|---|
| 4. #16839717 | C2 | semidirect |
| 5. #16839527 | C2 | semidirect |
| 6. #16839522 | C2 | semidirect |
| 7. C2×C4×C8×C61 | C2 | semidirect |
| 10. #14519783 | C4 | semidirect |
| 16. #14519705 | C4 | semidirect |
| 17. #14519702 | C4 | semidirect |
| 18. #14519699 | C4 | semidirect |
| 103. C2×C4×C8 | D61 | semidirect |
| 106. C61 | #1764 | semidirect |