Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
230 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 77 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. #16839788 | C2 | semidirect |
| 5. #16839527 | C2 | semidirect |
| 6. #16839522 | C2 | semidirect |
| 7. C2×C4×C8×C61 | C2 | semidirect |
| 14. #14519702 | C4 | semidirect |
| 15. #14519699 | C4 | semidirect |
| 95. C2×C4×C8 | D61 | semidirect |
| 98. C61 | #1937 | semidirect |