Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
216 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 71 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. #16810671 | C2 | semidirect |
| 4. C4×#11719917 | C2 | semidirect |
| 5. #16810394 | C2 | semidirect |
| 6. #16810383 | C2 | semidirect |
| 14. #13133136 | C4 | semidirect |
| 15. #13133134 | C4 | semidirect |
| 103. C53 | #1932 | semidirect |