Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
216 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
| 5. #16810395 | C2 | semidirect |
| 6. #16810383 | C2 | semidirect |
| 7. C4×M16×C53 | C2 | semidirect |
| 16. #13133135 | C4 | semidirect |
| 17. #13133133 | C4 | semidirect |
| 100. C4×M16 | D53 | semidirect |
| 103. C53 | #1932 | semidirect |