Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
232 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 58 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. #16811634 | C2 | semidirect |
| 4. #16811589 | C2 | semidirect |
| 5. #16811502 | C2 | semidirect |
| 6. #16811498 | C2 | semidirect |
| 23. #13133134 | C4 | semidirect |
| 24. #13133133 | C4 | semidirect |
| 25. #13133133 | C4 | semidirect |
| 26. #100×C53 | C4 | semidirect |
| 122. C53 | #1931 | semidirect |
| 139. #100 | #6157 | semidirect |