Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
340 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16811352 | C2 | semidirect |
| 2. #16810993 | C2 | semidirect |
| 3. #16810975 | C2 | semidirect |
| 4. #16810927 | C2 | semidirect |
| 5. #16810915 | C2 | semidirect |
| 8. #16810754 | C2 | semidirect |
| 128. C53 | #3372 | semidirect |