Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
390 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 2. #16811015 | C2 | semidirect |
| 3. #16810985 | C2 | semidirect |
| 4. #16810833 | C2 | semidirect |
| 5. #16810823 | C2 | semidirect |
| 6. #16810783 | C2 | semidirect |
| 7. #16810680 | C2 | semidirect |
| 8. C53×#533 | C2 | semidirect |
| 110. #533 | D53 | semidirect |
| 118. C53 | #3216 | semidirect |