Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. C2×#13133215 | C2 | semidirect |
| 3. #16811016 | C2 | semidirect |
| 4. #16810990 | C2 | semidirect |
| 5. #16810831 | C2 | semidirect |
| 6. #16810827 | C2 | semidirect |
| 7. #16810778 | C2 | semidirect |
| 10. #16810677 | C2 | semidirect |
| 11. C53×#451 | C2 | semidirect |
| 145. #451 | D53 | semidirect |
| 149. C53 | #3218 | semidirect |