Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
462 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 462 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. C2×#13133196 | C2 | semidirect |
| 2. #16810958 | C2 | semidirect |
| 3. #16810934 | C2 | semidirect |
| 4. #16810867 | C2 | semidirect |
| 5. #16810774 | C2 | semidirect |
| 6. #16810761 | C2 | semidirect |
| 7. #16810587 | C2 | semidirect |
| 9. C22×Dic106 | C22 | semidirect |
| 10. C2×#11719923 | C22 | semidirect |
| 11. C2×#11719917 | C22 | semidirect |
| 15. #13133196 | C22 | semidirect |
| 16. C2×C4⋊Dic53 | C22 | semidirect |
| 19. #13133150 | C22 | semidirect |
| 20. #13133140 | C22 | semidirect |
| 21. #13133138 | C22 | semidirect |
| 23. C22⋊#88322 | C22 | semidirect |
| 138. C53 | #3193 | semidirect |