Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×C4⋊Dic53 | C2 | semidirect |
| 2. #16810956 | C2 | semidirect |
| 3. #16810951 | C2 | semidirect |
| 4. #16810939 | C2 | semidirect |
| 5. #16810934 | C2 | semidirect |
| 6. #16810666 | C2 | semidirect |
| 7. #16810624 | C2 | semidirect |
| 8. #16810587 | C2 | semidirect |
| 18. #13133150 | C22 | semidirect |
| 19. #13133148 | C22 | semidirect |
| 20. #13133141 | C22 | semidirect |
| 21. #13133138 | C22 | semidirect |
| 140. C53 | #3092 | semidirect |