Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
224 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 77 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×#13133152 | C2 | semidirect |
| 5. #16810382 | C2 | semidirect |
| 6. #16810377 | C2 | semidirect |
| 7. C53×#405 | C2 | semidirect |
| 14. #13133140 | C4 | semidirect |
| 15. #13133140 | C4 | semidirect |
| 16. #13133137 | C4 | semidirect |
| 17. #13133137 | C4 | semidirect |
| 110. #405 | D53 | semidirect |
| 113. C53 | #1929 | semidirect |