Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
312 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 87 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. #16810646 | C2 | semidirect |
| 5. C4×#11719919 | C2 | semidirect |
| 6. #16810382 | C2 | semidirect |
| 7. C53×#339 | C2 | semidirect |
| 10. #13133182 | C4 | semidirect |
| 11. #13133182 | C4 | semidirect |
| 12. #13133179 | C4 | semidirect |
| 13. #13133179 | C4 | semidirect |
| 95. D212 | C4⋊C4 | semidirect |
| 101. Dic106 | C4⋊C4 | semidirect |
| 124. Dic53 | #104 | semidirect |
| 138. #339 | D53 | semidirect |
| 139. C53 | #1806 | semidirect |