Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
398 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 398 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 |
|---|---|---|
| 2. #16811103 | C2 | semidirect |
| 3. #16810967 | C2 | semidirect |
| 4. #16810960 | C2 | semidirect |
| 5. #16810949 | C2 | semidirect |
| 6. #16810938 | C2 | semidirect |
| 7. C2×#13133150 | C2 | semidirect |
| 8. #16810625 | C2 | semidirect |
| 9. #16810617 | C2 | semidirect |
| 10. #16810591 | C2 | semidirect |
| 11. C53×#428 | C2 | semidirect |
| 140. #428 | D53 | semidirect |
| 145. C53 | #3098 | semidirect |