Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
398 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16810964 | C2 | semidirect |
| 3. #16810953 | C2 | semidirect |
| 4. #16810947 | C2 | semidirect |
| 5. #16810941 | C2 | semidirect |
| 6. #16810666 | C2 | semidirect |
| 7. C2×#13133148 | C2 | semidirect |
| 8. #16810622 | C2 | semidirect |
| 9. #16810617 | C2 | semidirect |
| 10. #16810590 | C2 | semidirect |
| 11. C53×#520 | C2 | semidirect |
| 135. #520 | D53 | semidirect |
| 145. C53 | #3099 | semidirect |