Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 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. C2×#13133248 | C2 | semidirect |
| 2. C2×#13133224 | C2 | semidirect |
| 4. #16810879 | C2 | semidirect |
| 5. #16810871 | C2 | semidirect |
| 6. #16810862 | C2 | semidirect |
| 7. #16810854 | C2 | semidirect |
| 8. #16810666 | C2 | semidirect |
| 9. #16810617 | C2 | semidirect |
| 10. C2×#13133141 | C2 | semidirect |
| 11. C53×#536 | C2 | semidirect |
| 79. #11719917 | D4 | semidirect |
| 147. #536 | D53 | semidirect |
| 155. C53 | #3063 | semidirect |