Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
284 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 66 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. #16811633 | C2 | semidirect |
| 2. #16811622 | C2 | semidirect |
| 3. #16811621 | C2 | semidirect |
| 4. #16811604 | C2 | semidirect |
| 5. #16811603 | C2 | semidirect |
| 6. #16811586 | C2 | semidirect |
| 26. C2×#11719925 | C4 | semidirect |
| 27. C2×#11719913 | C4 | semidirect |
| 28. C2×#11719922 | C4 | semidirect |
| 30. C2×SD16×C53 | C4 | semidirect |
| 140. C53 | #1976 | semidirect |
| 149. C2×SD16 | #6157 | semidirect |