Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
300 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 70 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×#13133287 | C2 | semidirect |
| 2. C2×#13133282 | C2 | semidirect |
| 3. C2×#13133281 | C2 | semidirect |
| 4. #16811598 | C2 | semidirect |
| 5. #16811597 | C2 | semidirect |
| 6. C2×C8×#6157 | C2 | semidirect |
| 22. C2×#11719925 | C4 | semidirect |
| 23. C2×#11719913 | C4 | semidirect |
| 24. C2×#11719922 | C4 | semidirect |
| 26. C2×SD16×C53 | C4 | semidirect |
| 127. C53 | #1974 | semidirect |
| 134. C2×SD16 | #6157 | semidirect |