Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
284 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 3. #16811586 | C2 | semidirect |
| 4. #16811505 | C2 | semidirect |
| 8. #13133278 | C4 | semidirect |
| 9. #13133277 | C4 | semidirect |
| 17. C2×#11719917 | C4 | semidirect |
| 18. C2×#11719912 | C4 | semidirect |
| 20. C2×C8×D53 | C4 | semidirect |
| 22. C22×C8×C53 | C4 | semidirect |
| 99. C53 | #1757 | semidirect |
| 109. C22×C8 | #6157 | semidirect |