Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
460 conjugacy classes of subgroups; only the 202 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 202 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. #16811638 | C2 | direct (N × H) |
| 4. C2×#13133288 | C2 | semidirect |
| 5. C2×#13133287 | C2 | semidirect |
| 18. #13133288 | C22 | semidirect |
| 19. #13133287 | C22 | semidirect |
| 105. C2×C53 | #430 | semidirect |
| 116. C53 | C2×#430 | semidirect |
| 217. C2 | #16811638 | direct (N × H) |