Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
284 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 4. #16810578 | C2 | semidirect |
| 5. #16810395 | C2 | semidirect |
| 6. #16810393 | C2 | semidirect |
| 7. C53×#405 | C2 | semidirect |
| 15. C2×#11719912 | C4 | semidirect |
| 16. C2×C8×D53 | C4 | semidirect |
| 18. #13133135 | C4 | semidirect |
| 19. #13133133 | C4 | semidirect |
| 111. #405 | D53 | semidirect |
| 114. C53 | #1757 | semidirect |