Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
286 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 2. #16810666 | C2 | semidirect |
| 5. #16810489 | C2 | semidirect |
| 6. #16810391 | C2 | semidirect |
| 7. C53×#339 | C2 | semidirect |
| 19. #13133145 | C4 | semidirect |
| 47. C42×C53 | C2×C4 | semidirect |
| 56. #11719917 | C2×C4 | semidirect |
| 118. #339 | D53 | semidirect |
| 119. C53 | #1860 | semidirect |
| 169. C42 | C4×D53 | semidirect |