Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
152 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 60 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 |
|---|---|---|
| 6. D53⋊C16 | C4 | semidirect |
| 9. #13133286 | C4 | semidirect |
| 12. #13133151 | C4 | semidirect |
| 14. #107×C53 | C4 | semidirect |
| 73. C53 | #1380 | semidirect |
| 84. #107 | #6157 | semidirect |