Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
196 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 68 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 |
|---|---|---|
| 17. #13133153 | C4 | semidirect |
| 18. #13133152 | C4 | semidirect |
| 19. #108×C53 | C4 | semidirect |
| 82. C53 | #1952 | semidirect |
| 90. #108 | #6157 | semidirect |