Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
292 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 11. #13133216 | C4 | semidirect |
| 38. C4⋊C4×C53 | Q8 | semidirect |
| 42. C4⋊Dic53 | Q8 | semidirect |
| 110. C53 | #1987 | semidirect |
| 148. C4⋊C4 | Dic106 | semidirect |