Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
230 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 31. M16×C53 | Q8 | semidirect |
| 38. C42×C53 | Q8 | semidirect |
| 51. #11719917 | Q8 | semidirect |
| 103. C53 | #2061 | semidirect |
| 129. M16 | Dic106 | semidirect |
| 148. C42 | Dic106 | semidirect |