Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
320 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 38. Q16×C53 | Q8 | semidirect |
| 100. C53 | #3390 | semidirect |
| 129. Q16 | Dic106 | semidirect |