Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
282 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 35. C2×C8×C53 | Q8 | semidirect |
| 43. C4⋊Dic53 | Q8 | semidirect |
| 50. C2×#88322 | Q8 | semidirect |
| 111. C53 | #2057 | semidirect |
| 142. C2×C8 | Dic106 | semidirect |