Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
252 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 252 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 |
|---|---|---|
| 3. #16811473 | C2 | semidirect |
| 4. Q8⋊#88324 | C2 | semidirect |
| 53. Q8×C53 | M16 | semidirect |
| 72. Dic106 | M16 | semidirect |
| 100. C53 | #1491 | semidirect |
| 151. Q8 | #11719936 | semidirect |