Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
216 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 1. #16810676 | C2 | semidirect |
| 2. #16810647 | C2 | semidirect |
| 3. Q8⋊#88322 | C2 | semidirect |
| 4. D4⋊#88322 | C2 | semidirect |
| 99. C53 | #1495 | semidirect |