Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
344 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 2. C2×C4⋊#88322 | C2 | semidirect |
| 3. C2×#13133140 | C2 | semidirect |
| 5. C4×C4⋊C4×C53 | C2 | semidirect |
| 10. #13133205 | C4 | semidirect |
| 99. C4×C4⋊C4 | D53 | semidirect |
| 100. C53 | #1983 | semidirect |