Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
226 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 7. C22⋊#88322 | C4 | semidirect |
| 9. #13133124 | C4 | semidirect |
| 12. C2×C42×C53 | C4 | semidirect |
| 79. C53 | #1284 | semidirect |
| 84. C2×C42 | Dic53 | semidirect |