Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
240 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 5. #13133217 | C4 | semidirect |
| 6. #13133217 | C4 | semidirect |
| 11. C4×Dic106 | C4 | semidirect |
| 84. C53 | #1503 | semidirect |