Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
332 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 11. #13133215 | C4 | semidirect |
| 99. Dic53 | #103 | semidirect |
| 113. C53 | #1956 | semidirect |