Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
166 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 4. C2×#11719917 | C4 | semidirect |
| 5. C22×#88322 | C4 | semidirect |
| 8. #13133132 | C4 | semidirect |
| 14. #99×C53 | C4 | semidirect |
| 78. C53 | #1391 | semidirect |
| 87. #99 | Dic53 | semidirect |