Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
172 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 8. #13133136 | C4 | semidirect |
| 14. #101×C53 | C4 | semidirect |
| 80. C53 | #1394 | semidirect |
| 89. #101 | Dic53 | semidirect |