Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
260 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 9. #13133216 | C4 | semidirect |
| 10. #13133216 | C4 | semidirect |
| 11. #13133208 | C4 | semidirect |
| 12. #13133208 | C4 | semidirect |
| 35. M16×C53 | Q8 | semidirect |
| 61. #11719917 | Q8 | semidirect |
| 122. C53 | #1986 | semidirect |
| 152. M16 | Dic106 | semidirect |