Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
260 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 12. #13133209 | C4 | semidirect |
| 13. #13133208 | C4 | semidirect |
| 14. #13133208 | C4 | semidirect |
| 22. #125×C53 | C4 | semidirect |
| 103. C53 | #1989 | semidirect |
| 110. #125 | #6157 | semidirect |