Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
240 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 240 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 |
|---|---|---|
| 21. C4⋊#88322 | C4 | semidirect |
| 22. #13133146 | C4 | semidirect |
| 23. #13133146 | C4 | semidirect |
| 24. C4⋊C8×C53 | C4 | semidirect |
| 118. C53 | #1949 | semidirect |
| 132. C4⋊C8 | #6157 | semidirect |