Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
512 conjugacy classes of subgroups; only the 218 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 218 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 |
|---|---|---|
| 3. #16811629 | C2 | direct (N × H) |
| 4. C2×#13133284 | C2 | semidirect |
| 5. C2×C4⋊#88324 | C2 | semidirect |
| 14. #13133284 | C22 | semidirect |
| 15. C4⋊#88324 | C22 | semidirect |
| 79. C2×C53 | #424 | semidirect |
| 88. C53 | C2×#424 | semidirect |
| 160. C2 | #16811629 | direct (N × H) |