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 |
|---|---|---|
| 15. #13133151 | C4 | semidirect |
| 16. #13133150 | C4 | semidirect |
| 17. #107×C53 | C4 | semidirect |
| 55. C8×C53 | C4⋊C4 | semidirect |
| 56. #88322 | C4⋊C4 | semidirect |
| 81. C53 | #1943 | semidirect |
| 90. #107 | #6157 | semidirect |
| 132. C8 | C4⋊#6157 | semidirect |