Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
222 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 1. #16810650 | C2 | semidirect |
| 5. C2×#13133128 | C2 | semidirect |
| 6. #16810387 | C2 | semidirect |
| 7. C53×#339 | C2 | semidirect |
| 14. #13133140 | C4 | semidirect |
| 15. #13133137 | C4 | semidirect |
| 97. #339 | D53 | semidirect |
| 98. C53 | #1938 | semidirect |