Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
448 conjugacy classes of subgroups; only the 138 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 138 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. #16811497 | C2 | semidirect |
| 7. #13133296 | C4 | semidirect |
| 10. C2×C4⋊#6157 | C4 | semidirect |
| 16. C2×#11719917 | C4 | semidirect |
| 17. C2×#11719912 | C4 | semidirect |
| 21. C2×M16×C53 | C4 | semidirect |
| 42. C4⋊#6157 | C2×C4 | semidirect |
| 45. C2×C8×C53 | C2×C4 | semidirect |
| 47. C2×#88322 | C2×C4 | semidirect |
| 116. C53 | #1736 | semidirect |
| 123. C2×M16 | #6157 | semidirect |
| 155. C2×C8 | C2×#6157 | semidirect |