Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
324 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 66 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. #16811701 | C2 | semidirect |
| 2. #16811621 | C2 | semidirect |
| 3. #16811615 | C2 | semidirect |
| 4. D53⋊#100 | C2 | semidirect |
| 5. #16811505 | C2 | semidirect |
| 6. #16811492 | C2 | semidirect |
| 22. C2×#11719913 | C4 | semidirect |
| 23. C2×#11719923 | C4 | semidirect |
| 24. C2×#11719922 | C4 | semidirect |
| 26. C2×D8×C53 | C4 | semidirect |
| 133. C53 | #1903 | semidirect |
| 141. C2×D8 | #6157 | semidirect |