Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
312 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 92 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. #16811639 | C2 | semidirect |
| 2. #16811639 | C2 | semidirect |
| 3. D4⋊#88324 | C2 | semidirect |
| 6. C4⋊#88324 | C22 | semidirect |
| 10. C4×#88324 | C22 | semidirect |
| 23. C2×D4×C53 | C8 | semidirect |
| 92. C53 | #1478 | semidirect |
| 111. C2×D4 | #88324 | semidirect |