Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 141 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. #16810915 | C2 | semidirect |
| 4. #16810830 | C2 | semidirect |
| 6. C4×#11719925 | C2 | semidirect |
| 70. C2×C4×C53 | Q16 | semidirect |
| 112. C53 | #3104 | semidirect |
| 181. C2×C4 | #11719925 | semidirect |