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 |
|---|---|---|
| 2. #16811002 | C2 | semidirect |
| 3. #16810973 | C2 | semidirect |
| 4. #16810830 | C2 | semidirect |
| 63. C2×C4×C53 | Q16 | semidirect |
| 100. C53 | #3209 | semidirect |
| 160. C2×C4 | #11719925 | semidirect |