Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
298 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 15. #13133141 | C4 | semidirect |
| 58. Q8×C53 | C4⋊C4 | semidirect |
| 117. C53 | #1865 | semidirect |
| 168. Q8 | #11719919 | semidirect |