Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
184 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 78 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. #16811487 | C2 | semidirect |
| 3. #16811486 | C2 | semidirect |
| 44. C8×C53 | M16 | semidirect |
| 46. #88322 | M16 | semidirect |
| 68. C53 | #1567 | semidirect |
| 110. C8 | #11719940 | semidirect |