Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
260 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 89 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. C2×C4⋊#88322 | C2 | semidirect |
| 3. #16810370 | C2 | semidirect |
| 4. #16810366 | C2 | semidirect |
| 5. C53×#423 | C2 | semidirect |
| 92. #423 | D53 | semidirect |
| 96. C53 | #1547 | semidirect |