Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
324 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 324 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. C2×#13133140 | C2 | semidirect |
| 5. #16810529 | C2 | semidirect |
| 6. #16810385 | C2 | semidirect |
| 79. C2×C4×C53 | SD16 | semidirect |
| 137. C53 | #2055 | semidirect |
| 219. C2×C4 | #11719923 | semidirect |