Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
368 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 149 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. #16811028 | C2 | semidirect |
| 3. #16811003 | C2 | semidirect |
| 4. #16810974 | C2 | semidirect |
| 6. C4×Dic212 | C2 | semidirect |
| 48. C2×C4×C53 | Q16 | semidirect |
| 85. C53 | #3170 | semidirect |
| 130. C2×C4 | Dic212 | semidirect |