Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
424 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 1. C2×C4×Dic106 | C2 | semidirect |
| 2. #16810934 | C2 | semidirect |
| 3. #16810915 | C2 | semidirect |
| 4. #16810820 | C2 | semidirect |
| 5. #16810761 | C2 | semidirect |
| 6. #16810723 | C2 | semidirect |
| 7. #16810680 | C2 | semidirect |
| 88. Dic106 | #41 | semidirect |
| 120. C53 | #3112 | semidirect |