Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
420 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 139 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. D4×Dic106 | C2 | semidirect |
| 2. #16810975 | C2 | semidirect |
| 3. #16810953 | C2 | semidirect |
| 4. #16810905 | C2 | semidirect |
| 5. #16810850 | C2 | semidirect |
| 6. #16810828 | C2 | semidirect |
| 7. #16810761 | C2 | semidirect |
| 8. C4×#11719923 | C2 | semidirect |
| 9. D4×#88322 | C2 | semidirect |
| 10. C2×#13133140 | C2 | semidirect |
| 83. D4×C53 | SD16 | semidirect |
| 102. Dic106 | #41 | semidirect |
| 140. C53 | #3298 | semidirect |
| 217. D4 | #11719923 | semidirect |