Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
388 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 388 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. #16811330 | C2 | semidirect |
| 2. #16811019 | C2 | semidirect |
| 3. #16810953 | C2 | semidirect |
| 4. #16810939 | C2 | semidirect |
| 5. #16810913 | C2 | semidirect |
| 6. #16810905 | C2 | semidirect |
| 7. #16810850 | C2 | semidirect |
| 8. C4×#11719923 | C2 | semidirect |
| 9. D4×#88322 | C2 | semidirect |
| 10. C2×#13133148 | C2 | semidirect |
| 80. D4×C53 | SD16 | semidirect |
| 100. #88322 | #41 | semidirect |
| 135. C53 | #3335 | semidirect |
| 207. D4 | #11719923 | semidirect |