Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
404 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 123 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×#13133216 | C2 | semidirect |
| 3. #16811027 | C2 | semidirect |
| 4. #16810968 | C2 | semidirect |
| 5. #16810937 | C2 | semidirect |
| 6. #16810936 | C2 | semidirect |
| 7. #16810934 | C2 | semidirect |
| 8. #16810902 | C2 | semidirect |
| 9. #16810901 | C2 | semidirect |
| 10. #16810673 | C2 | semidirect |
| 11. C53×#480 | C2 | semidirect |
| 145. #480 | D53 | semidirect |
| 149. C53 | #3226 | semidirect |