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 |
|---|---|---|
| 2. C2×#13133216 | C2 | semidirect |
| 3. #16810984 | C2 | semidirect |
| 4. #16810981 | C2 | semidirect |
| 5. #16810972 | C2 | semidirect |
| 6. #16810968 | C2 | semidirect |
| 7. #16810625 | C2 | semidirect |
| 8. #16810624 | C2 | semidirect |
| 9. #16810622 | C2 | semidirect |
| 10. M16×Dic53 | C2 | semidirect |
| 11. C53×#417 | C2 | semidirect |
| 159. #417 | D53 | semidirect |
| 161. C53 | #3141 | semidirect |