Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
738 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 157 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. C23×Dic106 | C2 | semidirect |
| 2. C2×#13133247 | C2 | semidirect |
| 3. #16810778 | C2 | semidirect |
| 4. #16810761 | C2 | semidirect |
| 5. #16810631 | C2 | semidirect |
| 6. #16810587 | C2 | semidirect |
| 15. C2×#11719925 | C22 | semidirect |
| 16. C2×#11719923 | C22 | semidirect |
| 18. #13133140 | C22 | semidirect |
| 49. C2×Dic106 | D4 | semidirect |
| 95. C22×C53 | #137 | semidirect |
| 116. C53 | #3004 | semidirect |
| 204. C22 | #13133247 | semidirect |