Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
704 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 145 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×#14556624 | C2 | semidirect |
| 3. #17989158 | C2 | semidirect |
| 4. #17988772 | C2 | semidirect |
| 5. #17988767 | C2 | semidirect |
| 6. #17988603 | C2 | semidirect |
| 7. #413×C73 | C2 | semidirect |
| 16. C22×Dic146 | C22 | semidirect |
| 18. #14556624 | C22 | semidirect |
| 21. #14556589 | C22 | semidirect |
| 22. #14556578 | C22 | semidirect |
| 25. #14556550 | C22 | semidirect |
| 26. #14556517 | C22 | semidirect |
| 28. C2×M16×C73 | C22 | semidirect |
| 29. #101×C73 | C22 | semidirect |
| 30. #100×C73 | C22 | semidirect |
| 130. C73 | #3022 | semidirect |
| 137. #413 | D73 | semidirect |
| 152. C2×M16 | C2×D73 | semidirect |
| 159. #101 | C2×D73 | semidirect |
| 160. #100 | C2×D73 | semidirect |