Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
460 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 117 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. #17989302 | C2 | semidirect |
| 2. D4×D292 | C2 | semidirect |
| 3. #17988934 | C2 | semidirect |
| 4. #17988914 | C2 | semidirect |
| 5. #17988877 | C2 | semidirect |
| 6. #17988839 | C2 | semidirect |
| 7. #17988782 | C2 | semidirect |
| 8. #17988719 | C2 | semidirect |
| 9. #17988666 | C2 | semidirect |
| 10. #17988590 | C2 | semidirect |
| 11. C4×D8×C73 | C2 | semidirect |
| 14. C2×#11924013 | C22 | semidirect |
| 15. C2×#11924011 | C22 | semidirect |
| 16. #14556591 | C22 | semidirect |
| 22. #14556562 | C22 | semidirect |
| 26. #14556549 | C22 | semidirect |
| 27. #14556522 | C22 | semidirect |
| 28. C4⋊#10596831 | C22 | semidirect |
| 29. #14556513 | C22 | semidirect |
| 30. #14556513 | C22 | semidirect |
| 32. #14556511 | C22 | semidirect |
| 33. #14556503 | C22 | semidirect |
| 36. C4×D4×C73 | C22 | semidirect |
| 37. #107×C73 | C22 | semidirect |
| 39. #102×C73 | C22 | semidirect |
| 40. C4×C8×C73 | C22 | semidirect |
| 141. C73 | #3325 | semidirect |
| 150. C4×D8 | D73 | semidirect |
| 168. C4×D4 | C2×D73 | semidirect |
| 171. #107 | C2×D73 | semidirect |
| 179. #102 | C2×D73 | semidirect |
| 181. C4×C8 | C2×D73 | semidirect |