Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
532 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 532 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 |
|---|---|---|
| 1. #17989132 | C2 | semidirect |
| 2. C2×#14556587 | C2 | semidirect |
| 3. #17988962 | C2 | semidirect |
| 4. #17988932 | C2 | semidirect |
| 5. #17988781 | C2 | semidirect |
| 6. #17988780 | C2 | semidirect |
| 7. #17988723 | C2 | semidirect |
| 8. #17988721 | C2 | semidirect |
| 9. #17988720 | C2 | semidirect |
| 10. #17988637 | C2 | semidirect |
| 11. #447×C73 | C2 | semidirect |
| 16. C2×D584 | C22 | semidirect |
| 17. C2×#11924013 | C22 | semidirect |
| 18. C2×#11924013 | C22 | semidirect |
| 19. #14556590 | C22 | semidirect |
| 24. #14556587 | C22 | semidirect |
| 28. D4×Dic73 | C22 | semidirect |
| 29. #14556553 | C22 | semidirect |
| 32. #14556520 | C22 | semidirect |
| 33. #14556513 | C22 | semidirect |
| 34. #14556512 | C22 | semidirect |
| 35. #14556511 | C22 | semidirect |
| 37. C8×Dic73 | C22 | semidirect |
| 39. C2×D8×C73 | C22 | semidirect |
| 41. #102×C73 | C22 | semidirect |
| 117. C2×Dic73 | D8 | semidirect |
| 165. C73 | #3205 | semidirect |
| 175. #447 | D73 | semidirect |
| 185. C2×D8 | C2×D73 | semidirect |
| 204. #102 | C2×D73 | semidirect |