Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
548 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 135 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. C2×#14556616 | C2 | semidirect |
| 2. C2×M16×D73 | C2 | semidirect |
| 3. #17989094 | C2 | semidirect |
| 4. C2×#14556566 | C2 | semidirect |
| 5. #17988839 | C2 | semidirect |
| 6. #17988836 | C2 | semidirect |
| 7. #17988822 | C2 | semidirect |
| 8. #17988819 | C2 | semidirect |
| 9. #17988627 | C2 | semidirect |
| 10. #17988593 | C2 | semidirect |
| 11. #417×C73 | C2 | semidirect |
| 16. C2×#11924015 | C22 | semidirect |
| 17. C2×#11924013 | C22 | semidirect |
| 19. C2×#11924011 | C22 | semidirect |
| 21. C2×C8×D73 | C22 | semidirect |
| 23. #14556567 | C22 | semidirect |
| 24. #14556567 | C22 | semidirect |
| 29. #14556562 | C22 | semidirect |
| 30. #14556562 | C22 | semidirect |
| 36. #14556524 | C22 | semidirect |
| 37. #14556522 | C22 | semidirect |
| 38. #14556513 | C22 | semidirect |
| 39. #14556513 | C22 | semidirect |
| 43. #103×C73 | C22 | semidirect |
| 44. #102×C73 | C22 | semidirect |
| 65. #11924012 | D4 | semidirect |
| 136. #10596831 | C2×D4 | semidirect |
| 154. C2×D73 | AGL(1,ℤ/8) | semidirect |
| 173. C73 | #3055 | semidirect |
| 184. #417 | D73 | semidirect |
| 214. #103 | C2×D73 | semidirect |
| 217. #102 | C2×D73 | semidirect |