Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
546 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 546 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14556615 | C2 | semidirect |
| 2. #17989241 | C2 | semidirect |
| 3. D4×D292 | C2 | semidirect |
| 4. #17988960 | C2 | semidirect |
| 5. #17988834 | C2 | semidirect |
| 6. #17988792 | C2 | semidirect |
| 7. #17988782 | C2 | semidirect |
| 8. #17988739 | C2 | semidirect |
| 9. #17988733 | C2 | semidirect |
| 10. #17988666 | C2 | semidirect |
| 11. C4×D8×C73 | C2 | semidirect |
| 12. C2×#11924027 | C22 | semidirect |
| 16. C2×#11924017 | C22 | semidirect |
| 17. C2×#11924017 | C22 | semidirect |
| 19. C2×#11924013 | C22 | semidirect |
| 20. C2×#11924011 | C22 | semidirect |
| 21. #14556591 | C22 | semidirect |
| 24. #14556571 | C22 | semidirect |
| 31. C4⋊#10596831 | C22 | semidirect |
| 32. #14556514 | C22 | semidirect |
| 33. #14556511 | C22 | semidirect |
| 34. #14556503 | C22 | semidirect |
| 37. C4×D4×C73 | C22 | semidirect |
| 38. #107×C73 | C22 | semidirect |
| 40. #102×C73 | C22 | semidirect |
| 41. C4×C8×C73 | C22 | semidirect |
| 75. D8×C73 | D4 | semidirect |
| 93. D4×C73 | C2×D4 | semidirect |
| 117. C8×C73 | C2×D4 | semidirect |
| 136. C4×C73 | AGL(1,ℤ/8) | semidirect |
| 149. C73 | #3272 | semidirect |
| 159. C4×D8 | D73 | semidirect |
| 181. C4×D4 | C2×D73 | semidirect |
| 183. #107 | C2×D73 | semidirect |
| 188. #102 | C2×D73 | semidirect |
| 190. C4×C8 | C2×D73 | semidirect |
| 215. D8 | D292 | semidirect |
| 252. D4 | C2×D292 | semidirect |
| 267. C8 | C2×D292 | semidirect |
| 287. C4 | #14556615 | semidirect |