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×#14556616 | C2 | semidirect |
| 2. D4×D292 | C2 | semidirect |
| 3. #17988961 | C2 | semidirect |
| 4. #17988835 | C2 | semidirect |
| 5. #17988789 | C2 | semidirect |
| 6. #17988782 | C2 | semidirect |
| 7. #17988737 | C2 | semidirect |
| 8. #17988732 | C2 | semidirect |
| 9. C4×#11924013 | C2 | semidirect |
| 10. #17988665 | C2 | semidirect |
| 11. #547×C73 | C2 | semidirect |
| 16. C2×#11924015 | C22 | semidirect |
| 17. C2×#11924015 | C22 | semidirect |
| 19. C2×#11924013 | C22 | semidirect |
| 20. C2×#11924012 | C22 | semidirect |
| 26. #14556524 | C22 | semidirect |
| 27. C4⋊#10596831 | C22 | semidirect |
| 28. #14556515 | C22 | semidirect |
| 29. #14556512 | C22 | semidirect |
| 31. #14556511 | C22 | semidirect |
| 32. C22⋊#10596831 | C22 | semidirect |
| 33. C4×#10596831 | C22 | semidirect |
| 34. C2×#41×C73 | C22 | semidirect |
| 35. C4⋊Q8×C73 | C22 | semidirect |
| 37. C22⋊Q8×C73 | C22 | semidirect |
| 40. C4×D4×C73 | C22 | semidirect |
| 57. #11924013 | D4 | semidirect |
| 95. D4×C73 | C2×D4 | semidirect |
| 118. #10596831 | C2×D4 | semidirect |
| 137. C4×C73 | AGL(1,ℤ/8) | semidirect |
| 149. C73 | #3272 | semidirect |
| 151. #547 | D73 | semidirect |
| 161. C2×#41 | C2×D73 | semidirect |
| 171. C4⋊Q8 | C2×D73 | semidirect |
| 174. C22⋊Q8 | C2×D73 | semidirect |
| 181. C4×D4 | C2×D73 | semidirect |
| 252. D4 | D4×D73 | semidirect |
| 287. C4 | #14556616 | semidirect |