Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
556 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 556 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. #17988963 | C2 | semidirect |
| 4. #17988838 | C2 | semidirect |
| 5. #17988787 | C2 | semidirect |
| 6. #17988779 | C2 | semidirect |
| 7. #17988732 | C2 | semidirect |
| 8. #17988720 | C2 | semidirect |
| 9. C4×#11924015 | C2 | semidirect |
| 10. #17988665 | C2 | semidirect |
| 11. #550×C73 | C2 | semidirect |
| 16. C2×#11924015 | C22 | semidirect |
| 18. C2×#11924013 | C22 | semidirect |
| 19. C2×#11924013 | C22 | semidirect |
| 20. C2×#11924012 | C22 | semidirect |
| 26. #14556522 | 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 |
| 36. #127×C73 | C22 | semidirect |
| 38. #121×C73 | C22 | semidirect |
| 39. C4×Q8×C73 | C22 | semidirect |
| 54. #11924015 | D4 | semidirect |
| 91. Q8×C73 | C2×D4 | semidirect |
| 120. #10596831 | C2×D4 | semidirect |
| 139. C4×C73 | AGL(1,ℤ/8) | semidirect |
| 151. C73 | #3274 | semidirect |
| 153. #550 | D73 | semidirect |
| 163. C2×#41 | C2×D73 | semidirect |
| 175. #127 | C2×D73 | semidirect |
| 179. #121 | C2×D73 | semidirect |
| 181. C4×Q8 | C2×D73 | semidirect |
| 242. Q8 | D4×D73 | semidirect |
| 291. C4 | #14556616 | semidirect |