Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
466 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 137 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×#14556616 | C2 | semidirect |
| 3. #17989354 | C2 | semidirect |
| 4. #17988855 | C2 | semidirect |
| 5. #17988852 | C2 | semidirect |
| 6. #17988635 | C2 | semidirect |
| 7. #17988571 | C2 | semidirect |
| 8. C2×#14556507 | C2 | semidirect |
| 9. #575×C73 | C2 | semidirect |
| 16. C2×#11924015 | C22 | semidirect |
| 18. C2×#11924013 | C22 | semidirect |
| 20. #14556598 | C22 | semidirect |
| 25. #14556526 | C22 | semidirect |
| 26. #14556510 | C22 | semidirect |
| 27. #14556508 | C22 | semidirect |
| 28. #14556507 | C22 | semidirect |
| 32. #137×C73 | C22 | semidirect |
| 34. AGL(1,ℤ/8)×C73 | C22 | semidirect |
| 148. C73 | #3068 | semidirect |
| 149. #575 | D73 | semidirect |
| 162. #137 | C2×D73 | semidirect |
| 168. AGL(1,ℤ/8) | C2×D73 | semidirect |