Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#11924013 | C2 | semidirect |
| 2. #17989151 | C2 | semidirect |
| 3. #17989062 | C2 | semidirect |
| 4. #17988804 | C2 | semidirect |
| 5. #17988780 | C2 | semidirect |
| 6. #17988615 | C2 | semidirect |
| 7. #17988593 | C2 | semidirect |
| 8. #17988583 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C73 | C2 | semidirect |
| 14. #14556587 | C22 | semidirect |
| 15. #14556580 | C22 | semidirect |
| 19. D4×Dic73 | C22 | semidirect |
| 23. #14556520 | C22 | semidirect |
| 24. #14556515 | C22 | semidirect |
| 25. #14556513 | C22 | semidirect |
| 26. #14556512 | C22 | semidirect |
| 30. C2×SD16×C73 | C22 | semidirect |
| 31. C2×D8×C73 | C22 | semidirect |
| 58. C2×D4×C73 | D4 | semidirect |
| 122. C73 | #3041 | semidirect |
| 123. C2×AGL(1,ℤ/8) | D73 | semidirect |
| 136. C2×SD16 | C2×D73 | semidirect |
| 139. C2×D8 | C2×D73 | semidirect |
| 168. C2×D4 | C22⋊D73 | semidirect |