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. #17989385 | C2 | semidirect |
| 2. C2×#14556617 | C2 | semidirect |
| 3. #17989353 | C2 | semidirect |
| 4. #17988854 | C2 | semidirect |
| 5. #17988847 | C2 | semidirect |
| 6. #17988636 | C2 | semidirect |
| 7. #17988571 | C2 | semidirect |
| 8. C2×#14556508 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C73 | C2 | semidirect |
| 11. #14556622 | C22 | semidirect |
| 15. #14556617 | C22 | semidirect |
| 21. #14556597 | C22 | semidirect |
| 26. #14556527 | C22 | semidirect |
| 27. #14556510 | C22 | semidirect |
| 28. #14556508 | C22 | semidirect |
| 29. #14556508 | C22 | semidirect |
| 34. C2×SD16×C73 | C22 | semidirect |
| 35. C2×D8×C73 | C22 | semidirect |
| 148. C73 | #3068 | semidirect |
| 151. C2×AGL(1,ℤ/8) | D73 | semidirect |
| 171. C2×SD16 | C2×D73 | semidirect |
| 173. C2×D8 | C2×D73 | semidirect |