Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
548 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 143 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×#14556619 | C2 | semidirect |
| 2. C2×M16×D73 | C2 | semidirect |
| 3. #17989099 | C2 | semidirect |
| 4. C2×#14556566 | C2 | semidirect |
| 5. #17988841 | C2 | semidirect |
| 6. #17988834 | C2 | semidirect |
| 7. #17988824 | C2 | semidirect |
| 8. #17988817 | C2 | semidirect |
| 9. #17988591 | C2 | semidirect |
| 10. #17988586 | C2 | semidirect |
| 11. #428×C73 | C2 | semidirect |
| 17. C2×#11924017 | C22 | semidirect |
| 18. C2×D584 | C22 | semidirect |
| 20. C2×#11924011 | C22 | semidirect |
| 22. C2×C8×D73 | C22 | semidirect |
| 24. #14556571 | C22 | semidirect |
| 25. #14556571 | C22 | semidirect |
| 30. #14556566 | C22 | semidirect |
| 31. #14556566 | C22 | semidirect |
| 36. #14556514 | C22 | semidirect |
| 37. #14556511 | C22 | semidirect |
| 38. #14556511 | C22 | semidirect |
| 39. #14556511 | C22 | semidirect |
| 43. #107×C73 | C22 | semidirect |
| 44. #106×C73 | C22 | semidirect |
| 85. M16×C73 | D4 | semidirect |
| 135. C8×C73 | C2×D4 | semidirect |
| 154. C2×D73 | AGL(1,ℤ/8) | semidirect |
| 173. C73 | #3055 | semidirect |
| 182. #428 | D73 | semidirect |
| 212. #107 | C2×D73 | semidirect |
| 213. #106 | C2×D73 | semidirect |
| 248. M16 | D292 | semidirect |
| 309. C8 | C2×D292 | semidirect |