Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
448 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 117 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. #17989310 | C2 | semidirect |
| 3. #17988934 | C2 | semidirect |
| 4. #17988913 | C2 | semidirect |
| 5. #17988867 | C2 | semidirect |
| 6. #17988836 | C2 | semidirect |
| 7. #17988787 | C2 | semidirect |
| 8. #17988736 | C2 | semidirect |
| 9. #17988666 | C2 | semidirect |
| 10. #17988590 | C2 | semidirect |
| 11. C4×SD16×C73 | C2 | semidirect |
| 14. C2×#11924015 | C22 | semidirect |
| 15. C2×#11924011 | C22 | semidirect |
| 16. #14556591 | C22 | semidirect |
| 20. #14556567 | C22 | semidirect |
| 26. #14556549 | C22 | semidirect |
| 27. #14556524 | C22 | semidirect |
| 28. C4⋊#10596831 | C22 | semidirect |
| 29. #14556513 | C22 | semidirect |
| 30. #14556513 | C22 | semidirect |
| 32. #14556511 | C22 | semidirect |
| 33. #14556503 | C22 | semidirect |
| 35. C4×Q8×C73 | C22 | semidirect |
| 37. #106×C73 | C22 | semidirect |
| 38. #103×C73 | C22 | semidirect |
| 40. C4×C8×C73 | C22 | semidirect |
| 136. C73 | #3324 | semidirect |
| 145. C4×SD16 | D73 | semidirect |
| 162. C4×Q8 | C2×D73 | semidirect |
| 167. #106 | C2×D73 | semidirect |
| 169. #103 | C2×D73 | semidirect |
| 176. C4×C8 | C2×D73 | semidirect |