Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
528 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 160 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. #17989654 | C2 | semidirect |
| 2. #17989628 | C2 | semidirect |
| 3. D8×#64408 | C2 | semidirect |
| 4. #17989597 | C2 | semidirect |
| 5. #17989579 | C2 | semidirect |
| 6. #17989550 | C2 | semidirect |
| 10. D4×#64408 | C22 | semidirect |
| 14. #14556660 | C22 | semidirect |
| 15. #14556659 | C22 | semidirect |
| 16. #14556653 | C22 | semidirect |
| 17. #14556645 | C22 | semidirect |
| 18. C8×#64408 | C22 | semidirect |
| 20. C2×D584 | C4 | semidirect |
| 21. C2×#11924013 | C4 | semidirect |
| 22. D8×D73 | C4 | semidirect |
| 23. D8×D73 | C4 | semidirect |
| 27. C2×D8×C73 | C4 | semidirect |
| 40. C2×D292 | C2×C4 | semidirect |
| 44. D4×D73 | C2×C4 | semidirect |
| 47. D584 | C2×C4 | semidirect |
| 48. D584 | C2×C4 | semidirect |
| 49. #11924013 | C2×C4 | semidirect |
| 50. #11924013 | C2×C4 | semidirect |
| 51. C2×#10596831 | C2×C4 | semidirect |
| 52. C8×D73 | C2×C4 | semidirect |
| 53. C8×D73 | C2×C4 | semidirect |
| 56. C2×D4×C73 | C2×C4 | semidirect |
| 57. D8×C73 | C2×C4 | semidirect |
| 58. D8×C73 | C2×C4 | semidirect |
| 59. C2×C8×C73 | C2×C4 | semidirect |
| 109. C73 | #2948 | semidirect |
| 124. C2×D8 | #64408 | semidirect |
| 144. C2×D4 | C2×#64408 | semidirect |
| 151. D8 | C2×#64408 | semidirect |
| 152. D8 | C2×#64408 | semidirect |
| 161. C2×C8 | C2×#64408 | semidirect |