Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
764 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 764 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14556637 | C2 | semidirect |
| 2. C2×#14556619 | C2 | semidirect |
| 3. C2×#14556611 | C2 | semidirect |
| 4. #17989168 | C2 | semidirect |
| 5. #17988752 | C2 | semidirect |
| 6. #17988739 | C2 | semidirect |
| 7. #17988735 | C2 | semidirect |
| 8. #17988722 | C2 | semidirect |
| 9. C2×#14556511 | C2 | semidirect |
| 10. #17988555 | C2 | semidirect |
| 11. #417×C73 | C2 | semidirect |
| 17. C2×#11924028 | C22 | semidirect |
| 24. C2×#11924018 | C22 | semidirect |
| 25. C2×#11924017 | C22 | semidirect |
| 26. C2×#11924016 | C22 | semidirect |
| 27. C2×#11924015 | C22 | semidirect |
| 28. C2×D584 | C22 | semidirect |
| 29. C2×#11924013 | C22 | semidirect |
| 30. C22×#10596831 | C22 | semidirect |
| 32. #14556571 | C22 | semidirect |
| 34. #14556566 | C22 | semidirect |
| 36. #14556511 | C22 | semidirect |
| 37. #14556511 | C22 | semidirect |
| 38. #14556503 | C22 | semidirect |
| 39. #14556503 | C22 | semidirect |
| 41. C2×M16×C73 | C22 | semidirect |
| 42. C2×C4⋊C4×C73 | C22 | semidirect |
| 43. #103×C73 | C22 | semidirect |
| 44. #102×C73 | C22 | semidirect |
| 62. C2×D292 | D4 | semidirect |
| 87. #41×C73 | D4 | semidirect |
| 179. C73 | #3012 | semidirect |
| 188. #417 | D73 | semidirect |
| 210. C2×M16 | C2×D73 | semidirect |
| 217. C2×C4⋊C4 | C2×D73 | semidirect |
| 218. #103 | C2×D73 | semidirect |
| 221. #102 | C2×D73 | semidirect |
| 234. #41 | D292 | semidirect |