Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
584 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 584 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. C2×#14556619 | C2 | semidirect |
| 2. C2×#14556617 | C2 | semidirect |
| 3. C2×#14556587 | C2 | semidirect |
| 4. #17989055 | C2 | semidirect |
| 5. #17988786 | C2 | semidirect |
| 6. #17988781 | C2 | semidirect |
| 7. #17988610 | C2 | semidirect |
| 8. #17988591 | C2 | semidirect |
| 9. #418×C73 | C2 | semidirect |
| 15. C2×#11924017 | C22 | semidirect |
| 16. C2×#11924016 | C22 | semidirect |
| 17. C2×D584 | C22 | semidirect |
| 18. C2×#11924013 | C22 | semidirect |
| 23. #14556556 | C22 | semidirect |
| 24. #14556553 | C22 | semidirect |
| 29. #14556520 | C22 | semidirect |
| 30. #14556511 | C22 | semidirect |
| 34. #102×C73 | C22 | semidirect |
| 37. #11924028 | D4 | semidirect |
| 101. D292 | C2×D4 | semidirect |
| 105. Dic146 | C2×D4 | semidirect |
| 125. Dic73 | AGL(1,ℤ/8) | semidirect |
| 133. C73 | #3038 | semidirect |
| 142. #418 | D73 | semidirect |
| 167. #102 | C2×D73 | semidirect |