Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14556624 | C2 | semidirect |
| 3. C2×#14556578 | C2 | semidirect |
| 4. #17989055 | C2 | semidirect |
| 5. #17988808 | C2 | semidirect |
| 6. #17988801 | C2 | semidirect |
| 7. #17988610 | C2 | semidirect |
| 8. #17988595 | C2 | semidirect |
| 9. #418×C73 | C2 | semidirect |
| 14. C2×Dic292 | C22 | semidirect |
| 15. C2×#11924017 | C22 | semidirect |
| 22. #14556556 | C22 | semidirect |
| 23. #14556553 | C22 | semidirect |
| 29. #14556520 | C22 | semidirect |
| 30. #14556514 | C22 | semidirect |
| 126. C73 | #3040 | semidirect |
| 135. #418 | D73 | semidirect |