Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
452 conjugacy classes of subgroups; only the 158 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 158 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. #17989665 | C2 | semidirect |
| 2. #17989634 | C2 | semidirect |
| 3. #17989629 | C2 | semidirect |
| 4. D73⋊#108 | C2 | semidirect |
| 5. #17989585 | C2 | semidirect |
| 6. #17989550 | C2 | semidirect |
| 9. #14556678 | C22 | semidirect |
| 14. #14556662 | C22 | semidirect |
| 15. #14556661 | C22 | semidirect |
| 16. #14556655 | C22 | semidirect |
| 17. #14556645 | C22 | semidirect |
| 18. C8×#64408 | C22 | semidirect |
| 20. #14556610 | C4 | semidirect |
| 21. #14556610 | C4 | semidirect |
| 24. C2×Dic292 | C4 | semidirect |
| 25. C2×#11924016 | C4 | semidirect |
| 27. C2×D8×C73 | C4 | semidirect |
| 102. C73 | #2957 | semidirect |
| 117. C2×D8 | #64408 | semidirect |