Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
410 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 2. #17988925 | C2 | semidirect |
| 3. #17988911 | C2 | semidirect |
| 4. #17988835 | C2 | semidirect |
| 5. #17988818 | C2 | semidirect |
| 6. #17988737 | C2 | semidirect |
| 7. #17988726 | C2 | semidirect |
| 8. #17988554 | C2 | semidirect |
| 9. #536×C73 | C2 | semidirect |
| 13. C2×#11924012 | C22 | semidirect |
| 14. C22×#10596831 | C22 | semidirect |
| 22. #14556524 | C22 | semidirect |
| 23. #14556522 | C22 | semidirect |
| 24. #14556515 | C22 | semidirect |
| 25. #14556515 | C22 | semidirect |
| 29. C22⋊#10596831 | C22 | semidirect |
| 31. C22×Q8×C73 | C22 | semidirect |
| 37. C22⋊Q8×C73 | C22 | semidirect |
| 38. #117×C73 | C22 | semidirect |
| 138. C73 | #3200 | semidirect |
| 139. #536 | D73 | semidirect |
| 149. C22×Q8 | C2×D73 | semidirect |
| 162. C22⋊Q8 | C2×D73 | semidirect |
| 168. #117 | C2×D73 | semidirect |