Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
418 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 418 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 |
|---|---|---|
| 2. #17988911 | C2 | semidirect |
| 3. #17988911 | C2 | semidirect |
| 4. #17988905 | C2 | semidirect |
| 5. #17988900 | C2 | semidirect |
| 6. #17988627 | C2 | semidirect |
| 7. #17988623 | C2 | semidirect |
| 8. #17988591 | C2 | semidirect |
| 9. C2×#14556511 | C2 | semidirect |
| 10. #17988554 | C2 | semidirect |
| 11. #520×C73 | C2 | semidirect |
| 21. #14556524 | C22 | semidirect |
| 22. #14556524 | C22 | semidirect |
| 23. #14556524 | C22 | semidirect |
| 24. #14556522 | C22 | semidirect |
| 25. #14556522 | C22 | semidirect |
| 26. #14556522 | C22 | semidirect |
| 31. C22⋊#10596831 | C22 | semidirect |
| 32. C22⋊#10596831 | C22 | semidirect |
| 38. #117×C73 | C22 | semidirect |
| 40. C2×C4⋊C4×C73 | C22 | semidirect |
| 135. C73 | #3096 | semidirect |
| 137. #520 | D73 | semidirect |
| 161. #117 | C2×D73 | semidirect |
| 163. C2×C4⋊C4 | C2×D73 | semidirect |