Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
414 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#14556549 | C2 | semidirect |
| 3. #17988931 | C2 | semidirect |
| 4. #17988930 | C2 | semidirect |
| 5. #17988914 | C2 | semidirect |
| 6. #17988913 | C2 | semidirect |
| 7. #17988630 | C2 | semidirect |
| 8. #17988589 | C2 | semidirect |
| 9. #17988586 | C2 | semidirect |
| 10. #17988550 | C2 | semidirect |
| 11. #428×C73 | C2 | semidirect |
| 30. #14556524 | C22 | semidirect |
| 31. #14556522 | C22 | semidirect |
| 32. #14556516 | C22 | semidirect |
| 33. #14556514 | C22 | semidirect |
| 34. #14556513 | C22 | semidirect |
| 35. #14556511 | C22 | semidirect |
| 41. #107×C73 | C22 | semidirect |
| 42. #106×C73 | C22 | semidirect |
| 153. C73 | #3093 | semidirect |
| 161. #428 | D73 | semidirect |
| 187. #107 | C2×D73 | semidirect |
| 189. #106 | C2×D73 | semidirect |