Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
418 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 418 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. #17989067 | C2 | semidirect |
| 3. #17988914 | C2 | semidirect |
| 4. #17988913 | C2 | semidirect |
| 5. #17988907 | C2 | semidirect |
| 6. #17988902 | C2 | semidirect |
| 7. #17988630 | C2 | semidirect |
| 8. #17988591 | C2 | semidirect |
| 9. C2×#14556513 | C2 | semidirect |
| 10. #17988553 | C2 | semidirect |
| 11. #427×C73 | C2 | semidirect |
| 23. #14556549 | C22 | semidirect |
| 25. C4⋊C4×D73 | C22 | semidirect |
| 26. #14556524 | C22 | semidirect |
| 27. #14556522 | C22 | semidirect |
| 32. #14556503 | C22 | semidirect |
| 33. #14556503 | C22 | semidirect |
| 37. #107×C73 | C22 | semidirect |
| 38. #107×C73 | C22 | semidirect |
| 39. #106×C73 | C22 | semidirect |
| 40. #106×C73 | C22 | semidirect |
| 135. C73 | #3096 | semidirect |
| 143. #427 | D73 | semidirect |
| 165. #107 | C2×D73 | semidirect |
| 166. #107 | C2×D73 | semidirect |
| 168. #106 | C2×D73 | semidirect |
| 169. #106 | C2×D73 | semidirect |