Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 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 |
|---|---|---|
| 1. #17989215 | C2 | semidirect |
| 3. #17988950 | C2 | semidirect |
| 4. #17988948 | C2 | semidirect |
| 5. #17988943 | C2 | semidirect |
| 6. #17988932 | C2 | semidirect |
| 7. #17988591 | C2 | semidirect |
| 8. #17988588 | C2 | semidirect |
| 9. C2×#14556513 | C2 | semidirect |
| 10. #17988542 | C2 | semidirect |
| 11. #416×C73 | C2 | semidirect |
| 15. #14556590 | C22 | semidirect |
| 18. #14556582 | C22 | semidirect |
| 26. #14556515 | C22 | semidirect |
| 29. #14556512 | C22 | semidirect |
| 32. #14556501 | C22 | semidirect |
| 33. C8×Dic73 | C22 | semidirect |
| 37. #103×C73 | C22 | semidirect |
| 38. #103×C73 | C22 | semidirect |
| 39. #102×C73 | C22 | semidirect |
| 40. #102×C73 | C22 | semidirect |
| 136. C73 | #3136 | semidirect |
| 145. #416 | D73 | semidirect |
| 166. #103 | C2×D73 | semidirect |
| 167. #103 | C2×D73 | semidirect |
| 173. #102 | C2×D73 | semidirect |
| 174. #102 | C2×D73 | semidirect |