Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
732 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 732 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#14556638 | C2 | semidirect |
| 2. C2×#14556616 | C2 | semidirect |
| 3. C22×#11924017 | C2 | semidirect |
| 4. #17989156 | C2 | semidirect |
| 5. #17988733 | C2 | semidirect |
| 6. #17988727 | C2 | semidirect |
| 7. #17988595 | C2 | semidirect |
| 8. #17988553 | C2 | semidirect |
| 9. #416×C73 | C2 | semidirect |
| 15. C2×#11924027 | C22 | semidirect |
| 18. C2×Q8×D73 | C22 | semidirect |
| 30. #14556514 | C22 | semidirect |
| 31. #14556503 | C22 | semidirect |
| 35. #103×C73 | C22 | semidirect |
| 36. #102×C73 | C22 | semidirect |
| 49. C2×Dic146 | D4 | semidirect |
| 72. #41×C73 | D4 | semidirect |
| 146. C73 | #3010 | semidirect |
| 154. #416 | D73 | semidirect |
| 180. #103 | C2×D73 | semidirect |
| 181. #102 | C2×D73 | semidirect |
| 191. #41 | D292 | semidirect |