Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
420 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 121 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. #17988926 | C2 | semidirect |
| 4. #17988920 | C2 | semidirect |
| 5. #17988913 | C2 | semidirect |
| 6. #17988906 | C2 | semidirect |
| 7. #17988900 | C2 | semidirect |
| 8. #17988622 | C2 | semidirect |
| 9. #17988582 | C2 | semidirect |
| 10. C22⋊C8×D73 | C2 | semidirect |
| 11. #483×C73 | C2 | semidirect |
| 30. #14556524 | C22 | semidirect |
| 31. #14556524 | C22 | semidirect |
| 32. #14556523 | C22 | semidirect |
| 33. #14556515 | C22 | semidirect |
| 34. #14556513 | C22 | semidirect |
| 35. #14556511 | C22 | semidirect |
| 40. #106×C73 | C22 | semidirect |
| 41. #103×C73 | C22 | semidirect |
| 144. C73 | #3091 | semidirect |
| 149. #483 | D73 | semidirect |
| 179. #106 | C2×D73 | semidirect |
| 181. #103 | C2×D73 | semidirect |