Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
410 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 113 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. #17989123 | C2 | semidirect |
| 2. C2×#14556580 | C2 | semidirect |
| 3. #17988972 | C2 | semidirect |
| 4. #17988943 | C2 | semidirect |
| 5. #17988811 | C2 | semidirect |
| 6. #17988805 | C2 | semidirect |
| 7. #17988737 | C2 | semidirect |
| 8. #17988726 | C2 | semidirect |
| 10. #17988637 | C2 | semidirect |
| 11. #451×C73 | C2 | semidirect |
| 14. C2×#11924015 | C22 | semidirect |
| 17. #14556582 | C22 | semidirect |
| 22. #14556580 | C22 | semidirect |
| 25. Q8×Dic73 | C22 | semidirect |
| 26. #14556553 | C22 | semidirect |
| 32. #14556520 | C22 | semidirect |
| 33. #14556515 | C22 | semidirect |
| 37. C8×Dic73 | C22 | semidirect |
| 39. C2×Q16×C73 | C22 | semidirect |
| 41. #103×C73 | C22 | semidirect |
| 144. C73 | #3211 | semidirect |
| 151. #451 | D73 | semidirect |
| 158. C2×Q16 | C2×D73 | semidirect |
| 181. #103 | C2×D73 | semidirect |