Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
450 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 117 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. #17989118 | C2 | semidirect |
| 2. C2×#14556553 | C2 | semidirect |
| 3. #17988917 | C2 | semidirect |
| 4. #17988890 | C2 | semidirect |
| 5. #17988801 | C2 | semidirect |
| 6. #17988740 | C2 | semidirect |
| 8. #17988696 | C2 | semidirect |
| 9. #17988686 | C2 | semidirect |
| 10. #17988641 | C2 | semidirect |
| 11. #480×C73 | C2 | semidirect |
| 17. #14556582 | C22 | semidirect |
| 18. #14556578 | C22 | semidirect |
| 21. #14556556 | C22 | semidirect |
| 23. D4×Dic73 | C22 | semidirect |
| 31. #14556522 | C22 | semidirect |
| 32. #14556520 | C22 | semidirect |
| 33. #14556514 | C22 | semidirect |
| 37. #14556501 | C22 | semidirect |
| 40. #107×C73 | C22 | semidirect |
| 41. #102×C73 | C22 | semidirect |
| 141. C73 | #3114 | semidirect |
| 145. #480 | D73 | semidirect |
| 174. #107 | C2×D73 | semidirect |
| 180. #102 | C2×D73 | semidirect |