Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
410 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 410 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 |
|---|---|---|
| 1. C2×#14556579 | C2 | semidirect |
| 2. #17988969 | C2 | semidirect |
| 3. #17988944 | C2 | semidirect |
| 4. #17988809 | C2 | semidirect |
| 5. #17988802 | C2 | semidirect |
| 6. #17988742 | C2 | semidirect |
| 7. #17988737 | C2 | semidirect |
| 8. #17988725 | C2 | semidirect |
| 10. #17988640 | C2 | semidirect |
| 11. #529×C73 | C2 | semidirect |
| 14. C2×#11924018 | C22 | semidirect |
| 15. C2×#11924016 | C22 | semidirect |
| 24. C4⋊#10596831 | C22 | semidirect |
| 25. #14556514 | C22 | semidirect |
| 26. #14556514 | C22 | semidirect |
| 31. C4×#10596831 | C22 | semidirect |
| 33. #125×C73 | C22 | semidirect |
| 34. #124×C73 | C22 | semidirect |
| 38. C4×Q8×C73 | C22 | semidirect |
| 40. C4×D4×C73 | C22 | semidirect |
| 144. C73 | #3211 | semidirect |
| 145. #529 | D73 | semidirect |
| 163. #125 | C2×D73 | semidirect |
| 168. #124 | C2×D73 | semidirect |
| 172. C4×Q8 | C2×D73 | semidirect |
| 174. C4×D4 | C2×D73 | semidirect |