Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
450 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 125 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×C4×D292 | C2 | semidirect |
| 2. #17988915 | C2 | semidirect |
| 3. #17988898 | C2 | semidirect |
| 4. #17988884 | C2 | semidirect |
| 5. #17988799 | C2 | semidirect |
| 6. #17988737 | C2 | semidirect |
| 8. #17988697 | C2 | semidirect |
| 9. #17988685 | C2 | semidirect |
| 10. #17988644 | C2 | semidirect |
| 11. #529×C73 | C2 | semidirect |
| 22. #14556524 | C22 | semidirect |
| 23. #14556522 | C22 | semidirect |
| 24. C4⋊#10596831 | C22 | semidirect |
| 25. #14556515 | C22 | semidirect |
| 26. #14556512 | C22 | semidirect |
| 31. #14556502 | C22 | semidirect |
| 33. #125×C73 | C22 | semidirect |
| 34. #124×C73 | C22 | semidirect |
| 38. C4×Q8×C73 | C22 | semidirect |
| 40. C4×D4×C73 | C22 | semidirect |
| 141. C73 | #3114 | semidirect |
| 142. #529 | D73 | semidirect |
| 158. #125 | C2×D73 | semidirect |
| 159. #124 | C2×D73 | semidirect |
| 163. C4×Q8 | C2×D73 | semidirect |
| 169. C4×D4 | C2×D73 | semidirect |