Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
410 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 410 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. #17989121 | C2 | semidirect |
| 2. #17988993 | C2 | semidirect |
| 3. #17988974 | C2 | semidirect |
| 4. #17988951 | C2 | semidirect |
| 5. #17988949 | C2 | semidirect |
| 6. #17988821 | C2 | semidirect |
| 7. #17988814 | C2 | semidirect |
| 8. #17988697 | C2 | semidirect |
| 9. #17988687 | C2 | semidirect |
| 10. C2×#14556502 | C2 | semidirect |
| 11. #532×C73 | C2 | semidirect |
| 110. #10596831 | #41 | semidirect |
| 138. C73 | #3180 | semidirect |
| 139. #532 | D73 | semidirect |