Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 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. #17989121 | C2 | semidirect |
| 2. #17988969 | C2 | semidirect |
| 3. #17988941 | C2 | semidirect |
| 4. #17988794 | C2 | semidirect |
| 5. #17988789 | C2 | semidirect |
| 6. #17988784 | C2 | semidirect |
| 7. #17988779 | C2 | semidirect |
| 8. #17988749 | C2 | semidirect |
| 9. #17988732 | C2 | semidirect |
| 10. #17988640 | C2 | semidirect |
| 11. #532×C73 | C2 | semidirect |
| 145. C73 | #3212 | semidirect |
| 146. #532 | D73 | semidirect |