Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
370 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 370 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. #17988989 | C2 | semidirect |
| 3. #17988971 | C2 | semidirect |
| 4. #17988942 | C2 | semidirect |
| 5. #17988845 | C2 | semidirect |
| 7. #17988833 | C2 | semidirect |
| 8. #17988700 | C2 | semidirect |
| 9. #17988695 | C2 | semidirect |
| 10. #17988689 | C2 | semidirect |
| 11. C4×M16×C73 | C2 | semidirect |
| 110. C73 | #3183 | semidirect |
| 121. C4×M16 | D73 | semidirect |