Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
292 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 292 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 |
|---|---|---|
| 3. #17988542 | C2 | semidirect |
| 4. C2×#14556501 | C2 | semidirect |
| 5. #17988351 | C2 | semidirect |
| 6. #17988348 | C2 | semidirect |
| 12. #14556518 | C4 | semidirect |
| 13. #14556515 | C4 | semidirect |
| 14. #14556512 | C4 | semidirect |
| 20. #131×C73 | C4 | semidirect |
| 99. C73 | #1765 | semidirect |
| 109. #131 | Dic73 | semidirect |