Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
300 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 117 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. #17988545 | C2 | semidirect |
| 4. C2×C4×#10596831 | C2 | semidirect |
| 5. #17988351 | C2 | semidirect |
| 6. #17988347 | C2 | semidirect |
| 9. #14556598 | C4 | semidirect |
| 16. #14556515 | C4 | semidirect |
| 17. #14556512 | C4 | semidirect |
| 24. #104×C73 | C4 | semidirect |
| 99. C73 | #1764 | semidirect |
| 118. #104 | Dic73 | semidirect |