Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
400 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 133 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. #17989144 | C2 | semidirect |
| 2. #17988946 | C2 | semidirect |
| 3. #17988941 | C2 | semidirect |
| 4. #17988596 | C2 | semidirect |
| 6. C4×#11924012 | C2 | semidirect |
| 9. #14556591 | C22 | semidirect |
| 10. #14556583 | C22 | semidirect |
| 14. #14556515 | C22 | semidirect |
| 16. #14556502 | C22 | semidirect |
| 17. C4×#10596831 | C22 | semidirect |
| 84. C73 | #3140 | semidirect |