Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
216 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 56 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. #17989602 | C2 | semidirect |
| 4. M16×#64408 | C2 | semidirect |
| 5. #17989470 | C2 | semidirect |
| 6. #17989459 | C2 | semidirect |
| 23. #14556510 | C4 | semidirect |
| 24. #14556507 | C4 | semidirect |
| 25. #14556507 | C4 | semidirect |
| 26. #101×C73 | C4 | semidirect |
| 106. C73 | #1932 | semidirect |
| 128. #101 | #64408 | semidirect |