Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
320 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 92 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 |
|---|---|---|
| 2. C4×#11924038 | C2 | semidirect |
| 3. #17989523 | C2 | semidirect |
| 4. #17989457 | C2 | semidirect |
| 8. #14556655 | C4 | semidirect |
| 14. C4×Dic146 | C4 | semidirect |
| 15. #14556556 | C4 | semidirect |
| 16. D4×Dic73 | C4 | semidirect |
| 23. C4×D4×C73 | C4 | semidirect |
| 26. #11924038 | C2×C4 | semidirect |
| 29. C4×#64408 | C2×C4 | semidirect |
| 106. C73 | #1759 | semidirect |
| 119. C4×D4 | #64408 | semidirect |